{ "cells": [ { "cell_type": "markdown", "id": "undefined-amber", "metadata": {}, "source": [ "# Introduction to Wavelet Analysis" ] }, { "cell_type": "markdown", "id": "dietary-portuguese", "metadata": {}, "source": [ "## Why not use Fourier analysis?" ] }, { "cell_type": "markdown", "id": "everyday-release", "metadata": {}, "source": [ "In **Fourier analysis**, a time series is decomposed into its constituent periodic components, or frequencies. However, Fourier analysis provides only a static view, revealing the frequencies present in the entire series without indicating how they evolve over time. \n", "\n", "In contrast, **Wavelet analysis** offers a dynamic perspective by identifying which frequencies are present at specific points in time. This allows for a time-varying understanding of the signal’s frequency content.\n" ] }, { "cell_type": "markdown", "id": "religious-librarian", "metadata": {}, "source": [ "## Example: Periodic time series with noise" ] }, { "cell_type": "markdown", "id": "christian-constraint", "metadata": {}, "source": [ "### 1. Constant frequency" ] }, { "cell_type": "markdown", "id": "parallel-moses", "metadata": {}, "source": [ "Let's define a sine function over a certain time interval and add noise." ] }, { "cell_type": "code", "execution_count": 1, "id": "earlier-latitude", "metadata": {}, "outputs": [], "source": [ "# Import necessary library\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "id": "suspended-stanley", "metadata": {}, "outputs": [], "source": [ "# Create an array 't' that represents the time steps from 0 to 1000 with a step of 1.\n", "# This array will be used as the x-axis or time component in the signal.\n", "t = np.arange(0, 1000, 1)\n", "\n", "# Generate a time series 'y' that is the sum of two components:\n", "# 1. A sinusoidal wave (sine function) with a frequency factor of 1/10 (t/10).\n", "# 2. Random noise sampled from a normal distribution with mean 0 and standard deviation 0.1.\n", "# This noisy sine wave will serve as our signal.\n", "y = np.sin(t/10) + np.random.normal(0, 0.1, 1000)" ] }, { "cell_type": "code", "execution_count": 3, "id": "modular-disaster", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Noisy Sine Wave Signal')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the time series 'y' against the time array 't'.\n", "# The x-axis represents time, and the y-axis represents the signal.\n", "# The plot displays the noisy sine wave signal over the time range of 0 to 1000.\n", "plt.plot(t, y)\n", "\n", "# Add labels to the axes for clarity\n", "plt.xlabel('Time')\n", "plt.ylabel('Signal Value')\n", "\n", "# Set the title of the plot to provide context\n", "plt.title('Noisy Sine Wave Signal')" ] }, { "cell_type": "markdown", "id": "disciplinary-cooking", "metadata": {}, "source": [ "Next, we look at the power spectrum of the function. It is defined as the squared absolute of the Fourier transform and thus gives the distribution of power in frequency space. For computing the Fourier transform, we use the in-built function `np.fft.fft()`" ] }, { "cell_type": "code", "execution_count": 4, "id": "alien-rolling", "metadata": {}, "outputs": [], "source": [ "# Compute the Fast Fourier Transform (FFT) of the noisy sine wave signal 'y'.\n", "# FFT is used to transform the signal from the time domain to the frequency domain.\n", "fft = np.fft.fft(y)\n", "\n", "# Compute the corresponding frequencies for each FFT component.\n", "# 'fftfreq' generates an array of frequencies associated with the FFT result.\n", "# The 't.shape[-1]' refers to the length of the time series (number of data points).\n", "freq = np.fft.fftfreq(t.shape[-1])\n", "\n", "# Compute the power spectrum by taking the square of the absolute value of the FFT components.\n", "# This gives the power of each frequency component in the signal.\n", "power = (np.abs(fft))**2" ] }, { "cell_type": "code", "execution_count": 5, "id": "metallic-header", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/38/z0l88jxs5cxc27_d0dp0r78c0000gn/T/ipykernel_38643/3369099289.py:4: RuntimeWarning: divide by zero encountered in divide\n", " plt.plot(1/freq, power)\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'Power Spectrum of the Signal')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the power spectrum (frequency vs. power) by plotting the inverse of the frequencies against the power.\n", "# The x-axis represents the period (1/frequency), and the y-axis represents the power at each frequency.\n", "# Inverse of the frequency (1/freq) is used to represent the period of the signal components.\n", "plt.plot(1/freq, power)\n", "\n", "# Set the x-axis limits to focus on a specific frequency range (in this case, between periods 40 and 80).\n", "# This helps zoom into a region of interest for better visualization of the power spectrum in that frequency range.\n", "plt.xlim(40, 80)\n", "\n", "# Add labels to the axes for clarity\n", "plt.xlabel('Period (1/Frequency)')\n", "plt.ylabel('Power')\n", "\n", "# Set the title of the plot to provide context\n", "plt.title('Power Spectrum of the Signal')" ] }, { "cell_type": "markdown", "id": "superior-fleece", "metadata": {}, "source": [ "In this example, the power spectrum (Fourier transform) is sufficient because the frequency remains constant over time. However, in the following example, we will explore a case where the frequency varies with time, and the analysis will need to account for these time-dependent changes." ] }, { "cell_type": "markdown", "id": "indie-first", "metadata": {}, "source": [ "### 2. Time-dependent frequency" ] }, { "cell_type": "code", "execution_count": 6, "id": "violent-watershed", "metadata": {}, "outputs": [], "source": [ "# Create two time arrays 't1' and 't2', representing two time segments\n", "# 't1' spans from 0 to 500 with a step size of 1\n", "# 't2' spans from 500 to 1000 with a step size of 1\n", "t1 = np.arange(0, 500, 1)\n", "t2 = np.arange(500, 1000, 1)\n", "\n", "# Generate two noisy sine wave signals 'y1' and 'y2' for each time segment\n", "# y1: Sine wave with a frequency factor of 1/5 (t1/5), plus Gaussian noise (mean = 0, std = 0.1)\n", "# This represents the first part of the signal.\n", "y1 = np.sin(t1/5) + np.random.normal(0, 0.1, 500)\n", "\n", "# y2: Sine wave with a frequency factor of 1/15 (t2/15), plus Gaussian noise (mean = 0, std = 0.1)\n", "# This represents the second part of the signal, with a different frequency.\n", "y2 = np.sin(t2/15) + np.random.normal(0, 0.1, 500)" ] }, { "cell_type": "code", "execution_count": 7, "id": "announced-blond", "metadata": {}, "outputs": [], "source": [ "# Concatenate the two signals 'y1' and 'y2' into one continuous signal\n", "y = np.concatenate((y1, y2))" ] }, { "cell_type": "code", "execution_count": 8, "id": "portable-easter", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Concatenated Noisy Sine Wave Signal')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the concatenated signal 'y' against the time array 't'.\n", "# The x-axis represents time, and the y-axis represents the signal values (combined from y1 and y2).\n", "plt.plot(t, y)\n", "\n", "# Add labels to the axes for clarity\n", "plt.xlabel('Time')\n", "\n", "# Set the label for the y-axis as the signal values\n", "plt.ylabel('Signal Value')\n", "\n", "# Set the title of the plot to provide context\n", "plt.title('Concatenated Noisy Sine Wave Signal')" ] }, { "cell_type": "markdown", "id": "cardiac-theta", "metadata": {}, "source": [ "We will compare this time series to one in which both frequencies are present continuously throughout the entire time interval" ] }, { "cell_type": "code", "execution_count": 9, "id": "recovered-judge", "metadata": {}, "outputs": [], "source": [ "# Create two sine wave signals 'z1' and 'z2' with different frequencies\n", "# z1: Sine wave with a frequency factor of 1/5 (t/5), representing a low-frequency component\n", "z1 = np.sin(t/5)\n", "\n", "# z2: Sine wave with a frequency factor of 1/15 (t/15), representing a higher-frequency component\n", "z2 = np.sin(t/15)\n", "\n", "# Combine the two sine waves 'z1' and 'z2' by averaging them (adding them and dividing by 2)\n", "# Then add Gaussian noise with mean 0 and standard deviation 0.1 to simulate real-world data\n", "z = (z1 + z2) / 2 + np.random.normal(0, 0.1, 1000)" ] }, { "cell_type": "code", "execution_count": 10, "id": "paperback-midwest", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Combined Noisy Sine Wave Signal')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the combined signal 'z' against the time array 't'.\n", "# The x-axis represents time, and the y-axis represents the values of the signal 'z',\n", "# which is the combination of two sine waves with different frequencies, plus noise.\n", "plt.plot(t, z)\n", "\n", "# Add labels to the axes for clarity\n", "plt.xlabel('Time') # Label for the x-axis indicating time values\n", "\n", "# Set the label for the y-axis as the signal values\n", "plt.ylabel('Signal Value') # Label for the y-axis indicating signal values\n", "\n", "# Set the title of the plot to provide context\n", "plt.title('Combined Noisy Sine Wave Signal')" ] }, { "cell_type": "markdown", "id": "moderate-great", "metadata": {}, "source": [ "Let's take a look at their power spectra." ] }, { "cell_type": "code", "execution_count": 11, "id": "considerable-reply", "metadata": {}, "outputs": [], "source": [ "# Compute the Fast Fourier Transform (FFT) of the first signal 'y'\n", "# The FFT converts the signal 'y' from the time domain to the frequency domain, \n", "# allowing us to analyze the frequency components of the signal.\n", "fft1 = np.fft.fft(y)\n", "\n", "# Compute the FFT of the second signal 'z'\n", "# Similarly, the FFT of 'z' provides the frequency domain representation of this signal.\n", "fft2 = np.fft.fft(z)\n", "\n", "# Compute the corresponding frequencies for each FFT component.\n", "# 'fftfreq' generates an array of frequency values associated with the FFT result.\n", "freq = np.fft.fftfreq(t.shape[-1])\n", "\n", "# Compute the power spectrum of the first signal by squaring the absolute value of the FFT components.\n", "# The power spectrum shows the strength of each frequency component in the signal.\n", "power1 = (np.abs(fft1))**2\n", "\n", "# Compute the power spectrum of the second signal 'z' in the same way.\n", "# This gives the power for each frequency component in the signal 'z'.\n", "power2 = (np.abs(fft2))**2" ] }, { "cell_type": "code", "execution_count": 12, "id": "incorporated-luther", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/38/z0l88jxs5cxc27_d0dp0r78c0000gn/T/ipykernel_38643/459042106.py:4: RuntimeWarning: divide by zero encountered in divide\n", " plt.plot(1/freq, power1, label='Signal y')\n", "/var/folders/38/z0l88jxs5cxc27_d0dp0r78c0000gn/T/ipykernel_38643/459042106.py:8: RuntimeWarning: divide by zero encountered in divide\n", " plt.plot(1/freq, power2, label='Signal z')\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the power spectrum of the first signal 'y' (power1) against the period (1/frequency).\n", "# The x-axis represents the period (inverse of frequency), and the y-axis represents the power.\n", "# The first line shows the power spectrum of 'y'.\n", "plt.plot(1/freq, power1, label='Signal y')\n", "\n", "# Plot the power spectrum of the second signal 'z' (power2) against the period (1/frequency).\n", "# The second line shows the power spectrum of 'z', also plotted against the period.\n", "plt.plot(1/freq, power2, label='Signal z')\n", "\n", "# Set the x-axis limits to focus on a specific frequency range (period between 0 and 200).\n", "# This helps zoom in on the relevant range for better visualization.\n", "plt.xlim(0, 200)\n", "\n", "# Add labels to the axes for clarity\n", "plt.xlabel('Period (1/Frequency)') # Label for the x-axis indicating periods (inverse of frequency)\n", "plt.ylabel('Power') # Label for the y-axis indicating power of each frequency component\n", "\n", "# Set the title of the plot to provide context\n", "plt.title('Power Spectrum Comparison of Signals')\n", "\n", "# Add a legend to differentiate between the two signals\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "continuous-alias", "metadata": {}, "source": [ "In this case, the power spectrum does not provide enough information to effectively distinguish between the two time series. We will now apply wavelet analysis to determine whether it offers better insight into the differences between the two signals." ] }, { "cell_type": "markdown", "id": "expressed-priest", "metadata": {}, "source": [ "## Wavelet analysis: Example" ] }, { "cell_type": "code", "execution_count": 13, "id": "literary-kingston", "metadata": {}, "outputs": [], "source": [ "import pycwt as wavelet" ] }, { "cell_type": "code", "execution_count": 14, "id": "necessary-honduras", "metadata": {}, "outputs": [], "source": [ "# The continuous wavelet transform (CWT) function requires several parameters to be defined.\n", "# These parameters control how the wavelet transform is computed. At this stage, you do not need to \n", "# fully understand each parameter, as the values provided are the default settings typically used for CWT.\n", "\n", "# Time step, dt, set to 1 (this is the sampling interval of the signal)\n", "dt = 1\n", "\n", "# dj: Frequency step, defines the scale resolution. It determines the spacing between the scales used in the wavelet transform.\n", "dj = 1/12\n", "\n", "# s0: The smallest scale to be used in the wavelet transform. It is typically defined as a multiple of dt.\n", "# Here, it's set to 2 times the value of dt, which is the default.\n", "s0 = 2*dt\n", "\n", "# mother: The wavelet mother function to be used in the transform. Here, the Morlet wavelet with a parameter of 6 is chosen.\n", "# The Morlet wavelet is commonly used for time-frequency analysis.\n", "mother = wavelet.Morlet(6)\n", "\n", "# J: The number of scales in the wavelet transform. This value is the total number of scales (in this case, 7),\n", "# divided by the frequency step dj. It determines the resolution of the wavelet transform in the scale domain.\n", "J = 7/dj\n", "\n", "# Compute the Continuous Wavelet Transform (CWT) for the first signal 'y'\n", "# The CWT returns the wavelet transform (wave1), the scales used (scales1), the corresponding frequencies (freqs1),\n", "# the cone of influence (coi1), the FFT of the signal (fft1), and the associated frequency components (fftfreqs1).\n", "wave1, scales1, freqs1, coi1, fft1, fftfreqs1 = wavelet.cwt(y, dt, dj, s0, J, mother)\n", "\n", "# Compute the Continuous Wavelet Transform (CWT) for the second signal 'z' in the same manner\n", "# This returns the wavelet transform (wave2), the scales (scales2), frequencies (freqs2), cone of influence (coi2),\n", "# FFT of the signal (fft2), and frequency components (fftfreqs2).\n", "wave2, scales2, freqs2, coi2, fft2, fftfreqs2 = wavelet.cwt(z, dt, dj, s0, J, mother)\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "literary-glance", "metadata": {}, "outputs": [], "source": [ "# Compute the power spectrum for the first wavelet transform 'wave1' by squaring its absolute value.\n", "# This will give the power for each scale, representing the strength of each frequency component in the wavelet domain.\n", "power1 = (np.abs(wave1)) ** 2\n", "\n", "# Compute the power spectrum for the second wavelet transform 'wave2' in the same manner.\n", "# This gives the power for each scale of the second signal, 'z'.\n", "power2 = (np.abs(wave2)) ** 2\n", "\n", "# Calculate the period (inverse of frequency) for the first signal using the frequencies 'freqs1' obtained from the CWT.\n", "# The period represents the time duration of each frequency component. The higher the frequency, the shorter the period.\n", "period1 = 1/freqs1\n", "\n", "# Calculate the period for the second signal using the frequencies 'freqs2' obtained from the CWT.\n", "# This represents the time duration of each frequency component in the second signal.\n", "period2 = 1/freqs2" ] }, { "cell_type": "code", "execution_count": 16, "id": "illegal-conjunction", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define the levels for the contour plot. These represent the logarithmic scale intervals \n", "# for which the contour levels will be drawn. The levels range from 0.0625 to 16.\n", "levels = [0.0625, 0.125, 0.25, 0.5, 1, 2, 4, 8, 16]\n", "\n", "# Create a figure and axis for the plot\n", "fig, ax = plt.subplots()\n", "\n", "# Generate a filled contour plot using plt.contourf()\n", "# The x-axis corresponds to the time array 't', and the y-axis represents the logarithm of the periods ('np.log2(period1)').\n", "# The color values are derived from the logarithm of the power spectrum 'power1', using the logarithmic levels defined above.\n", "im = ax.contourf(t, np.log2(period1), np.log2(power1), np.log2(levels),\n", " extend='both', cmap=plt.cm.viridis)\n", "\n", "# Create the y-axis ticks for the contour plot, which represent the periods in the original scale.\n", "# 'np.arange' generates a range of values, and 'np.ceil(np.log2(period1.min()))' ensures that the range covers the entire period span.\n", "Yticks = 2 ** np.arange(np.ceil(np.log2(period1.min())),\n", " np.ceil(np.log2(period1.max())))\n", "\n", "# Set the y-axis ticks using the log2 of the periods and set their labels as the original period values.\n", "ax.set_yticks(np.log2(Yticks), labels=Yticks)" ] }, { "cell_type": "code", "execution_count": 17, "id": "fossil-place", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a figure and axis for the plot\n", "fig, ax = plt.subplots()\n", "\n", "# Generate a filled contour plot using plt.contourf()\n", "# The x-axis corresponds to the time array 't', and the y-axis represents the logarithm of the periods ('np.log2(period2)').\n", "# The color values are derived from the logarithmic of the power spectrum 'power2', using the logarithmic levels defined above.\n", "im = ax.contourf(t, np.log2(period2), np.log2(power2), np.log2(levels),\n", " extend='both', cmap=plt.cm.viridis)\n", "\n", "# Create the y-axis ticks for the contour plot, which represent the periods in the original scale.\n", "# 'np.arange' generates a range of values, and 'np.ceil(np.log2(period2.min()))' ensures that the range covers the entire period span.\n", "Yticks = 2 ** np.arange(np.ceil(np.log2(period2.min())),\n", " np.ceil(np.log2(period2.max())))\n", "\n", "# Set the y-axis ticks to the logarithmic scale (for proper placement), \n", "# and set their labels to the original period values.\n", "ax.set_yticks(np.log2(Yticks), labels=Yticks)" ] }, { "cell_type": "markdown", "id": "elementary-palace", "metadata": {}, "source": [ "### **Question**: What do you observe?" ] }, { "cell_type": "markdown", "id": "christian-system", "metadata": {}, "source": [ "## What is the theory behind wavelet analysis?" ] }, { "cell_type": "markdown", "id": "appointed-portrait", "metadata": {}, "source": [ "The foundation of a wavelet transform lies in the concept of the **mother wavelet**, which is the base function used to generate the wavelets at different scales. There are various types of mother wavelets, each with its own properties and applications. \n", "\n", "In this course, we use the **Morlet wavelet**, which is defined as:\n", "\n", "$$\n", "\\psi(t) = \\pi^{1/4} \\exp(i\\omega t) \\exp\\left(-\\frac{t^2}{2}\\right)\n", "$$\n", "\n", "where $( \\omega = 6 )$ is the frequency parameter that controls the width of the wavelet.\n" ] }, { "cell_type": "markdown", "id": "robust-indicator", "metadata": {}, "source": [ "Let's see how the real and imaginary part of that function look like." ] }, { "cell_type": "code", "execution_count": 18, "id": "placed-resource", "metadata": {}, "outputs": [], "source": [ "def morlet_wavelet(t, omega=6):\n", " return (np.pi**(1/4) * np.exp(1j*omega*t) * np.exp(-t**2/2))" ] }, { "cell_type": "code", "execution_count": 19, "id": "0d6a71ac", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define time array\n", "t = np.linspace(-5, 5, 1000)\n", "\n", "# Define different omega values to see how the width of the Morlet wavelet changes\n", "omegas = [3, 6, 12]\n", "\n", "# Create a plot to visualize how the width of the wavelet changes with omega\n", "plt.figure(figsize=(10, 6))\n", "\n", "for omega in omegas:\n", " # Compute the wavelet for each omega\n", " wavelet = morlet_wavelet(t, omega)\n", " \n", " # Plot the real part of the Morlet wavelet\n", " plt.plot(t, np.real(wavelet), label=f'ω = {omega}')\n", "\n", "# Add labels and title\n", "plt.xlabel('Time')\n", "plt.ylabel('Amplitude')\n", "plt.title('Effect of ω on the Morlet Wavelet Width')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 20, "id": "incomplete-scholar", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Morlet Wavelet: Real and Imaginary Parts')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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rccnJyfj1118hiqKbICovL4fNZlO8MTKniiZvpKSkYMSIEV7vnZWVxXUdT/zpT3+CVqtVxNCYMWMQExMDgHmmRo0ahfXr16O6uho6nU4RSj/++CNOnjyJDRs2KH/1AvBYsq7VanHDDTfglVdeQW1tLf7zn//AbDbj5ptvdvsZAeDVV19VjJ6n4k1QBHNuMERERGDcuHEAgNNOOw3Tp0/H0KFDMX/+fFxwwQWIiYlBSkoKBEHApk2blA9OV+R9e/fuxa5du7BixQrMnj1bed6T8ZyXDz74ADfeeCOefvppt/2VlZVISEhQfT35w9S1+lCmtLSUO2IRSnh/D+W1u3q0ZDz9POFej4yv94C7774bV155Jf744w+89tprGDBgAM455xzutYwcObLVe47MBx98gNzcXHzyySduazi10INnnZ5ISUnB0qVLsXTpUhQWFuLrr7/GQw89hPLycsVrRIQWEkNE2OnRowf+9re/4eDBg24fVKdy1llnYeXKlfjyyy9x6aWXKvtlQ+JZZ50V0P0vuOACrF69Gn379vUZqj71r1Qe4uPjMXr0aEUMzZo1y+35qVOnYv369aipqcH48eMVoSS/OZ76Ae/tL9ebb74Zzz//PD766COsWLECkyZNwqBBg5Tnp0yZgoSEBOzfv191nx415wbyGvEim5VvvvlmvPrqq3j44YdxwQUX4Nlnn0VxcXGrFI0ral9PHgRBaHW9VatWobi4GP369VN9vYkTJyIiIgIffvihW2pny5YtKCgoaBcxxPu6DRw4EBkZGVi5ciUWLFig7C8sLMSWLVuC+oMikPXwcOmll6Jnz5647777sHHjRixZskS1KPG1ToPB4Ha90tJSj9Vk3uD9v9SzZ0/ceeed+OGHH7B58+bAFkz4hcQQ0SY8++yzfo+58cYb8frrr2P27NnIz8/H8OHD8fPPP+Ppp5/GrFmzcPbZZwd078cffxzr1q3D5MmTcffdd2PgwIEwmUzIz8/H6tWr8eabbyI7OxuxsbHo1asXvvrqK5x11llISkpCSkqK3w+p6dOn44UXXoAgCHjuuefcnps6dSqWLFkCURTdvCKTJ09GYmIibr/9djz22GPQ6/X48MMPsWvXLo/3GDRoECZNmoRnnnkGRUVFeOutt9yej4mJwauvvorZs2ejuroaV1xxBdLS0lBRUYFdu3ahoqICb7zxhsdrqzl3+PDhAIB//vOfmD17NvR6PQYOHIjY2Fi8//77uOWWW/DOO+9w+4ZO5cYbb8TLL7+MF198EX/9618xZcoU/OUvf8HNN9+M7du3409/+hOio6NRUlKCn3/+GcOHD8cdd9yBQYMGoW/fvnjooYcgiiKSkpLwzTffYN26dQGtA2AiesWKFRg0aBBGjBiB33//HS+88ELA/XMSExNx//3348knn8ScOXNw5ZVXoqioCIsWLWq31Afv76FGo1Eqta644grccsstqK2txeLFi5GZmenmV2qL9fCg1Wrx17/+FQ8++CCio6N9tslQywUXXIDPP/8c8+bNwxVXXIGioiI88cQTyMzMxJEjR7iu4e39JjExEdOnT8e1116LQYMGITY2Ftu2bcOaNWs8VtUSIaJd7dtEl8S1mswXp1aTiaIoVlVVibfffruYmZkp6nQ6sVevXuLDDz8smkwmt+MAiH/96189XhceKjQqKirEu+++W8zNzRX1er2YlJQkjh07VnzkkUfExsZG5bjvv/9eHD16tGg0GkUA4uzZs/3+vHJll1arbVWlU11dLWo0GhGAuG7dOrfntmzZIk6aNEmMiooSU1NTxTlz5oh//PGHCEB89913W93nrbfeEgGIkZGRXquBNm7cKJ5//vliUlKSqNfrxR49eojnn3+++OmnnyrHeKum4jlXFEXx4YcfFrOyspSfa/369W7X9bT2U5GryTyxatUqEYC4ePFiZd8777wjTpgwQYyOjhYjIyPFvn37ijfeeKO4fft25Zj9+/eL55xzjhgbGysmJiaKV155pVhYWOi1sslfVVFNTY146623imlpaWJUVJR4+umni5s2bRKnTp3q9nsrV5Od+jrJlV6ur4fD4RCfeeYZMScnRzQYDOKIESPEb775ptU1veGtmuyFF15wO87bmjz931Tze/jWW2+J/fr1Ew0GgzhgwADxnXfeES+++GKPFVSeXvNT3xPkdcq/Q2rWM3v2bDE6Otrn65Wfny8CEG+//Xafx7kiV5NVVFT4PO7ZZ58Ve/fuLRqNRnHw4MHismXLlHNd8fVe5en9xmQyibfffrs4YsQIMS4uToyMjBQHDhwoPvbYY2JTUxP3z0GoQxDFEPUWJwiCILoVtbW1GDBgAC655JJW0cqOwKuvvoq7774be/fuxdChQ9t7OUQHhtJkBEEQhF9KS0vx1FNPYfr06UhOTkZBQQGWLFmChoYG3HPPPe29PDd27NiBvLw8PP7447j44otJCBF+ITFEEARB+MVoNCI/Px/z5s1DdXU1oqKiMHHiRLz55psdTmxceumlKC0txRlnnIE333yzvZdDdAIoTUYQBEEQRLeGOlATBEEQBNGtITFEEARBEES3hsQQQRAEQRDdGjJQ+8HhcODkyZOIjY0NWfdSgiAIgiDCiyiKaGhoQFZWlt/GoCSG/HDy5Enk5OS09zIIgiAIggiAoqIiv53jSQz5ITY2FgB7MT1NRyYIgiAIouNRX1+PnJwc5XPcFySG/CCnxuLi4kgMEQRBEEQng8fiQgZqgiAIgiC6NSSGCIIgCILo1pAYIgiCIAiiW0OeIYIgCCKsOBwOWCyW9l4G0cXQ6/XQarUhuRaJIYIgCCJsWCwW5OXlweFwtPdSiC5IQkICMjIygu4DSGKIIAiCCAuiKKKkpARarRY5OTl+G98RBC+iKKK5uRnl5eUAgMzMzKCuR2KIIAiCCAs2mw3Nzc3IyspCVFRUey+H6GJERkYCAMrLy5GWlhZUyoxkOkEQBBEW7HY7AMBgMLTzSoiuiiyyrVZrUNchMUQQBEGEFZrrSISLUP1ukRgiCIIgCKJbQ2KIIAiCINqBRYsWYdSoUe29DAIkhgiCIAjCjZtuugmCIEAQBOh0OvTs2RN33HEHampq2ntpIUUQBHz55ZftvYwOAYkhgiC6LQ0mK+pagjNeEl2Tc889FyUlJcjPz8fy5cvxzTffYN68ee29rJBADTBbQ2KIIIhuyZ4TdRj/1A847cnv8evxqvZeDtHBMBqNyMjIQHZ2NmbMmIGrr74aa9eudTvm3XffxeDBgxEREYFBgwbhX//6l9vzDz74IAYMGICoqCj06dMHCxcuVFX1tGHDBgiCgFWrVmHkyJGIiIjAhAkTsGfPHuWYqqoqXHPNNcjOzkZUVBSGDx+Ojz76yO0606ZNw5133okFCxYgJSUF55xzDnr37g0AuPTSSyEIgvJ9d4X6DBEE0S15ds0BtFhZ6ffTqw/gqztPb+cVdX1EUVRe87YmUq8NuPLo+PHjWLNmDfR6vbJv2bJleOyxx/Daa69h9OjR2LFjB+bOnYvo6GjMnj0bABAbG4sVK1YgKysLe/bswdy5cxEbG4sHHnhA1f3/9re/4Z///CcyMjLw97//HRdddBEOHz4MvV4Pk8mEsWPH4sEHH0RcXBxWrVqFG264AX369MGECROUa7z33nu44447sHnzZoiiiOTkZKSlpeHdd9/FueeeG7KxFp0VEkMEQXQ7KhrM2HLMGQ3adaIOBVVN6JUc3Y6r6vq0WO0Y8uh37XLv/Y/PRJSB/yPv22+/RUxMDOx2O0wmEwDg5ZdfVp5/4okn8NJLL+Gyyy4DAOTm5mL//v3497//rYihf/zjH8rxvXv3xn333YdPPvlEtRh67LHHcM455wBgoiY7OxtffPEFrrrqKvTo0QP333+/cuxdd92FNWvW4NNPP3UTQ/369cPzzz/f6tryOIvuDokhgiC6HTsKayCKwMD0WMRH6fFbXjW2HqsiMUQoTJ8+HW+88Qaam5uxfPlyHD58GHfddRcAoKKiAkVFRbj11lsxd+5c5RybzYb4+Hjl+//+979YunQpjh49isbGRthsNsTFxaley6RJk5THSUlJGDhwIA4cOACANbZ89tln8cknn6C4uBhmsxlmsxnR0e6/y+PGjVN93+4EiSGCILode4rrAAAjsuORHheB3/Kqsb2gBn8e37OdV9a1idRrsf/xme12bzVER0ejX79+AIBXXnkF06dPx+LFi/HEE08oQ2eXLVvmFn0BoKSbfvnlF/z5z3/G4sWLMXPmTMTHx+Pjjz/GSy+9FIKfxtls8KWXXsKSJUuwdOlSDB8+HNHR0Zg/f34rk/Sp4ohwh8QQQRDdjl0nJDGUk4CUaDYq4khZg++TKg4Duz4CRlwFpA0O9xK7JIIgqEpVdSQee+wxnHfeebjjjjuQlZWFHj164Pjx47juuus8Hr9582b06tULjzzyiLKvoKAgoHv/8ssv6NmTCfWamhocPnwYgwYNAgBs2rQJF198Ma6//noAgMPhwJEjRzB4sP/fUb1er4xM6e50zt9KgiCIABFFEXtO1AIARvSIR5SB/SV/rKIJoih6NtmaG4AVs4CmCuD3d4G7dwKRCW22ZqL9mTZtGoYOHYqnn34ar732GhYtWoS7774bcXFxOO+882A2m7F9+3bU1NRgwYIF6NevHwoLC/Hxxx/jtNNOw6pVq/DFF18EdO/HH38cycnJSE9PxyOPPIKUlBRccsklAJgX6LPPPsOWLVuQmJiIl19+GaWlpVxiqHfv3vjhhx8wZcoUGI1GJCYmBrS+rgCV1hME0a2oaDSjptkKjQAMyoxFr+RoaDUCGs02lNabPJ+062MmhACgpQbY8UHbLZjoMCxYsADLli1DUVER5syZg+XLl2PFihUYPnw4pk6dihUrViA3NxcAcPHFF+Pee+/FnXfeiVGjRmHLli1YuHBhQPd99tlncc8992Ds2LEoKSnB119/rQy/XbhwIcaMGYOZM2di2rRpyMjIUISSP1566SWsW7cOOTk5GD16dEBr6yoIoiiK7b2Ijkx9fT3i4+NRV1cXkPGNIIiOxe8F1bj8ja3okRCJzQ+dCQA486UNOF7RhPdvGY8/DUhtfdL/XQYc+wGIzwHqioDeZwA3fdvGK+98mEwm5OXlITc3FxEREe29nE7Hhg0bMH36dNTU1CAhIaG9l9Mh8fU7pubzmyJDBEF0KwqrmwEAPZOilH39UmMAAEfLG1uf4HAARb+xx+c+I13kF8BmDus6CYJoO0gMEQTRrSisagHgLob6pjExlF/V1PqE2nzA0gBojcCAc4GoZMBhBUr3tsVyCYJoA0gMEQTRrVAiQ8lOMZSVEAkAOFnrwTNUKo0+SB8CaPVAluStKNkZzmUSBKZNmwZRFClF1gaQGCIIoltRJImh7MRIZV9WPPMalNS1tD5BEUPD2DaVlTSj6ljY1kgQRNtCYoggiG6FJ89QZjwTRiV1PiJDGSPYNrkv21YdCdsaCYJoW0gMEQTRbbDZHShrYIKnR4JLZCiBRYaqmywwnTpItPo426YOYNtk1pUYVUfDulaCINoOEkMEQXQbqposEEVAIwDJMUZlf3ykXhnX4BYdEkWgtpA9TujFtsn92bamALC5jzwgCKJzQmKIIIhuQ3k9K4dPiTFCq3F2mhYEAZmyb6jWxTfUVAHYTICgAeJ6sH2xGYAhBhDtQE1+Wy2dIIgwQmKIIIhuQ5nUYTo9rnUDwMwE2UTtEhmSo0KxmYCOdfyFIABJfdhjOYVGEESnhsQQQRDdhvIGFhlKizW2ek42UbuN5KiVBmsmnDLNPj6HbeuLQ75GgnBl2rRpmD9/fnsvo8tDYoggiG5DuWSeTotrLYZSJA9RZaNLZ2nFL3SKGIrLYtv6kyFfI9H+3HTTTdzzvcLN559/jieeeKK9l9Eu9O7dG0uXLm2Te9HUeoIgug1lkmcoNbZ1miwlhqXBKhtdTNG1RWzrVQxRZIgIL0lJSWG/h9VqhV6vD/t9eLFYLMog2raCIkMEQXQbKhpkz5D3yFCVa2RIFjvx2e4Hy2ZqEkPdgmnTpuGuu+7C/PnzkZiYiPT0dLz11ltoamrCzTffjNjYWPTt2xf/+9//lHPsdjtuvfVW5ObmIjIyEgMHDsQ///lPt+vabDbcfffdSEhIQHJyMh588EHMnj3bLSp1apqsd+/eePrpp3HLLbcgNjYWPXv2xFtvveV23QcffBADBgxAVFQU+vTpg4ULF8JqtSrPL1q0CKNGjcI777yDPn36wGg04r333kNycjLMZveZe5dffjluvPFGj69Lfn4+BEHAxx9/jMmTJyMiIgJDhw7Fhg0bVL0OciTumWeeQVZWFgYMGIBp06ahoKAA9957LwRBgCAICCckhgiC6DY4PUOtI0PJSmTI5cOgoZRtYzLcD46XxRClyVQhioClqX2+RDGopb/33ntISUnBb7/9hrvuugt33HEHrrzySkyePBl//PEHZs6ciRtuuAHNzaypp8PhQHZ2NlauXIn9+/fj0Ucfxd///nesXLlSueZzzz2HDz/8EO+++y42b96M+vp6fPnll37X8tJLL2HcuHHYsWMH5s2bhzvuuAMHDx5Uno+NjcWKFSuwf/9+/POf/8SyZcuwZMkSt2scPXoUK1euxGeffYadO3fiqquugt1ux9dff60cU1lZiW+//RY333yzz/X87W9/w3333YcdO3Zg8uTJuOiii1BVVcX9OgDADz/8gAMHDmDdunX49ttv8fnnnyM7OxuPP/44SkpKUFJS4vd1CQZKkxEE0W2obJDTZL4iQy5pssZyto1Jcz/Y1TMkiqzCjPCPtRl4Oqt97v33k4AhOuDTR44ciX/84x8AgIcffhjPPvssUlJSMHfuXADAo48+ijfeeAO7d+/GxIkTodfrsXjxYuX83NxcbNmyBStXrsRVV10FAHj11Vfx8MMP49JLLwUAvPbaa1i9erXftcyaNQvz5s0DwKJAS5YswYYNGzBoEBsVI68TYJGk++67D5988gkeeOABZb/FYsH//d//ITU1Vdl37bXX4t1338WVV14JAPjwww+RnZ2NadOm+VzPnXfeicsvvxwA8MYbb2DNmjV4++238cADD3C9DgAQHR2N5cuXu6XHtFotYmNjkZFxyh8jYYDEEEEQ3QJRFFHVxIROcnRrP4IshqqbLbDZHdAJAJpkMZTufnCs9IFubQZMtUBkYphWTXQURowYoTzWarVITk7G8OHDlX3p6ex3pLy8XNn35ptvYvny5SgoKEBLSwssFgtGjRoFAKirq0NZWRnGjx/vdt2xY8fC4XBwr0UQBGRkZLjd97///S+WLl2Ko0ePorGxETabDXFxcW7X6NWrl5sQAoC5c+fitNNOQ3FxMXr06IF3330XN910k98U1aRJk5THOp0O48aNw4EDB7heB5nhw4e3uU/IFRJDBEF0C1qsdpht7EMm0YMYSozSQxBYoKe62YI0TRPgsLEnT40M6SOAqGSguYpFh0gM8aGPYhGa9rp3MKefYjAWBMFtnywYZCGzcuVK3HvvvXjppZcwadIkxMbG4oUXXsCvv/7a6jquiBzpPE9rke/7yy+/4M9//jMWL16MmTNnIj4+Hh9//DFeeuklt3Oio1tHyUaPHo2RI0fi/fffx8yZM7Fnzx588803ftfjCfnn4n0dPK2nLSExRBBEt0BOfxl0GkQbtK2e12k1SIoyoKrJgqpGC9I0kl8oKhnQeqi0iUlnYqixHEgfGs6ldx0EIahUVWdi06ZNmDx5spLOAoBjx44pj+Pj45Geno7ffvsNZ5xxBgBmNt6xY0erqIkaNm/ejF69euGRRx5R9hUUFHCfP2fOHCxZsgTFxcU4++yzkZOT4/ecX375BX/6058AMFP477//jjvvvBOA/9fBFwaDAXa73f+BIYAM1ARBdAtqmpkYSooyeA37u5moG8vYzlNTZDLRKWzbVBHSdRJdg379+mH79u347rvvcPjwYSxcuBDbtm1zO+auu+7CM888g6+++gqHDh3CPffcg5qamqAqp/r164fCwkJ8/PHHOHbsGF555RV88cUX3Odfd911KC4uxrJly3DLLbdwnfP666/jiy++wMGDB/HXv/4VNTU1yrk8r4M3evfujZ9++gnFxcWorKzk/hkCgcQQQRDdAtkvlOQhRSbjZqJu9OIXkomWUmckhggP3H777bjssstw9dVXY8KECaiqqnKLjgDM/HzNNdfgxhtvxKRJkxATE4OZM2ciIqJ1tSMvF198Me69917ceeedGDVqFLZs2YKFCxdynx8XF4fLL78cMTEx3I0nn332WTz33HMYOXIkNm3ahK+++gopKeyPBZ7XwRuPP/448vPz0bdv31b+plAjiDwJym5MfX094uPjUVdX18qARhBE5+HzP05gwcpdOL1fCj6YM8HjMX/98A+s2lOCxy4cgpvFr4DvHwNG/Bm47N+tD/7fQ8CvbwBT5gPnLG79PAGTyYS8vDzk5uYG9QHfXXA4HBg8eDCuuuqqdu06fc4552Dw4MF45ZVXfB6Xn5+P3NzcoFN7weDrd0zN5zd5hgiC6BZUc0SGEqKYN6im2QrYvZTVy8RIf6lSZIgIkIKCAqxduxZTp06F2WzGa6+9hry8PFx77bXtsp7q6mqsXbsWP/74I1577bV2WUN7QWKIIIhuAY8YSoxiz9U2WwA7axqneINOJZrEEBEcGo0GK1aswP333w9RFDFs2DB8//33GDx4cLusZ8yYMaipqcFzzz2HgQMHtssa2gsSQwRBdAsUAzVHZKi22eoUQ1HJng+WPUON5Z6fJwg/5OTkYPPmze29DIX8/HxVx/fu3ZurFUBngMQQQRDdArm03lOPIZkEKTJU4xoZ8iqG5MhQeKtcCIIIPySGCILoFsiRocQo79O5E10jQ45qttObGFI8Q+U0ksMPXSV6QHQ8QvW7RaX1BEF0C+pa2NTuhEjOyFCzJIYikzwfLEeG7BbAVBeydXYltFrW3NJisfg5kiACQx6Me2pXbrVQZIggiG5BfQsbrREf6T8y1NTcAgj1bGeUFzGkjwT00YC1CWipBiITQrncLoFOp0NUVBQqKiqg1+uh0dDf30RoEEURzc3NKC8vR0JCgiK8A4XEEEEQ3QI5MuRbDLHIkM5cA0QAEDRARIL3i0YmMjHUXAN40UzdGUEQkJmZiby8PFUjIQiCl4SEhJBMtScxRBBEl8dic6DFymYc+RJDcZFsWGsiGtmOyETAVzQjKhGoPwG01IRyuV0Kg8GA/v37U6qMCDl6vT7oiJBMpxJDP/30E1544QX8/vvvKCkpwRdffOG3XfjGjRuxYMEC7Nu3D1lZWXjggQdw++23t82CCYLoEMhRIUEAYiO8v+1pNQLiIvRIMjewHd7M0zLytHoSQz7RaDTUgZro0HSqBG5TUxNGjhzJ3RkzLy8Ps2bNwhlnnIEdO3bg73//O+6++2589tlnYV4pQRAdCVkMxRp10Gh8V30lRumRCF4xJOXGWqqDXSJBEO1Ip4oMnXfeeTjvvPO4j3/zzTfRs2dPLF26FAAwePBgbN++HS+++CIuv/zyMK2SIIiOhiyG4nykyGTiI/VIqqXIEEF0JzpVZEgtW7duxYwZM9z2zZw5E9u3b4fVavV4jtlsRn19vdsXQRCdm3oO87RMXKQeCYpnKMH3wbIYaqbIEEF0Zrq0GCotLUV6errbvvT0dNhsNlRWeu4a+8wzzyA+Pl75ysnJaYulEgQRRupNKsRQhB5xQhP7xlclGeAsu6fIEEF0arq0GAJYaacrcrfKU/fLPPzww6irq1O+ioqKwr5GguhWbH8HeHUcsOG5NrslT1m9TFykDvGQxBBvZIg8QwTRqelUniG1ZGRkoLS01G1feXk5dDodkpM9ewGMRiOMRmNbLI8guh8ndwLfLgAgAhueBjKGAYPOD/tt65r5xVBshB5xAutq6zcyFEmRIYLoCnTpyNCkSZOwbt06t31r167FuHHjgm7dTRBEAPy2DIDLLKFf/90mt1UVGYrQIQ6caTLyDBFEl6BTiaHGxkbs3LkTO3fuBMBK53fu3InCwkIALMV14403KsfffvvtKCgowIIFC3DgwAG88847ePvtt3H//fe3x/IJonvjcAAHv2WPL3mDbfN/Blpqw35rNdVkcZF6xCueoXjfB5NniCC6BJ1KDG3fvh2jR4/G6NGjAQALFizA6NGj8eijjwIASkpKFGEEALm5uVi9ejU2bNiAUaNG4YknnsArr7xCZfUE0R6U7wdMtYAhBhh+FZDcHxDtTBCFGVViKEKPOMhpMj9iSI4MmeoAhz2YJRIE0Y50Ks/QtGnTFAO0J1asWNFq39SpU/HHH3+EcVUEQXBRuJVts08DtDqg50Sg6ghwcgcw+IKw3lpVNVmkzukZ4jVQQ2SCyNtQV4IgOjSdKjJEEEQnpmAL2/aazLaZI9m2dHfYb13HMbFeJtaodfEM+YkMafWAIZY9plQZQXRaSAwRBNE2nJQitDnj2TZjBNuW7gn7rdU0XUzQWqAVpAi0PwM1wIa1AmSiJohODIkhgiDCj6UZqClgj9OGsm36UAAC0FACNFaE9fZqqsniBdZ92izqIeo42mzQSA6C6PSQGCIIIvxUHQEgsr480SlsnzEGSO7LHpftDdutbXYHGs0q0mQi8wvVIwotVg5TNA1rJYhOD4khgiDCT/lBtk0dBLh2f0+SxFBNXthuXW+yKY/jIvzXjETY2ZDWOjEaDS7neoV6DRFEp4fEEEEQ4adCEkNpg9z3J+WybXX4xFCDVEkWZdBCp/X/lieY6gCwyJDsNfKJbLI201BnguisdKrSeoIgOimVh9k2ZaD7/sTebFuTH7Zby9GdWI6oEABWIg8WGRJNKsSQdB5BEJ0PEkMEQYQfOfIje4RkEqXIUBjTZE2SXyjGqE4M1SMaaOFIkyliiCJDBNFZITFEEER4EUWgVqokS+jl/pySJstnx7n6iUKEbJ6OieCcR2iqBQDUi1EAV2Qozu08giA6H+QZIggivDRXAxZWro6Enu7Pyd9bGoDmqrDcXhZDsSojQ3WIdjNfe0XuRUSeIYLotJAYIggivNTms21MBqCPcH9OH8n2A0BdUVhuL3uGuNNk0uDYepHTQG2UI0PkGSKIzgqJIYIgwovcbDGxl+fn4zLZtv5kWG7vTJOp9wzVk4GaILoFJIYIgggvsl9Irhw7ldgstg2XGFIbGXKpJuMrrZcjQ5QmI4jOChmoCYIIL3Jk6FS/kIwcGWooCcvtFc+Q6shQFHRmjg7UrpGhMJnACYIILxQZIggivMgiJ66H5+dj5TRZeMSQas+QmXWgbhQj0agmTSbaAWtzIEskCKKdITFEEER4kdNfcVmen5dFUkO4PENM0HB7hqSqsEZEooknMqSPAgQte0y+IYLolJAYIggivMiRITkCdCpx4Y0MNappuiiK7pEhM0dpvSCQiZogOjkkhgiCCB82C9BUwR57E0OygTpcniE1aTKbiaW7wCJDXGIIIBM1QXRySAwRBBE+GsvYVqMHopI9HyNHhsz1gLkx5EtoUBMZkqJCIgQ0w6iM8vALRYYIolNDYoggiPDhmiLTeHm7McYy3w3gjCKFECUyxOMZksWQIRoiNIqQ8ovceJG6UBNEp4TEEEEQQWF3iFi5vQjvb82HyXqK4VgxT3tJkclEp7BtOMSQMo6DYzaZJIZgiAUAWGwOWGwO/+cpkaHaAFaoDovNgf/8Woj//FoIq51jbQRB+IX6DBEEERRPrz6At39mU+d/OlyJZTeOhSD32mkoZdvYDN8XiU4FagtDLobsDhHNFibQ1ESGBGOssqvJbINBZ/B9XhumyR78bDe+2FEMANhVVIvnrhgR9nsSRFeHIkMEQQRMUXUz3t2cp3z//YEybC+ocR4gl8vHeimrl4lOY9sQiyFXA3S0Uev/BGmgrBARC6NO0+oaXlHEUHjTZPtP1itCCAA+2V6Eg6WUmiOIYCExRBBEwHy7uwQOEZjUJxlXj8sBAKzc5jJwVS6X502TNYZHDBl0Ghh1HGJITpMZYxXDdZNFjRgKb2Tosz9OAADOH56J84axaNsn28Iz4JYguhMkhgiCCJhVe1jk58KRWbh4FIv+/HiwHHaHyA7w12NIJjqVbUMdGTLJfiF1DRdhiFHSavI1fNJGBupNR9jrc/6ITFw2JhsAe70JgggO8gwRBBEQJXUt2FtcD40AnDssA7EROkQZtKhqsuBYRSMGpMe2vxhS3X1aKu03xiHaIIkhVWmy8EWGyutNOFzWCEFgkTi9TgOtRkBBVTOKqpuRkxQVtnsTRFeHIkMEQQTE75I3aHBmHJKiDdBrNRjeg4mCnYW17CDFQO1HDMWExzMU6FwyGGOdkSEuMSQ3XQyfGNp8rBIAMCwrHonRBsQYdRidkwAA2HSkMmz3JYjuAIkhgiAC4o+CWgDA2F6Jyr5RPRMAADuKagBLk2JIVsSON8JUWq9qFAfgIoZinJ4hHjGkpMka1C6Rm11FTGid1jtJ2TelH3vdfsurCtt9CaI7QGKIIIiA+L2QRYbG9HSKITlSsaOwFmiSohVaI2us6As5TdYYWv+L4hniTZPJ4s3FQN3A5RmSfr4wiiG5amxIVpyyb2QOi8TtO0kVZQQRDCSGCIJQjcXmwP6TLFLhKoZGZCcAAI6UN8JaLwmb6FQ2zNQXUVJkqKUGcHBMiudEfWTIaaCOViJDHOsJc2RIFEUcLGXXHpThFJbDspgYOlbRiBZL6F43guhukBgiCEI1xysbYbWLiDXqkJMUqezPjI9AtEELu0NERRkrA1dSYL6IlAWVGFLfTYOaURyAm4E6RupLxFVa7xoZEkW1y/RLWb0Ztc1WaDUC+qXFKPvT4iKQGmuEQwQOUL8hgggYEkMEQajmkBSlGJAR6+w2DUAQBPSVPqyryqTmgHIKzBc6A2CQPuRbanwfqwJnZIhjFAdwSp8hdg5fmkwWKCLzSoUYWej0SYlGhN69X9IwKW22r5iGxBJEoJAYIghCNYfLJDGU3toL1DeVCYPGaqmsnkcMAUCkZAwOpRhS6xlyMVDLHau5DNT6KEDQuF8jhBwrZxGr/ukxrZ4blMnE0OGyxpDflyC6CySGCIJQjRwZGujhw7lvajQAwFxXxnbwpMkAIDKBbZurg12egmrPkIuBOlZNab0ghNVEXVjdDADolRzd6rl+kvg8VkFiiCAChcQQQRCqkaMQAzK8R4aUajLeyFCUHBkKnRhqCLS03hCrGKi5xBDgNFFbQi+GCqokMeShsaKcliQxRBCBQ2KIIAhVWGwOnKhhH86K8HGhdwqLXhjNUu+bdk2TqehALYoeZ5NxjeMAnJ6nMEaGeia3FkN9pEhcWb0ZDdLPSxCEOkgMEQShiuLaFjhEIEKvQVqssdXzPRJZdVm8QzL0coshqaIsDGkyrtlkliYAUiWY2kGt0jkAQi6G7A5REZ+e0mRxEXrl3+FYRejN2wTRHSAxRBCEKvKr2Adur6Rot0oymbgIPeIidEgWZDHE6RkKQ5pM7hHEFRmSRYygAfSRyjlcBmogbGLoZG0LrHYRBq0GGXERHo+RI3Sy0ZogCHWQGCIIQhWFsn/FQ8pGJjshAkmQREE7psnktFGUQYUYMsYCgqAMauUqrZfPc71OiCiSUmTZSZHQajw3r5T/LeR0GkEQ6iAxRBCEKgo4xFD/eDv0gtQRWW1kKERpMlEU0Sx1ZeYyUMvGZ8kILZ9jtjlgtTv8nx8mMVRSZwIA9EiI9HqMPLG+qIbEEEEEAokhgiBUUSClyXp68K/I9I9uAQCYtDGArrWvyCOyZyhEaTKL3QGbg3mAooxaP0fDpZKMpZyiXQQU37DW8Iih0nomhtK9pMgAIFvyaZ2obgnpvQmiu0BiiCAIVRRIqZjePiJDvSPYMXWaBP4LhzhN1uwyUyxKzyOGnD2GAMCg08CgY2+RXOX14RJDUmTIm18IAHpSZIgggoLEEEEQ3DgcorMBYJL3yFAPAxMW1YjzekwrlDRZaMSQXAVm1Gmg03K81bl0n5aJVdNrKMyRoYx472JITpOV1ptgttHAVoJQC4khgiC4Ka03wWJzQKcRkJXg/cM5RWCCoNzeuimjV+Q0maUBsFmCWSYAqPMLAe4Gagnn5PqOHRlKjjYgUq+FKAIna00hvT9BdAdIDBEEwY0cFeqRGOkz2pLgqAUAnLTGwOHgnOIeEQ9AqpYy1Qa+SAlZwHD5hQAXA7VTDMlCim9Yq3SeJbTl7TyRIUEQkJPEfENFVFFGEKohMUQQBDcldcyg66uyCQCibCzVVS7GobqZM8qj0YZ0PpkcGYrmKasH3EZxyCiNF80cqSf5PHM99xr9YbU7UNloBuDbQA0AOYnkGyKIQCExRBAEN3IKJjPetxjSNrO5ZFViHMrqVaRtQlhRpkSGDJyRIY9pMhWT68OQJitvMEMUAb1WQHK0weexSnn9qRVlBVuAH54ACn8N2boIoqtBYoggCG7kyJAvvxAAZUhrtRiH8noz/w1CWFGmRIa4PUNyNZnTQB0ToQfgHPjqkzCIIdkvlBYbAY2Xhosycnm9W2To8Frg3VnApheBd88Djv0YsrURRFeCxBBBENyUcEaG5MhONWLVRYYi4tnWVBfI8tyQq8m4I0Oy18fgrJKLls5t4ZlPpoih0HmGyjj8QjLZUpqsuEaKDDkcwJoHAYisd5JoB75dADio2owgToXEEEEQ3JyUIhWZ/iJDkuenVoxBmZrIUAjFkNxniNszZJGGnBqckSF5jEeThUNAyGLI1gLYQzM9voSjkkwmUxJMivjM/wmoPs68THfvACISgJo8ig4RhAdIDBEEwY2SJvMVGRJFJTJUI8airKGdI0O81WRWKb3kGhmSzm1WkyYDQpYqUxMZksVQeYMZNrsD2PEBe2LEVUBMGjDqWvb97ytCsjaC6EqQGCIIgosWix21zSzi4TMyZG4AHEw81CAG5QGlyYKvyFJdTaZEhpxiSFVkSKsHdNLrEiIxVK6M4vA/0iQ5xgidRoDdIaKyweSMAA2/km1HX8+2R9YBFqo4IwhXSAwRBMHFSSkqFGPUIU4yFntEigrZNUaYYERVk4oGiqGMDCnVZLxiSPYMOdNkSmSIxzMEhNxELb92KTH+xZBWIyjl97V5O4DmKkAfDfQYyw5IGwLE5wB2M1CwOSTrI4iuQqcTQ//617+Qm5uLiIgIjB07Fps2bfJ67IYNGyAIQquvgwcPtuGKCaJr4DRP8/mF7BGsTL6qMRAxVKt2ea2XoVST8RqopciQ3jlzTYkM8fQZAkLeeLFSeu2S/JTVy8gRJDHvJ7aj12RAJ50rCEC/s9jjo9+HZH0E0VXoVGLok08+wfz58/HII49gx44dOOOMM3DeeeehsLDQ53mHDh1CSUmJ8tW/f/82WjFBdB3kyFCmn4aLcmRIlMrkqxrbx0DdqDoy1DpNJleTcUeG5KhSqCJD0mvHExkCnFV+kSXb2I7ep7sf0FcSQ8c3hmR9BNFV6FRi6OWXX8att96KOXPmYPDgwVi6dClycnLwxhtv+DwvLS0NGRkZypdWy/mXIkEQCnJkKMtvZIj1CNJGMzHUZLHDZOWMrISymkwSMFyRIYfDxUDtUk2mpgM1ABilwbQh6EItiiKqpTRZcgxfZEg2WsfXH2A7ska7H9BzIttWHAzJa0wQXYVOI4YsFgt+//13zJgxw23/jBkzsGXLFp/njh49GpmZmTjrrLOwfv36cC6TILosciUZb48hbUwyDNL8Mm7fUEg9Q0zAcEWGrC6G4mAiQyH0DNW32GCT5rrxpsky4yMQhyYkmk+yHRnD3Q+ISQMSegEQgRPbg14jQXQVOo0YqqyshN1uR3p6utv+9PR0lJaWejwnMzMTb731Fj777DN8/vnnGDhwIM466yz89NNPXu9jNptRX1/v9kUQhPoeQ0JkkhLR4E6VhSMyxNN0UU6RQQD0TrGnqpoMCKkYqmxir1lshA5GHV80OyM+AkM0Beyb+J5AVFLrg3LGsy2JIYJQ4EymdxwEwb0lvSiKrfbJDBw4EAMHDlS+nzRpEoqKivDiiy/iT3/6k8dznnnmGSxevDh0CyaILkJJLUePIcA5VyyKiaGSOhO/iVoWQ+Z6lrrSBP73mhIZ4hnH4dp92uX9RFWfISCkXajl14zXLwSw5oxDBEkMZY7wfFD2eGDPp0AxiSGCkOk0kaGUlBRotdpWUaDy8vJW0SJfTJw4EUeOHPH6/MMPP4y6ujrlq6ioKOA1E0RXokRlZAiRSUiKZh/klWojQ6Ij6IosVZEhDw0XAWdkqNlqh0NKWfnEGDoDtRxN402RASwy1F84AQAQ04Z4OUhKnZXtC2p9BNGV6DRiyGAwYOzYsVi3bp3b/nXr1mHy5Mnc19mxYwcyMzO9Pm80GhEXF+f2RRDdnQaTVanO8lta7xIZSpE+yLk9Q7oIQCt9+AdpQpZTW3yRodaVZIAzMiSKgMmmYiRHCAzUlbJ5WoUYSouNQF9NCQCgMTbX80HpkkiqL3YKV4Lo5nSqNNmCBQtwww03YNy4cZg0aRLeeustFBYW4vbbbwfAojrFxcV4//33AQBLly5F7969MXToUFgsFnzwwQf47LPP8Nlnn7Xnj0EQnY7yBsm/YtT5NyS7RIZUe4YEgUWHmiqYbyg+O6D1Wu0OWGwOALyeodZDWgEgQqeFIDAx1GS2+//ZDaHrMyS/Zskq0mQGnUYRQ2X6HMR6OigiHkjoCdQWsuhQ7hlBr5UgOjudSgxdffXVqKqqwuOPP46SkhIMGzYMq1evRq9evQAAJSUlbj2HLBYL7r//fhQXFyMyMhJDhw7FqlWrMGvWrPb6EQiiU1IuDVtN5RgL4e4ZYser6kJtjHOKoQBpdjE8c1WTKQ0X3cWQRiMgSq9Fk8Uupd38/PwhTJNVK92n+SNDaKlFMtjrViRkoZ+349KHS2JoL4khgkAnE0MAMG/ePMybN8/jcytWrHD7/oEHHsADDzzQBqsiiK5NuTRsNS2WQwxJfYYQmaSkeALrQh2MGGIpPb1WgEHH4QbwkiYDWJqtyWLn6zUUBgO1mjQZqo4CAErFRJxo8fH2nj4UOLSKiSGCIDqPZ4ggiPajQkqTpcX68QvZLIBFiopEuaTJmtq2C7WqHkOATzGkqteQ3LAxBGky2XSepCJNhkpWHHLckalU/3kkYxjblpIYIgiAxBBBEByUK2LIzwdzixQVAvP+JEvVZO0VGeLyCwEuYiim1VOqeg2FsM+QMqRVTWSoJh8AUCCmK/9mHkmXxFD5AcDO2TaAILowJIYIgvBLeb2UJvPnGWquYtvIBECjdTFQWyCKHKXpQGgjQzyVZIDvyJCaXkMhnE0WiIEatcwzeUJM9S2GEnNZ5Z7dDNT5nu1IEN0BEkMEQfilnDdN1uKsJAOgRIYsdodSmu+Xdo0MRbV6KqDIUJBpMrtDRG2LFYC6PkOoY33RisUURcB6RKMBkiV7daX3vmsE0V0gMUQQhF9kMZTqL03W7KwkA4BIgxZGycBc22zlu5kihmrVLlNBFi7R3JEhubS+dZpMiQzxeIbkajK7hfmnAqS+xQo5kJYQpec/UYkMpfhvdJnSn20rDwewQoLoWpAYIgjCL0qazK9nyD0yBDg/zNWLoSAiQ1IUittA7aUDtes1uKrJDC6dfYKIDtU0MyEVY9RBr+V8m3bYWSNFAMViKqqaLLDZHd6PTxnAtiSGCILEEEEQvjFZ7ag3MXHhN02mRIaSlV2JUSzNU9vCGSkJQXm6MzKkNk0WZDWZVse8OEBQviE5RaYqKtRQCjhsEDU6VGqSIIpApS/jerIcGaI0GUGQGCIIwidyWb1Bp0FcpJ9IS4t7mgxwfqDX8EaGQlCRpToyJEdx9J77DAGckSEgJCbqWikyJAtJvpNYikyIy0JSDBNkcn8oj6SQGCIIGRJDBEH4xLWsXnCZ6O4RpeFiorIrIVKKDDWrjQwFLiaUyJBqA3WQkSEgJCbqmqYAIkOSeRoJvZQIntw53COygbq5kmaUEd0eEkMEQfikQk33aQ+RocRolZ6hUIghOTLEbaDm8AzxVJMBLiM5AhdDzjSZ+sgQ4nOUfyuf5fXGGCBOmv1G0SGim0NiiCAIn3CX1QNuQ1pl4qXIUA13ZCiObYOKDIWu6aKqPkOAy7DW4NNkCZGBRIZylKq/Cl9iCABS5PJ6MlET3RsSQwRB+EROtfhtuAh4jgyprSYzuogJh49qKB80q2666HlqPeAaGeJNkwXvGapRPEPqy+qR0NMlMuTDMwQASX2lG+apXSJBdClIDBEE4RN1Q1pbR4aUajK1niEgYN9N4JGh1k0XnX2GeNNkwVfDycJRVZqs/iTbxvVAapxsoPYTGUrKZdvq42qXSBBdChJDBEH4hLvhoig6Z5O5RIbi1VaT6SIAjRTRCTC6IgsXrmoyu42NpQB8zybjTpMFP6zVKYZUltYDQGwmn2cIAJL6sG01RYaI7g2JIYIgfKKkyfx5hkx1gChFT4KJDAlC0CZqWbhw9RmyNjkfe6wmY2JIfWQomD5DKkvrrS3Ojt2xGYoYqvA1kgNgM8oAJoZ4Z8cRRBeExBBBED7hjgzJfiF9FKB3CifFM9TCGRkCghYUqiJDcopMowO0rcVHlCSoVEeGgvEMqS2tl6NCugggIh5pUpqsotHse0BuYm+2Ndc5o3oE0Q0hMUQQhFdsdgeqmjgN1EqPoSS33XKarK7FCruDM/qgVJTVc6/VbSkWFZEh1x5DHvoouUaGfAoLmRD0GVKqyXgjQ41lbBubAQgCUmLYeVa76Nu4bogCYjPZY/INEd0YEkMEQXilqskCUQQ0gnMCvVeUSrJEt91y00VRBBpMbdNrSO4WHc0VGfLefRpwRoZsDhEWX7O+ZILsM2SxOZSeRtzVZA0lbCsJG6NOq0SVyDdEEP4hMUQQhFdkv1BKjBFajb/u060ryQA2xiNGKnFvi5EcdoeIFqucJlMZGfJAlN55jWauYa3BGahlv5AgAHERKtNkMenKLu7y+kSqKCMIEkMEQXilolEqqw+wx5BMfKRcURb+xouyEAKAaJ4+Qz66TwOATquBUcfeKrl6DQUZ1ZLTWvGRemj8CVAZl0oyGa6RHICzvJ56DRHdGBJDBEF4hbuSDPAaGQKcIznq2iAyJHeK1ghQRIxPlIaLrcvqZWRRxVVRFqSBWhZDqoa0KmIoQ9nFX15PkSGCIDFEEIRXXIe0+sVHZEj+YOePDMliSL2B2jmkVed/sCzgs+GijJxu46ooC9JALb9G8WpGcSieIacYSo3jHMmheIZIDBHdl4DEUG1tLZYvX46HH34Y1dXsDfCPP/5AcXFxSBdHEET7IvtN/JbVAz4jQ3GRzooyLoJIkzmHtAY/sV5GVa+hIA3U9S3ONBk3rtVkEqkxKj1DTRVBtQMgiM4M5+AeJ7t378bZZ5+N+Ph45OfnY+7cuUhKSsIXX3yBgoICvP/+++FYJ0EQrthtwO/vAgVbgPQhwIQ7nB/CIcSZJgsuMiQbgetbeOd7BZEms6ioJAOcTRd9iCFVvYbkQa3WJsBhBzScokyiwcTuERdQZMjFM8Q7kiMygQnYlmpWUZY5Qs1yCaJLoDoytGDBAtx00004cuQIIiKcPoLzzjsPP/30U0gXRxCEB6wtwPsXAavvB/Z9Dvz4JLBiVlCzsLzhbLgYnGcoXnVkKHAxJJuc1UeGfHiGAokMAQGlyuql9gOxEbxiroV1/wY8VpP5TZMBzlQZmaiJbopqMbRt2zbcdtttrfb36NEDpaWlIVkUQRA++PpuoGAzSyWdcR8QlQKU7AJW3RfyW8kfpHzVZK3nksnERbIP9vo26DOkTKznjQxxpMkUzxBPNZnbbDX1YkiJDKktq5e6T8soBmp/IzkAMlET3R7VYigiIgL19a1NjYcOHUJqampIFkUQhBcOrwX2rAQELXDNx8BZjwJ//hCAAOz+GDi5I2S3EkXRKYZUeYYSWz0lR4bq2zAyxD+xXm666N1ArVST8fQZEoSgeg3JrxF3ZKipkm1j0tw6aMtpsiaL3X96j0zURDdHtRi6+OKL8fjjj8NqZf9hBUFAYWEhHnroIVx++eUhXyBBEBIOB7BuIXs88Q6g9xT2uOdEYMRV7PHGF0J2u9pmq9Jx2a+B2mZ2em98eIbawkDdrBio1UaGvKfJVEWGABcxF0RkiNcz1FTBttHuf4zGGHXKuv2mymQTdU0+7zIJokuhWgy9+OKLqKioQFpaGlpaWjB16lT069cPsbGxeOqpp8KxRoIgAODQaqDiIBMKUx9wf+70BWx7eI0zbRIksl8oIUoPo85PlEVOkQkawBjf6mn5g73epFZMBFNazxsZ8t10EVDZZwhw6TWkfv1yKjGOOzLkWQwBThHr10QtD2ytzue7J0F0MVRXk8XFxeHnn3/Gjz/+iD/++AMOhwNjxozB2WefHY71EQQBsMFeP7/MHp82x80bAgBIGwTkTASKfgF2/gc4Y0HQt5RLslWnyDSt/8YKKk0mih4HqHpDTglxdZ8G1HmGeCfXB9FrSI4M8afJJDEUldLqqfTYCBRUNfsvr5c9Q/UnAJsF0Klo+EgQXQDVYkjmzDPPxJlnnhnKtRAE4Y3iP4Di35lJduI8z8eMuoaJoQNfh0QMOf1CHJVkLd79QoAzyqFaDIl2Vi3loyHiqagurefpQK2mmgwIqteQMzLEmyaTPEPRrcWQ3HixzN9Ijph05pmyNgO1hUBKP+71EkRXgOvd4pVXXuG+4N133x3wYgiC8MLOD9h28EVAjJdChYGzgG/mMxN1XTEQ3yOoWzrL6oNruAg4I0MNZhvsDtH/0FdDNAABgMiiQyrEUOBNF310oJau1cgbGQrCQO2MDAXnGQJUDGsVBJYqK9/PyutJDBHdDC4xtGTJErfvKyoq0NzcjISEBACsI3VUVBTS0tJIDBFEqLG2AHs+Y49HX+f9uJg0IGc8UPQrcPh/LJ0WBKFquAi4m4EbTFYk+Ju7JQjMG2WuY2IoNt338S6ob7rI4RmSrtXCHRkKrBpOFEUleia3I/BLsxwZ8iSGWFSvwl9kCGAm6vL9rPEiQXQzuAzUeXl5ytdTTz2FUaNG4cCBA6iurkZ1dTUOHDiAMWPG4Iknngj3egmi+3FwFRMF8T2B3n/yfWz/c9j2+MagbxuqURwAoNdqFN+N+i7U6kzIStNFtaX1oawmC3BYq8nqgM0hAlATGfKeJkuP4zRQAzS9nujWqK4mW7hwIV599VUMHDhQ2Tdw4EAsWbIE//jHP0K6OIIgAOz8kG1HXePRnOxG7lS2zd/ESvGDQBnSGqfCM+QlMgQEUl4fWHRF7gXEZaAWRb7ZZGr6DAEBG6gbJL+QRlBRDeczTcb+7cp4Gi8qFWUkhojuh2oxVFJSovQYcsVut6OsrCwkiyIIQqKpEji+gT0e+Wf/x2eNBvTRrNS9bG9Qt1bXcFEqrfdioAbargu1qsiQ3QI4pGhPqDpQAwEbqJ2jOPQQeCroHA6XyJAHMUSRIYLgQrUYOuusszB37lxs374dosjCudu3b8dtt91G5fUEEQT7T9bj9fVHsfT7w9hRKImLg98CogPIHOXsEuwLrR7oNYk9LtgS1HrkMQ6h8AwBbdeFWvEM8USG5KgQwESkFwLuM2RRt/Z6peEip1/IVMsq7gAgKrnV0/K/XV2LFSarn7W7Nl4MMqroib3FdXj1hyN49Ycj2FVUG/LrE0QwqC6tf+eddzB79myMHz8eej17c7PZbJg5cyaWL18e8gUSRFfHZLVj0df78PG2ImXf0u+P4NoJPfFUw1cQAGDIxfwXzD4NOPo9cPKPgNfUZLYpzQu50mR+PENA26XJlGoynsiQLIa0RkDr/e0w4D5DKteujOIwqqwki4j32BsoPlIPg04Di82BigYzcpJ8VOUl9GRjXmwmoLEUiMtStXZvOBwinl59AMt/dkacXlp3GBePysLTlw7n7wdFEGFE9W9hamoqVq9ejcOHD+PgwYMQRRGDBw/GgAEDwrE+gujSWO0O3PHB71h/qAKCAJw9OB1aQcB3+0ux+td9eCJiI7SAOjHUYxzbFv8e8LrktEqUQYsYng8rH0NaZZTIEHeaTE411fEdL6GqmozDLwQ4h76abQ7Y7A7otH6C6gGO42hQGxny4RcC2LiktFgjTtS0oLzB5FsMafVAfDZQW8B8QyESQ8+tOagIobMHp0OvFbB2fxm+2nkSJ2tb8N4t4/mH6hJEmAj4N3DAgAEkgAgiSBZ+uRfrD1UgQq/BshvH4Yz+7EPtf3tKsP7jl6GFHfXxgxCX3Jf/oj3GsG3VUSZSfPh4vCGnyNJ5okKAS9NFH5GhyEDnk/ELClEUnZ4hnj5DHHPJAPcoU7PVjjh/YijAPkOuniEu/IghAE4xxFNen5TLxFBNnnP2XRBsPlqJf//Ehr++eOVIXDE2GwCwLb8at6zYhm35NXjgv7vx6jWj+TxSBBEmVIuhW265xefz77zzTsCLIYjuxNe7TuLjbUXQCMDr145RhBAAnDc8E/1/2AvUAh83jsZsm93/fDCZqCTm/6jJY52r+52lem1lahouiqIzMuTLQK10oQ5f40KT1QHJysgZGZLL6n03dTTqNNBqBNgdIlosdv/doQM0UCuRoRCU1cvIFWVcJurEXAAbQlJRZrM7sPArZuK/fmJPRQgBwGm9k/DOTafhmrd+wbe7SzCxTzKun9gr6HsSRKCoNlDX1NS4fZWXl+PHH3/E559/jtra2jAskSC6HmX1Jvzjiz0AgDvP7I+zBp/SVLClFn3rtwEAPmkeg49+LVR3g2w5VRaYb0hVZMhc76zI8lVarzoypN5341rtFalXExnynSYTBEGdb8gQpGeIey6Z90oyGWevIY7y+qTQTa//cudJHK9oQmKUHg+eO6jV86f1TlL2P7XqAIprW4K+J0EEiurI0BdffNFqn8PhwLx589CnD0e1C0EQePG7Q6g32TAiOx53nelh9MHhNRAcVtTG9MUxUw8s25SHGyb19j/GQqbHWGDPpwH7hspVldVLKTJdJKCP9HpYXMCeIf7oitwHKMqghYbntZK7T+v9j/uINujQYLLxVZQpfYbUDZp1RoZC4xkCnAZ4v/PJAJeKsuAiQ6IoYvkmlh77y5/6ek37zTkjF+sOlOG3vGos+noflt04Lqj7EkSgqI4MebyIRoN777231dgOgiBas+9kHf77xwkAwKKLhkLvyX+y/ysAQMyoy5AQpUdxbQvWHyznv0nGCLYt2xfQGsuUyFBoyuqBQErrZc8QfwdqZ4+h0A1plZE9SFyRIVnIiQ42ToUTZUhrZOg8Q6mxAfQaCjJN9kdhLQ6WNsCo0+Da8T29HicIAp66ZBh0GgHr9pdh7b7SoO5LEIESEjEEAMeOHYPNxukFIIhuiiiKeGrVAYgicOHILIzp6cFjY24Ejv4AANANuwRXjcsBAHy8TUWqLH0I29YVAiZ11ViA61wynrJ62S/kWwypLq0PwDPUrHoUh/+5ZDKqJte79ixSsX7nkFaVaTIPPYZk5FRnuZou1C3VAf3eyHz0G/tdvWBEFuKjfAu7/umx+MufWFbhqdUHYLGFvscRQfhDdZpswYIFbt+LooiSkhKsWrUKs2fPDtnCCKIr8uPBcmw5VgWDToMHZg70fNCRtYDdzJospg/F5WMa8dZPx7HxcAXqWqxKhMUnkYlAXDZQfwIoPwD0nKhqnWWSvyRNVWTId9Was7Q+fF2cm1zSZFxwTKyXUdWFWqNhYs7SyHxDMWlcy5HHcfAbqPmqyQBnR3GfGGPZtZoqWHQoaxTfOlyXZLbh290nAQDXTvAeFXLlr9P7YeX2EyioasbHW4/ixphtwKHVQP1Jtp6+Z7IhxXL6kSBCjGoxtGPHDrfvNRoNUlNT8dJLL/mtNCOI7ozV7sDTqw8AAG6e0tt7z5cDX7Pt4IsAQcDAjFgMSI/B4bJGrN1XiiulSJFf0ocwMVS2V7UYkqeccxmoORouAs7eOeE0UKvqPg0AVr7Setdrcs8ncxVDnMiVdupL631VkzExVNVkgcXmgEHnJyGQmMuuWxOYGNpwqAImqwO9kqMwpmcC1znRRh3uPac/3vnyO0z64SEAp0RBj3wHrH8aOGcRMPZmbg8WQfCiWgytX78+HOsgiC7PR78V4lhFE5KiDfjrdA+maYD5Sw6vZY+HXKTsvmBEFl5edxjf7i5RIYaGsiiTSt9Qk9mGBskXE6pRHIDTB2OxOWCy2hHhr9qrTdJkkhjiMFCrn08Wyzo5q0qTyZ4hjrdmu42N4wCAKO9iKDHKAJ1GgM0horLRjKwE7yZ3AMw3dOK3gH1D30m+n3OHZqjqHXR1z0acH/EEEsR6NOsSEXXGX9nvcPVx4I/3gMrDwLf3Ake+By5fxpXaJAheVHuGzjzzTI8l9PX19TjzzDNDsSaC6HLUm6xY+v0RAMC9Z/f3ngY59iOLVsRlA1ljlN0XjMgEwJrYcVdjpQ1l27L9qtaquvs0Z2QoxqCDXODF9TPIBmpLI/esrCY13acBF88QXzUZoGI+WQBpvnqTisiQLIQAn/2dNBpBEbX8vYYQUEWZ2WbHj5LRf+awDP4Tm6uh++QaJIj12O3IxTnmZ1A66i5g0Cxg8p3AvF+AmU+zsSmHVgHvngc0kNmaCB2qxdCGDRtgsVha7TeZTNi0aVNIFkUQXY3X1x9FdZMFfVOjcY2P6hrsl1NkF7qlAvqkxqBPajRsDhFbjlby3TRdFkP7oHQi5MB1QCvXX/YcozgA9qEsf8hzVZQZXVJXnNGVZnkuGU/3adfrcqTJItXOJ1MZ2bI7RDSaVZTWyyLUGO9zrhoApAZiog4gMrTlWBUazTakxxkxKjuB/8Q1DwO1BRATe+Pl9GdRbI3Dy+sOOZ/XaIFJfwVmf8PM4iW7gBXnkyAiQga3GNq9ezd2794NANi/f7/y/e7du7Fjxw68/fbb6NGjR9gWShCdlaLqZrz7cz4A4O+zBnufa2WzAIf+xx67pMhkpg5gJtmNhyv4bpzSH9DoWa+buhPc65W7T3MNaAVcRnH4H/vh9A1xCApdBBscCnALCtWRITV9hiSBxR8Zkj1PfK0BGl2M5VyRIU7jOuBMd5apKa8PoPHixkPsd/PMQel8fZ4AVjm5+2MAAoTL38ZdF0wAAHz6+wnsP3nKa9dzAjDneyA+h42bIUFEhAhuz9CoUaMgCAIEQfCYDouMjMSrr74a0sURRFfg2TUHYbE7MKVfMs4c5KOqKG8jG0oanQbkTGj19NQBqXh3cz42HqqAKIr+ozZaPftgqzwMVB0BEvi8RqrnknGmyQC5SqpF8cb4RBCYoDDVcpuQm9VMrAdUldZHKWkytZPr+YScnDqM0Gv8m5wBVa+7UlHGFRmSxFDdCcBmBnQcvjGJzVLU8oz+3j1MbjjswJqH2OMJtwHZ4zAWwPkjMrFqdwmeXLUfH86Z4P67ntSHRYjeu9ApiGZ/C8Rlcq+TIE6FOzKUl5eHY8eOQRRF/Pbbb8jLy1O+iouLUV9fT9VkBHEKvxyvwqrdJdAIwCOzhvgWMHs+ZdshF7O0wClM7JMMo06Dk3UmHCnn9KEk92fbyiPca1bVfRrgNlADzpJx/vJ6dYKi2SqX1qttusjTZ0g2UKuoJnO9hx9UD2lV8borvYZ4IkMxaVKfJBGo5e9tVSr9XgoCMLmv975Hbuz9jIn1iARg+t+V3Q+dOwgGnQZbjlXh+wMemo0m5QI3feseIao/yb1WgjgVbjHUq1cv9O7dGw6HA+PGjUOvXr2Ur8zMTGi1nH+JBcm//vUv5ObmIiIiAmPHjvXrU9q4cSPGjh2LiIgI9OnTB2+++WabrJPoBJjqgfzNzKez6xPg4CqgaJszWhAkNrsDi75mlVzXjO+JIVlx3g82NwIHvmGPR1zt8ZAIvRbjc9kH32Ze31CKejGkqvs0wN10EXA2E+TvQq0u1SRHhqJ5PUNWFZEhpbQ+PH2SVDdcDCAyxCWGBMGlE/VxvrXA+Ts5vEc8EqIM/k9w2IENz7LHU+4GIuKVp3KSonDr6WwNT3trxJjYWxJEPYHqY0wQ1RVzr5cgXOH6X/f111/jvPPOg16vx9dff+3z2Isuau11CBWffPIJ5s+fj3/961+YMmUK/v3vf+O8887D/v370bNna1NqXl4eZs2ahblz5+KDDz7A5s2bMW/ePKSmpuLyyy8P2zqJDogoMg9E0W9A0a9sW76PjUs4FUELZI0GRlwFDL+S6y9vT3y0rQgHSxsQH6nHfTO8NFiUObSafTAn5jqHrHpgYp9kbDpSiW351bh5Sq7/RShi6DD3ulV1n7ZZmCcJ4IsMSeX1DbyRIZXRFTlqwx8Z4i+tl31I/JEhdUJO9cR6FZEhuXlmGU+aDACS+7H+VJVHgAEzuU6RxdDp/ThTZIfXMBETmQiM/0urp+dN64tPtxchr7IJ723Jx9w/eZh9KQui9y5gwm3F+ZJAyuZbA0FIcL1jXHLJJSgtLUVaWhouueQSr8cJggC7nfONIgBefvll3HrrrZgzZw4AYOnSpfjuu+/wxhtv4Jlnnml1/JtvvomePXti6dKlAIDBgwdj+/btePHFF0kMdXIsNgcqGs0oqzehvN6M8ga2Las3oaLRDMFmRq71CAZaDmCI/QD6mPYh2lrd+kLxPZnXQB/J/oKvKwIay4Di7ezrxyeByXcDk+ap6mtSVm/Ci9+xapgF5wxAUrSfv5R3r2TbEVf7bCh3Wm/2wfdbXg2fbyhlANtWHeVaN6C2+7QUFYLg9pe9N5TIEPewVnWNF2U/D3dkyMLfdDFKMVCrjAzxpsnUTqxXFRlSkSYDnL83KkT0r3lsPZN4U2S/LWPbMbM9dpaOjdDjgZmD8MBnu/HSukOYMTQdvZI9/B9M7AXctJoJoZo84O2ZwLWfABnDuNcuI4oiCqubsaOwFnmVTSiubUFtswUWuwirzQGjXoPYCD1iI3RIiTYgIz4SmQkRyIqPREZ8BOIidKp6KxEdB67/dQ6XHh8Ozn4focZiseD333/HQw895LZ/xowZ2LJli8dztm7dihkzZrjtmzlzJt5++21YrVbo9Zx/gYWB/APbUXlkm/Qd+88jCIAoPYYgQFAesyNEZZ8A51OC6yUgZz7lawnyN/Ihguv15e/dr+G8pqbVeW73k68hrYfdz/mzAKxDuUYQoJHM9xqNtA8CoDNA0EdC0EfApjGiRdSjWdSj2W5As12D2hYrqposqGo0o7LRgspGMyoazChvMKO6ibV30MKOTKEKPYVy5AqlGC3kYbgmDwOFIhgEd2FuFnXYK+Ziv3YQxOzx6DNmOiaOGNq6uquumKWs/ngPKN8PrH8S2PUf4LJlPqM2MqIo4qHPdqOuxYphPeJwnb+RBA1lrL8QwKJRPhiRHQ+DToPKRjPyKpvQJ9XPh3iy1NyxvpiJPaP/D/0KNZEhpZIswaPP6VTkqAeXgRpQnWpyjuNQGRlS02eItwO1Sr9Tg9ohrc1VbKsiMlTVaIbdIULrr9JLjihyiuiSuhYU17ZAIwCjPc3bO5XKo8Dx9QAEYJx3r+mV47Lx5c5ibDlWhYc+24P/zJ3gWWwk5AA3rwbev4QVC7wzE7jkX8x/5we7Q8SWY5VYvacE3x8o9zm2RAMHcoUS9BNOIlEohk4oA4RamIV6NAgNsMIKveCAQbBBAxF2rREOrRHQGiHqIpgZ3RAFQR/FopH6SIi6KIj6SPalY192XRQc2gjYdZEQoYEDAkRRhAPsfVYEIIryPrYVRUAUHa0eOyACogjRIcIhPQfRIV3DIR0rQoTDJVAuQlDacYjSF1z2QVoFHzz6MLH3SPQdMZn7mqFGdQfq9qKyshJ2ux3p6elu+9PT01Fa6rm0srS01OPxNpsNlZWVyMxsXX1gNpthNjv/M9TX80/MVkPJb19gUt5rYbl2V8AuCjDB4PwSDTDDADP0MMKKGEMzYoUWxArN0MGzQDcZk1GZMAoF0cOwVzMIP9ZlYmeJCWaLAzgC4EghMteU45rxPXH9xF7O6E18D2Di7Sx0v+9zYN2jLAT/9gxg5lPAhNt9/u9eub0I6w9VwKDV4OWrRnkvpZfZ8T4g2lkFWXJfn4dG6LUYlZ2A3/KrsS2/2r8Yikpi3YmbK9kHm5/xCq7dp7k8QyqiE4Dzg76ep7QecKaaLCojQzzVZDYL4JBEWTg6UKs2UKvoMQRw93cCgORoIzQC4BCZIPLbNkEW0ZyRoe35bC1DsuL4GnVuW862A85lkR0vCIKAZy8bgZlLf8LW41V4++c8zDnDQ7oMYKmxOeuAlTcCeT+x7ajrgRlPeHyNbHYHvtx5Eq+vP4q8yiZlv0GrwdAecRiUEYucOC36244is/YPpNb8jqSqP6C3NbW6VitknWAzATS/nIutpbM7vhh65ZVXuC949913B7wYHk79q8BfqsDT8Z72yzzzzDNYvHhxkKv0jyElF7tLxropbUV9S1tRdAn4uDwnnyGf61mhe7qWvM/5vLfj4fYXgPsxynGih/NckNcqiM41w+WvDT2siBAtMMICo2BBJJzNPLWCiGiYEQ3zqYtojdYIJPRk/oGM4ewDP3MUIhJ6IlsQkA1gCoDbwOaD/ZZXjXX7y/DNrpMoqTPh5XWH8ebGY5g9uTf+ckYfJMqiSKMBhl8B9DsLWHUfq3xZ8xD7gDjvBY+N7vacqMOjXzHT9H0zBmBAup/Bkg478Pt77LGPv5BdGZ+bhN/yq/FrXjWuPo1jEGZKf6Cwkvk//Igh1d2nVfhWgPCnyeTIUCSPGLK6fKiFYzaZagO1yiGtKoSoViMgJcaI8gYzyuo5xJAcGWqqYKLLTw+p3wuYGBrXi+P3wGYBdn3EHp82x+/hPZOj8PdZg7Dwq3149n8HMbpnAsZ6u09kInD958D6p4CflwI7P2BR3sl3AWNuAGIzYLU78MUfxXht/VEUVjMDfXykHrOGZ+KCQbE4TXcMhuKNQMEWYP82Jmhc0Uez1yd1IKvWjE0HotNgMiSi0qxBVYuIihYRVQ0m1DU2ob6hAU3NzXBYTRAtzRCtzRCsJhhEEyJgQoRoQQTMMIpmRMKEKOm9MEIwIwpmKS4kB+NF6TF7H9VI+0TlCLBn5WwCBPfoPwQpw+CehXBu5U8Hwfm827s7O58dA5z6xswfK2qNLsX3H4LhhksMLVmyhOtigiCETQylpKRAq9W2igKVl5e3iv7IZGRkeDxep9MhOdlzXvvhhx/GggULlO/r6+uRk8M5C0oFY8+fA5zv/42gWyGKgN3C5nPZTN63OiPrumuMZemZ6DQmXDjQazWY0i8FU/ql4OFZg7BmbymWbTqOvcX1eGPDMby/JR83TemNuWf0cVbERCYCl7/NTNVrFwLb32EfEJctY718JIqqm/GX/9sOs82BMwelef8L1pUj65hPKTIRGHIJ189wWm4SsB7Ylu/BA+WJlP5A4VaWPvCD6u7TaiNDESoN1CoFRYtVxaBWuWpQowN0/quf5GhTs9XO59dSaaB2DmnljQypE6LpcREob2D+OsCPv8sYC8RmAg0lLKWVc5rPw+XfxbG9OFJkeRtZ76joNKDvdK61Xz+xF37Lr8E3u05i7vu/Y+Vtk9AvzYuA1eqBsxcB/WcAq//GjODrn4S44WlUJIzCDw052N+SiHFiBGZGOnBObx1GR1dCX3EI2LOXRWldiUoBek0Gek1h2/ShHlPCEQCypS+i88H1vy4vL7CBfaHEYDBg7NixWLduHS699FJl/7p163DxxZ7zwpMmTcI333zjtm/t2rUYN26cV7+Q0WiE0cjfZIwIIYLAhI6KJm/BYNRpcfGoHrhoZBa+P1COpd8fxr6T9Xh9/TG8v6UAt56Ri1tOz2Uf4ILA/rpM6AX89xZg3xeAwwZc/g6gM+B4RSNuePs3lNSZ0C8tBkv/PMq/LwMANv+TbUdfD+j5mhyO7ZUIjQAUVbegtM6EjHh/KQ/+8nql+zSPXwhQlaoBnB2o1ZfW80aGVDRdVFFWDzijTXaHCLPN4X/QrLx2zjRZg1mFZ0gUVQtRpQt1Pa+Juj8TQ1VHfIqhRrMNB0qY4BvXm0MM7fuSbYdcxOUzA+R02XAUVjVh14k6XLf8F7x703jf7Sp6TQZu2wTr7k9Rs+FfSKvdibSaP3AN/gDkl1gEcOrHW3wO0HMS0GsSE0ApA/hML0SnJijPkL+UU6hZsGABbrjhBowbNw6TJk3CW2+9hcLCQtx+++0AWFSnuLgY77//PgDg9ttvx2uvvYYFCxZg7ty52Lp1K95++2189NFHbbJeonMgCALOGZKOswenYe3+MixZdxgHSxuw9PsjeHdzPuaekYurT+uJ1FgjewO/+gNg5Q3AgW8grrwBX/V/Bgu/PYIGsw19UqLx4ZwJfKmOgi1A4RZAawAmzuNeb4xRh0EZcdhfUo+dRTU4N95P512lMsi/GCqtawEA/wJLRsUoDsC16SKnGFLhu7HZHTBL/Wi4xnHI19TziSFXU3azxc4hhtRFtVRFhiyNTr8Tb2RI+jct5S6v78+8N35+b3YW1sIhAj0SIpEZH+n7mnYrcPBb9pgzEioTbdTh3ZvH4+p/b8WR8kZc+eYWPDxrMK4d39Pj6I+6Zis+/K0AKzYno7zhAeQIZTg76iiuyKzCoJhmaK2NgC6SVUEm92X/T7JGc3dqJ7oWAYmht99+G0uWLMGRI+w/Sf/+/TF//nyl5D1cXH311aiqqsLjjz+OkpISDBs2DKtXr0avXsyAV1JSgsJCZ8fU3NxcrF69Gvfeey9ef/11ZGVl4ZVXXqGyesIjgiBg5tAMnDM4Hf/bW4ol3x/G0fJGvLj2MJZ+fwST+iZjYp9k9EoegdSJr2Ps1juhO7wGMQfKYLbOx/je6XjtutF8URVRBDY+zx6PuhaIy1K11pE5CZIYqsO5w/yIIdkMW31cMo95/+PlZC37oMxMCP0oDiCQNBl/ZEjuPg1wDmpVMYoDYL6bCL0GJqsDTWab/3YJspCzm5lPxk8qTpVnSH7dtUYu8zcAZEliqKS2het43vL67QVsLVxRoeMuKbJe6s2ySdEG/Pf2yZj3n9+x+WgV/vHlXizfdBwXjszCgPRYaDUCiqqbsfV4FTYfrYTVzv5gT48z4pap03HN+Nn+RSzRLVEthhYuXIglS5bgrrvuwqRJkwCwEvZ7770X+fn5ePLJJ0O+SFfmzZuHefM8/xW9YsWKVvumTp2KP/74I6xrIroWGo2A80dk4txhGfhm10ms2JKPnUW12HSkEpuOyJ2fozFFswBv61/E2dod+C51ObJv/hR6I6eIOLyGlRZr9MCU+arXOConHh/9BuwqqvV/cEJP1ibB2gQ0ljPDpxdKpMhQlr+/8GVUlHcDzqhHs8UOq90Bvb9KOzViSDI26zQCDP6uC6gqq5eJNuhgslr4hrW69s6xNAI6369RvdKBWs2Q1iTuFI4ctSmp44wMpUgi2k95/e4TdQCA0TkJ/q+57wu2HXwhd4rsVOKj9Hjv5vH44JcCvLTuMPKrmvHqj57XODgzDnNOz8WFI7P45r0R3RbVYuiNN97AsmXLcM011yj7LrroIowYMQJ33XVX2MUQQbQVWo2AS0b3wCWje+BoeQM2HanE7wU1KK83Q4SIlISZ+CW+D6b+fhdyqzcB/50NXP1//j1P1hZgzcPs8aS/OkcfqGCk9MGzp7jOf98YnYGVHdcWsuiQTzEkRYZ402RNkjiMTuU63DUF1GiyOSv3vKEiTSaXvEcZtHype7majKOSTCbKqEVVE2d5vVYP6CKY6d/c4FcwNiizyTjellVG5ABntO9kncrIUNUxwG7zWD0piqIihkb4E0OuKbKhl/o+1g86rQY3TcnFleNysHpPCX7Nq0ZBVRNEkaUDh2XF45wh6d5N1gRxCqrFkN1ux7hxrRvPjR07FjYbNVQguib90mLRLy3WwwiM0cDANOA/fwaOfAd8fB1w5bseO+oqfPd31ik3NhP4098CWk//tFhEGbRoNNtwvKIR/f2V8CfmMjFUk8eMoV6Q02RZCbyRIVkM8Y1g0Gk1iDZo0WSxo95k9S+GVESGWsI4ikNGdeNFQwwTQxxiTukzxGOgVmlcB5zRvpO1LXzVcHHZzE9lbWIiOnVAq0NK6kyobDRDpxEwJNOHmRkIOkXmiWijDleOy8GV48jnQwSH6rjh9ddfjzfeeKPV/rfeegvXXXddSBZFEJ2KPtOAaz9mZsyj64DlZ7O/pj2x5VVWmg+wDrkcHaE9odUIGNaDlUfv5EmVKYM3vVeGmm12VDaySiP+yJCcJuOcRwVnGoir8aKKLs5KJRn3KA7ZM8QvhlQ3XuQ0UZusdmUYqbrIEJ9xHXCa4k1WB2qbOQzsGg2QNpg9Ltvr8RA5KjQgPda/F2d/8CkygggXASVR3377bQwbNgxz5szBnDlzMGzYMCxbtgwajQYLFixQvgii29BnGhsQGZsJVBwE3pgM/PiUc4p2fQnw9d3A2n+w7896FOh7ZlC3HCWlJXadqPV/cJLU88jHFPKyOiaEjDqNf3MwwEzBZvZhyBsZApzl9VwjOVzL0/2MApJ9PFyVZPI1AVVpMqXxIncXar7IlmwoFwQghmf9KnsMAax7ebL078qdKksfwrbl+z0+vae4FgAbE+MTuxU4uIo9HnoJ370Jog1RnSbbu3cvxowZAwA4doz99ZuamorU1FTs3ev864GG1RHdjuxxwF82AJ//hTWW++l59mWMd4oGAJj+CHB68H8sjMxOAADsKqrzfSDA0mQAS5N5Qf6AzIyP4Gy4KEWFBC0QkeD/eAlV5fWKUBFZusZH+tHVM8SF3GdIRZpMiQyp7ULtZ5yI/FrEGHUey8RboRjXOYeiSmQmRKCqyYKSWhOGZvkfrIt0adhp2T6PT8uRoeH+xFDeRpbai05lvXsIooOhWgytX78+HOsgiK5BbAZw41fA/i+BX99ifYRkIZQzETjzESD3TyG51cgc9gF0oKQeJqufvjcckaESRQyp9AtFJXF3AAdcRnLwpMn0kawSTnRIg2a9iyHZx8PVfRpQXVoPOKNOLTzVZAB3mq9BmUsW+lEcrmTGR2Jvcb3yb+2X9KFs60EMuZmneyT4vo7caJFSZEQHpdMMaiWIToMgsGqZoZcCLbVAYxn7i1hFSoOHHgmRSIkxoLLRgv0l9Rjja1p4Ym+2balha4pMaHWI6h5DciWZCr8Q4DKslScyJAhMUJjqpFST955KqiNDSpqMXwzJfqRQD2uVO3KHaxSHjNxr6CRveX2alCarLQBM9UCE0yRdVN2CuhYrDFoNBmb4MPAH0WiRINoK1WLIZDLh1Vdfxfr161FeXg7HKXl86ulDEC5EJngUHqFAEASMyE7AjwfLsauo1rcYMsYAMelMmNXkAZGjWx2iusdQk7pKMhnnsFYVvhtTnd9Uk2rPkMpxHICzUo2rzxDAbaBuUFNJBgQeGZKqBLkbL0YlAbFZQMNJoPwA0HOC8tRuyS80ODPWdw+fvJ+YCI9KoRQZ0WFRLYZuueUWrFu3DldccQXGjx9P3iCCaEdGZMfjx4Pl2HOC0zfUWMZSZVkexJDq7tOBiSHFM6R6PplvQSGbmrkm1gMBldY7PUNqDdS+h7XWK92nwxsZylQbGQJYqqzhJFC2x10M8fqF9n/JtoMv9NiriCA6Aqp/M1etWoXVq1djyhRS+ATR3igmaq6Kslyg6Bev5fXyB6TqyFCAaTL1k+t9R4aaFM+QSjGkpppMdWSIb1irqlEcANAs9RkKwDMEgN8zBABZo1jLiOIdgMu81t3S79wI6XfQI3YrcEButHiJmqUSRJuiurS+R48eiI310+CNIIg2Qf6r/Hhlk/9SdcVE7VkMKQbqMEeGnGmy0A5rbVY8QyqbLqrpM2RUGRniTJOpGtJqszhThgFGhkrrTHA4RL6Teoxl2+Ltyi6HQ8TeYhbt8llWn7+JRbGikoFep6taK0G0JarF0EsvvYQHH3wQBQUF4VgPQRAqSIkxokdCJEQRyoeTV3yU17dY7EojPu5qMiUypK682zmsVW2azE9kSPEMha+0XnVkiFPIOUdxqOg+DYFNXFdBRnwEBAGw2kVUNpn5TpLFUMUhZqIGE9+NZhsi9Br0S/URWXOtIqMUGdGBUS2Gxo0bB5PJhD59+iA2NhZJSUluXwRBtC3yX+a7/aXKfESG5B5D0QYtv29F7nWj1jMUqaIDNcAthpqVDtRqI0MqZpOp7kCtrumi3JDSJ7JfKDJBdZm6XqtBagybnSd7xPwSkwbE9wQgAid3AHA2WxyWFQ+dt6G4dhtw4Bv2mKrIiA6Oaql+zTXXoLi4GE8//TTS09PJQE0Q7cyI7AT8b2+pYmj1ijySo+EkGxard0aAiqpZlCQnKYr//3SAniHVaTLVkaHwpcmUDtTcTRf51l6vJjIUYCWZTE5SFMobzDhR06IM/PVLjzFAXSFQ/DvQZyqfeTpvozNF1vuMgNZKEG2FajG0ZcsWbN26FSNHjgzHegiCUIkSGZL+WvdKZKKzG3ZNvnPuFNzFEDdBVpNxG6g5U03KoFZeA3VApfXs2s3WEPcZUtN0McBKMpmeSVH4vaAGhdK/ORfZ41hVWPHvAKBUL/r0C+39jG2HXEIpMqLDozpNNmjQILS0qKhEIAgirMgDW4uqW1DdZPF+oCAASb3Z41NSZfIHY09eMWS3Ob0r0alqlquk4RpMVj4TL2dpvZy64ooMORwuniEVHahVR4Z4DdQqmi6GIDIEQJ0YypFK6gs2w2a1Yu9JKTLkrfO01eRMkQ2/MqB1EkRboloMPfvss7jvvvuwYcMGVFVVob6+3u2LIIi2JT5Sjz4p7APdr2/Ii4latRiS/UIQVE1OB5yeIYfI6b1RBIXv9xdZoHB1oLa6CIEAIkOqO1Bze4Z40mSBzSWTkf+Ni9SIoawxrGdSSw2KDvwCk9WBGKNO+b1rxZG17N8rLtsppAiiA6M6dnnuuecCAM466yy3/aIoQhAE2O2cfzERBBEyhmfH43hlE/acqMO0gWneD5R9Q60iQyzayy+GXOeSqTPxGnUaGLQaWOwONJhs/n0yBr5eParGcch+IQhu3il/yFEnk9UBu0OE1t9QVTmqZW1i0SgvM9ycnqHwTKx3pWcgkSGtDsg9Azi0GvX71gGYgGE94rwPld3zKdsOv1zV3DqCaC9COqh1x44dQS2GIIjAGJGdgK92nsQufyZqD5EhURTVe4YCNE8DbIxIbIQOVU0W1JusyIIfMcJhQhZF0TmOg6eazOrSfVpFEYhrd+tmC4eQcx0sa2l0m+0l43CIaDSr8AwpDRfVReRkZDFUXNsCm93hvRrsVPpMBw6tRkzxzwAmKA0/W6+vGjj8HXtMKTKik6BaDE2dOtXt+7q6Onz44YdYvnw5du3ahfnz54dqbQRBcMJfXt86MlTTbFU+jLMTVU6sV2melomL1KOqycJnoubw3ZhtLFIDqIwMqUiRASyqpdUIsDuY+PIrhnQRgKAFRLtXMdRosUGUrFNtERlKizXCqNPAbHOgpM7EL4D7TgcA9GzchQiYvXee3vURYDcD6cOB9GEBrZEg2pqA45c//vgjrr/+emRmZuLVV1/FrFmzsH37dv8nEgQRcoZmxUEjAOUNZpT6mjslR4ZqCwEHi6TI6ZKMuAhE6DlTXk3B+VZkEzXXfDKOkRYtLk0QuTpQW+RKMhXVc2BRLVXzyQTBr5iTBaFBp+F7/YM0UGs0QmAm6uR+cMT3hB42nKnZ4bmSzOEAtr3NHp92i6qoG0G0J6rE0IkTJ/Dkk0+iT58+uOaaa5CYmAir1YrPPvsMTz75JEaPbj38kSCI8BNl0GFAOhMNPqNDcVmA1gA4rEDdCQABmKcBoKmcbWPSA1muElHh6jVk8J8mk/1CEXqNfx8P4EyTqWi4KKO+C7Xv9cuCMNxDWl0JyDckCKjoOQsAcIXhF89RxOPrgepj7GceflXA6yOItoZbDM2aNQtDhgzB/v378eqrr+LkyZN49dVXw7k2giBUMLyHnCrz4RvSaIHE3uyx5BsqrGLCQFWPoYZStg1QDMmdltWlyRqg5JNOoTnQhosqRnHIqJ9PJke2PIsh+TXgargIBB0ZApxiqKBKhRgC8GvMmQCAM7ADguwbc2XTy2w76lrnvxtBdAK4xdDatWsxZ84cLF68GOeffz60WnUVJARBhJcRUjdhvxPsE919Q8crmDDonaxCGDTKkSEflWs+iDXKIzlUpMkgulSBuSMLk0jeuWQW9Q0XZdRPrveXJlMRGRJFZ3+nICJD8r/18QrfFXqnsqE2DTsdfaCHFdi2zP3Joz8ABT+zyOOUewJeG0G0B9xiaNOmTWhoaMC4ceMwYcIEvPbaa6ioqAjn2giCUMFIycOxp7gOopcICgCniVqKDB2VPhD7p6v4S76xjG1jM1SvE3BGhup5IkP6KECQ3qq8+IbUR4ak6wQghpQu1CEa1qpqFIepjpmxgaAiQ/3SmMA8qlIM7S6ux1u2C9g3v7wJ1Jewx+ZGYPX97PG4W4H4HgGvjSDaA24xNGnSJCxbtgwlJSW47bbb8PHHH6NHjx5wOBxYt24dGhp8NxUjCCK8DMyIhV4roLbZiqJqH13iXSJDDoeIo+XsA1H+gORCFkMBRoZUTa4XBBffjecP7yZlSGv4RnHIyKX7/MNafTdeDGhIqz4K0Efw3d8D/dLYmgqqmmGxObjOaTTbcKyiEWsc42HNGM3Gunx2K1B+EPh0NlB9HIjNBKb/PeB1EUR7obqaLCoqCrfccgt+/vln7NmzB/fddx+effZZpKWl4aKLLgrHGgmC4MCo02JwJivd9pkqc4kMldSb0GyxQ6cR0Is3TeZwuKTJAjVQy9VkagWF5y7ULdY29AzJkSFuz5BUTu/HQC2nDn2i9BgKPCoEAOlxRsQadbA7RORXeU49nsqeE3UQRSAjPgr6y95gY0wKNgP/mgAc/Z61EbjqfY/tAwiioxNUa9CBAwfi+eefx4kTJ/DRRx+Fak0EQQTICJdUmVeUyFA+jpaxD+jclGjoeZvvtVRLqRpB9VwyGXnshOrJ9V5STU1qRnEAAfcZApyCqylEabKAIkNRgTVclBEEAX2l6NCRMr5U2c6iWgCswSfSBgO3/A9IG8KezBgBzP4WyBkf1LoIor0IyShhrVaLSy65BJdcckkoLkcQRICM6JEAoBC7pA8ujyT2AiAAlgYUnSgE4EybcCFXkkUlA1rOCqhTiFNK60Mz46tZHtLK030aCEoMyam4ZtVpshB4hkJQSSbTPy0GO4tqlTSpP34vYPce11sSYpkjgXlbAZsF0BmCXg9BtCc0NIYguhAjpYqyPcV1sNm9eEF0RiCOGVwbTh4GwD4YuVH8QoGlyABnmqyBp5oM8CsoVEeGlIn1gafJmngn1/sRcrIg5KomC0ElmYwsgI+U+/d7Ohwithewe4/rfcq9SQgRXQASQwTRheifFoO4CB2aLXbsO+ljyrvkG7JWHgcAJWXChVJJFrgYcqbJVPbq8eIZalYzpBUILjKklNaHps+Q4hniiQzJabIA55K5IoshnsjQ8cpG1DZbEaHXYGgWeYKIrgeJIYLoQmg0Asbnsr/cf82r8n6g1HhRW5cPAOgfUCVZ8JEhbs+Qn8n1zon14U+TRcuRIe4+Q74r4ZyeobZNk8kdy49XNPmtKNuWz6JCo3IS+L1lBNGJoN9qguhiyGLot7xq7wdJkaEMewkMOo3KHkPBNVwEnB/8FpsDJiuHqPAjKJrN8sT68JfWR0m+JO5qMu4+Q+Ef0upKdmIk4iJ0sNgdOFzmO1W2XRJD43oFf1+C6IiQGCKILsb4XDY89be8ajgcXpovShVlvYRyDM6MU/fXvjKKI7CGiwAQY9ApMzxVj+TwgNwAkT8yJAkTfUfoQC2P4+BYewgjQ4IgYDhH9aEoivjlOIsynpZLYojompAYIoguxtCsOEQZtKg32XCw1Mtf/EmyGCrD8B4qPSAhiAxpNAJijCpSZX6iK01KNVn4x3E4q8lCM6jVOY5DhWcoBJEhABjWw78YOl7ZhOLaFhi0Gow/1TxNEF0EEkME0cXQazVKqmzjYS8jc6TIUKpQh9HpKsvjG06ybWxmoEsE4NqFmicy5M9AzYRJpF6tZ0h9NZmzz1DwBmqWJmR+HT4xFJqmizLycN89Pob7/nyEDWQ9LTeRf/YbQXQySAwRRBfkzEEsarP+YLnH5y36ONSKLNoyNt5Hg8ZTEUWgXhJDQc6fUirK1Axr9TOOI4a3z5BSWh/EbDLe0nrXNNkpM+Ncx5HEcKXJZDEUfDUZAIzpya6zv6Te62iUTUeYoD6jf2ANNgmiM0BiiCC6INMHMjH0e2ENapstrZ7ffaIW+SI7phfK+C/cXAXYTAAEIDYrqDWqqijz04G60awiTSaKQQ1qVT2bTE7xiXbptXMitxaIMeqg1Qi+r2OzOKNLIUqTZSVEomdSFOwufYRcsdgc2HqM+YXO6J8SknsSREeExBBBdEFykqIwID0GdofoMVX2y/EqFIqsNF6oyee/cF0R28akBd1sT1WazE/jwkY1kSGbGRClUvKA0mROz5AoejGou2JwqdQ7Zf1Ov5CKhosQgIh4nqVyMbEPE1aySdqVLccq0WSxIyXGiMEZ1F+I6LqQGCKILsqZg5jYWbuvdeRn4+EKFEhiCDV5/BetK2bbuOBSZIBTAIQyTcY1jkNOkQEBpclk34zdIcLMM/Fdo/Eq5uRBteoaLiYAmtB5dyb2YdWHGw+1Fs2rdpcAAGYNz4DGX+SKIDoxJIYIootywQhmcF63vwx1zU7BUVZvwvaCGhRKaTJUH+e/aL0khoL0CwEqh7UavVdkmW12WO0sQsMlhuQUmdYIaNWPZ3Qt3+evKPNcDadEhniGtIawrN6V6QPToNUIOFjagOMVzvWZrHZ8t4+1UTh/eHBmeYLo6JAYIoguytCsOAzKiIXF7sDnO04o+1fvKYEoArq0AWxH5VH+i9ZJ14nLDnp9cmRIVZrM0tDKhOw6Iyyap9opiLJ6ANBqBEToNdK9gxvWqmpIawjnkrmSGG3A5L4sOiRHggDgyx3FqDfZkJ0Y2XoeGUF0MUgMEUQXRRAEXDehJwDg3xuPw2S1w2Z3YMWWfADA8JGnsQPrT3hNP7UihJEhWQCoSpOJDsDa4vaULEgi9VroeJpHBjGKQ0Z140UvabIGVUNaQzeX7FQuHsX+Pf/vlwKYrHZY7Q4s/5mlT2dP6u3f3E0QnRwSQwTRhbnqtBxkxUegtN6EF747hA9/LURBVTOSow24ZPIwIFoql646wnfBUHqGItVEhqIBSB/IpwiKRjV+IQCwBi+GnI0X1fYaOiUypGZIa5jSZABw0cgs9EiIRHmDGcs3HccbG47haHkjEqL0uOq0nJDfjyA6GiSGCKILY9RpsfCCIQCAt3/Ow2Nf7wMA3HlmP+Z9SRnIDqw4zHdBJTIUijSZCs+QIHgVFM4eQyon1uvVV5LJKI0XuXsNefY81asZxRHi7tOuGHQazD+7PwDgxbWH8fI69vuw8PwhiOcZIEsQnRwSQwTRxTlveCYWXjAEeq0AQQBumtwbsyf1Zk+msA9AVHKIIYfd2XAxBJEhZ5pMZb+eU7pQq44MhSJNFmivIW9psjaeWO+JK8ZmY960vtAIzBd115n9cNmY4P+dCaIzoL6UgiCITsetp+fi6tNyYLM7kBDl0h8oVYoMVR7yf5HGMtY4UNACsYEPaZVxpsk4IkMAMyE3oJW/qT3FUCNPig8AIqQePa0iQ2om1ssG6tB7hgDmMXvg3EG4bWpfCALneBCC6CKQGCKIboLHhoRyZIgnTVZTwLbxPULS50aJDPEKCi+ppsBHcQSeJotVGxmSmySa3EefqBrSGubIkAylxYjuCKXJCKI7I3uGqo8Ddj8RGrkfUVKfkNxarqBqNNtgd6jo5Gw5NTLEfDttGxliYpDL/A0ARjky5J7iczZdVBEZCkM1GUF0d0gMEUR3Jq4H68LssAL+xnLInaqliffB4lpBxZVu8hsZ4jVQBz6XTCbGyNbeyNtnyFtkyCw3XVTRgToMBmqC6O6QGCKI7oxGA6T0Y48r/PiGqiUxFKLIkEGnUZoXBtOFWhnFYVAbGYrxfZwPZOHF3XTRixiSI0N++wyJYpulyQiiO0JiiCC6OymcJmolTRaayBCgsrzeS2m9agO1bMA2BiGGItQaqFuLIVEU+T1DlkYWvQMoMkQQYYDEEEF0d9IGsW3Zft/HhThNBrjMJ+Mpr/dSni5HZ7h8NwAb6eF6vQBQqsm4I0MJbOsihposdshWKb9NF+WokNYYlPGbIAjPkBgiiO5O5ki2Ldnl/ZjmaqeBN7F3yG4tCxi+yJDn+V6BG6iDSZOpFUOtI0NyVEivdc4684qrX0ig0RgEEWo6jRiqqanBDTfcgPj4eMTHx+OGG25AbW2tz3NuuukmCILg9jVx4sS2WTBBdBYyJDFUddTjVHgAQMVBto3vGVR66VTk9BBXVZZckWU5dRwHExVtmSaTRZxqz5C5njWvhGslmR6CP4FDlWQEEVY6jRi69tprsXPnTqxZswZr1qzBzp07ccMNN/g979xzz0VJSYnytXr16jZYLUF0ImJSpY7SIlC61/Mx5VIKTU6phQglMsQzrNVrmoyJC/XVZEGkySSzdgO3GIpzPpbW36Cm4SKZpwkirHSKposHDhzAmjVr8Msvv2DChAkAgGXLlmHSpEk4dOgQBg4c6PVco9GIjIzgu+USRJcmcySbO1ayC+g1qfXz5VJkKG1wSG+reIZUVZN5nk3GX00WvBhSbaDWGQFdBGAzsVRZZILyM3M1OQxz92mC6O50isjQ1q1bER8frwghAJg4cSLi4+OxZcsWn+du2LABaWlpGDBgAObOnYvy8nKfx5vNZtTX17t9EUSXx59vqPwA26aGWAypSpN5jgy1SzWZUWWaDGjlG3KW1Xec7tME0V3pFGKotLQUaWlprfanpaWhtLTU63nnnXcePvzwQ/z444946aWXsG3bNpx55pkwm81ez3nmmWcUX1J8fDxycnJC8jMQRIdGEUM7Wz8nih0kTeZvan3bG6ibLHY4eLpnA63FkFxWH9m+E+sJgmhnMbRo0aJWBudTv7Zv3w4AHg2Goij6NB5effXVOP/88zFs2DBceOGF+N///ofDhw9j1apVXs95+OGHUVdXp3wVFRUF/4MSREcnawzblh9wpmRkavLZh7FGH/rIUEBpMmdkyOEQ0WRRUU1mtwJ26Y+hEAxqBQKfTyYLQIoMEUT7066eoTvvvBN//vOffR7Tu3dv7N69G2VlZa2eq6ioQHp6Ovf9MjMz0atXLxw5csTrMUajEUajkfuaBNEliE0HkvuxirLCX4CB5zmfO8H+IEHmCEAfEdLbyp2XVafJRBEQBDRb7crTXJEh1xRbEJEho04DvVaA1S6i0Wzz3ycI8BAZktJkajxDVE1GEGGhXcVQSkoKUlJS/B43adIk1NXV4bfffsP48eMBAL/++ivq6uowefJk7vtVVVWhqKgImZmZAa+ZILosvaYwMZT/8yliaBvbZo8P+S0D6kAt2pkRWR+pGJg1Avz36gGcKTKtAdAZAlkyABapjjbqUNtsDay8Hq6RIUqTEUR70yk8Q4MHD8a5556LuXPn4pdffsEvv/yCuXPn4oILLnCrJBs0aBC++OILAEBjYyPuv/9+bN26Ffn5+diwYQMuvPBCpKSk4NJLL22vH4UgOi69T2fb4xvd9xf9yrbZ40J+S9kvwxUZ0ruktaQIT6OLX8hvrx4gJJVkMnIkintyvVfPEEdkqKmSbaOSVa2RIAg+OoUYAoAPP/wQw4cPx4wZMzBjxgyMGDEC//d//+d2zKFDh1BXx95otFot9uzZg4svvhgDBgzA7NmzMWDAAGzduhWxsbHt8SMQRMem75mAoAHK9jiHsjaUOk3VvaaE/JZyeonLQK3ROE3UkhhSbZ4OQSWZjLOizO7nSImgqsmq2DbKfySdIAj1dIo+QwCQlJSEDz74wOcxouis6oiMjMR3330X7mURRNchOoVFh/J+Ag58DUy5BzgoFRv0GAfEhT697EyT2fwWRABgIsbS0EoM8Y/iCH1kSO6A7ZdAq8msJue6o0kMEUQ46DSRIYIg2oAhl7Dt7ysAuw3Yx9LOGHxBWG4nCwG7Q0SLlSPCIosYSRyo7jEUSjGkxvwNOMeJqK0ma5ZSZBq9U1ARBBFSSAwRBOFkxNXMl1J9HFh5I5C/CRC0wLDLw3K7SL0WWg2LBnFNrj+lC7Vc1t4eabJotY0XA60mc/UL0ZBWgggLJIYIgnBijAHOuI89PiSlyMbeBCT0DMvtBEFQqqnUTa6XDdRyjyG1c8kC7zEkE6t6cn0C25pqIYoi6tRGhihFRhBho9N4hgiCaCMm3AE0lgF7PgNyzwBmPBnW28VF6lHTbFUGl/rklMn1gXuGgi+iiFbEEKeBWu4R1FKLZosddqlztV/PUJNsnqZKMoIIFySGCIJwR6MBznmcfbUBzpEcHBGWUybXy32G2rOajNtAHZnAts3VShRMpxEQqfcT1aLIEEGEHUqTEQTRrqhrvCiLoUAN1PJcsuDTZKpL6+WGidYmNDSydcRF6v1X0DVVSOeTGCKIcEFiiCCIdkWJDHGN5HAf1tqoekirNI6jXarJ4lkfJwDNdSzaw9V9WjZQR6eqXiNBEHyQGCIIol2JU9N4UUmTsZEWss+IS1QALmmy4D1DqtNkGo1iojbVsWhPPE/3abnhYjR5hggiXJAYIgiiXZFLy/mGtUoGaknUNKgZdgq0b5oMUFJllkYmcNSN4qA0GUGECxJDBEG0K7FBlNbLYiiWNzIUhqaL3KX1gFJRZpfFENcoDjJQE0S4ITFEEES7oipNdopnSE6TxfKICsCZJguBGIo2BCKGWGTI0cym0PstqwdcSutJDBFEuCAxRBBEu6IqTWZwryYLODIUgtJ6+Z6NvAZqwFlR1lIDgCMyZLMAZtaxmiJDBBE+SAwRBNGuqEuTuU+td4ohXs9QCCNDkmeoxepsoOgXKU2mNUliyJ9nSDZPC1pnB2uCIEIOiSGCINoVOTrCZ6CW02QNMFntsNgdANREhkJnoHYdAcKdKpPSZHpLLQCOKjjZLxSVzKrRCIIIC/S/iyCIdsXZgVpNaX0D6lssANjs0hgDhxhy2AFrM3scgtJ6o04Lo469hXKNEgGAKBYZMlhY6sv/kFap4SKlyAgirJAYIgiiXZF77ahKkzlsaGxiUZ4Ygw4aDcc0dzlFBoQkTQY403PcjRelNFmkTRJD/tJ7NJeMINoEEkMEQbQrsiAwWR2w2By+D3YRMU0NTFCoTpEJWkBnVL1OT8jVYFxRLUBJk0XZ693O9wqV1RNEm0BiiCCIdiXGRcz4TTdpNIogMjVympBlXIe0+psHxolzrhpnZEiqJosVG9zO9wo1XCSINoHEEEEQ7YpWIyjdnLlEhSyGmlh0hT8yJM8lC94vJCMLMf7IEEuTxYkNAET/VXAUGSKINoHEEEEQ7U6cMvSUvwu1takWgJqy+tBVksnEqWkLAChpMqNgQxTMSIjys/bGcraNSQt0iQRBcEBiiCCIdidW6ULNX15vbWmQzlU7pDU05mnANTLEmSYzREPUGAAAabpmROi1vo9vKGXbmIxAl0gQBAckhgiCaHdkIzFXZEhKk9laVKbJpEn3oSirl3F6hjgjQ4IAm9Q8sWdEi//jG8vYNjY9gNURBMELiSGCINqdWDWiQppc7zDJYojXQN3gdn4oUF1NBsBsZP6fnsZG3wc6HE4xRJEhgggrJIYIgmh3FO8NV5rMfT4Zd2TIJM34igihGFIbGQLQrGe+oR66Bt8HtlQDDun1IM8QQYQVEkMEQbQ7zmGt/GkywSJ7htozMqTSMwSgQccqytK19X4OlPxCUcmAlvNnJAgiIEgMEQTR7jiHtfIbqDVSdZjf+V4yimcolJEhldVkAOq0LDKUKtT5PrCRzNME0VaQGCIIot1R0k083hspTaa1Nbqd6xclMhSGPkMqxFCVGA8ASBZrfR/YQOZpgmgrSAwRBNHuOEUFT2SIRXb0NhYZ4vcMSZGhcHiGVKTJykV2/zhHje8DKTJEEG0GiSGCINqdWDXpJskzZLA3S+e2Z2TI2RLA4RC5zimxs8hQjM2PGKLIEEG0GSSGCIJod+LUTH+XxEyEg4khv8NOZcLiGWLrdohAk4UvOnTSysRclKXS94EUGSKINoPEEEEQ7Y4SGVLhGYoGa1qYGGXgu4mSJotXvT5vROi1MOjY2yjvsNZCsxTZstQBNov3AykyRBBtBokhgiDaHVVGZGnQagxaYNRp/I+0kAlDB2pApfkbQKEpAjZReuttqvB+IEWGCKLNIDFEEES7kxDpTJNZ7Q7fB0tiJlpo8T/oVEYUw9JnCHBtGOlfDImiiNoWO6ograGp3NuBFBkiiDaExBBBEO1OQpQBgsAe1zb7ERVKmsyEhEjOFJm1GRDt0vmhjQzFqqiEa7HaYbE7UCEmsB2NXiJDLTWATZpdFpsVglUSBOELEkMEQbQ7Wo2gRIdqmn34aABFzBgFG5Ij+Sq4FL+QoAUM0YEu0yNqIkOy0KuG5FuSZ4+dSl0R20anAfqIoNdIEIRvSAwRBNEhSIxmUZ7qJj9iSCqtB4AMI2d/H9eyejkEFSJkv1OdCjFUr2UjObymyepOsG1CTtDrIwjCPySGCILoECRJVWE1/sSQRgurhkVL0o2cnZ/DUFYvI0e0arnEEPvZGvTJbEd9iecDZTEUnx30+giC8A+JIYIgOgRyZKjKnxgCYNayVFeKwf+x7ITQd5+WSZLWXesvvQenYGqMkCrE6os9HyinyeIpMkQQbQGJIYIgOgTckSEAzUIUO0dn4ru4KTxl9QAzfwMc6T2XY1qierAdtUWeD6TIEEG0KSSGCILoECTFSKKCI8LSKLDIUJKmhe/iYUyTJUVLaTJ/VXAAqhrZz+aIk0ROHYkhgugIkBgiCKJDoCYyVC8yMZSgaeK7uGygDkOaLFFVZMgMANDIIsdU61ybKzUFbEtiiCDaBBJDBEF0CJRqMo4IS7UkhuJETjEUxjSZLIZ4PEOVkmCKTUhyjgWRo0AypnpnlVlS35CtkyAI75AYIgiiQyCnm3giQ1V25hmKFj1EVTwRpu7TgNNAzZPeq5bSZEnRBiC+J9t5qhiqPs620alhiWQRBNEaEkMEQXQIeNNNoiiiwhoJAIiy84qhOrYNi4GaiTiT1YEWi93nsVVSmiwlxuhMgdUWuB9UfYxtKSpEEG0GiSGCIDoESZxNF1usdlQ7WGQowlbPd/EwTKyXiTHqoNeyRo7+umdXuUaGkvpIO4+fcpD0fTKJIYJoK0gMEQTRIZA9Qy1Wu88IS22zFXVgniGtHPHxR0sN20YmBrVGTwiCoJTX+xJDdoeoPJ8cYwBS+rMnKg+5H6hEhvqEfK0EQXiGxBBBEB2CWM4IS22zFXWSgVow1fJdXD4uIiHwBfrAWQnn3fxd22yBQxqllhhlAFIHsm8qDrsfWHmEbSkyRBBtBokhgiA6BIIgcPmGalssqBOl+WQttXwXl48LQ2QIABIl87cvE7X8MyVE6aHXaoAUSQzVFQKWZvbYbgPK9rHH6cPCslaCIFpDYoggiA4Dj2+opsmKWilNpqS//KGIoYTAF+cDnvL6Sle/EABEJwORSexx1RHn1tbChtGSgZog2gwSQwRBdBiSY+T5ZGavx1Q2mpU0GUy1gCj6vqjdClikqrOwRYb8izj5uZRoo3Nn6iC2laNBJbvYNmM4oKG3Z4JoK+h/G0EQHYbUGCYUKhq8i6GqRrNioIbDBlj8NF40uZisw1BNBgCJUf5HcsgCT4kMAUD2OLYt3Mq2JbvZNnNkyNdIEIR3SAwRBNFhSI31L4YqmyxogRE2gQkQv6ky+XljPKDRhmKZreDxOsll9XL0CwDQawrbFmxhW1kUZY0O+RoJgvAOiSGCIDoMXGKowQxAgFUvdWf2V1GmlNUnBL0+byRylNbLkaFk18hQzwkABKDqKFB+ADi5g+3P/VO4lkoQhAc6jRh66qmnMHnyZERFRSEhIYHrHFEUsWjRImRlZSEyMhLTpk3Dvn37wrtQgiACRhFDjT7SZFL0xW6UUl7+KsrCbJ4G+Izf8nPJMS6eochEIHMEe7zyRgAikDECiMsK11IJgvBApxFDFosFV155Je644w7uc55//nm8/PLLeO2117Bt2zZkZGTgnHPOQUMDZwt/giDalNSYCAB+IkOyUJJ7BvGmycJkngb4Ilrl9VJkyDVNBgAjr2XbSqnf0OgbQr4+giB802nE0OLFi3Hvvfdi+PDhXMeLooilS5fikUcewWWXXYZhw4bhvffeQ3NzM/7zn/+EebUEQQRCWhyPgZpFWIQoSdz4S5OFueEiAKRJYqiy0Qy7w3N1W1mDCQCQERfh/sTYm5weoR5j2fcEQbQpnUYMqSUvLw+lpaWYMWOGss9oNGLq1KnYsmWL1/PMZjPq6+vdvgiCaBvkarKaZissNker501WOxrNNgCAPkbq0eM3TRb+yFBStAGCADhEz20BRFFEmRQZSj9VDOkjgFvWAnN+BG5eA+gMrc4nCCK8dFkxVFpaCgBIT09325+enq4854lnnnkG8fHxyldOTk5Y10kQhJP4SL0yksOTqJBTZAatBvpoSdz4TZPVsm0YPUM6rQbJUv8gOR3mSq2LuJOjX+4XMADZY0kIEUQ70a5iaNGiRRAEwefX9u3bg7qHIAhu34ui2GqfKw8//DDq6uqUr6KioqDuTxAEPxqNgBQpOlTmQVTI6bPkGAMEuXtzB/AMAc5UmacUn5wiS4o2wKgLT3k/QRCBo2vPm995553485//7POY3r17B3TtjIwMACxClJmZqewvLy9vFS1yxWg0wmj08JcbQRBtQkZ8BErqTCitawFyEtyeK6s3KccgKpntbK7yfUFZDIXRMwSwiM/+EqBcEj6ulNaxfbJgIgiiY9GuYiglJQUpKSlhuXZubi4yMjKwbt06jB7NzIkWiwUbN27Ec889F5Z7EgQRPFkJkdhRWIuTta1FRYkkKjLjI4Bo6b2jqdL3BWUDdZgjQ7LfyVOarNybX4ggiA5Bp/EMFRYWYufOnSgsLITdbsfOnTuxc+dONDY2KscMGjQIX3zxBQCWHps/fz6efvppfPHFF9i7dy9uuukmREVF4dprr22vH4MgCD9kxTPBcLK2pdVzcoQlIy4SiE5lO5v9iKE2aLoIOL1A5Z7SZPVeKskIgugQtGtkSA2PPvoo3nvvPeV7Odqzfv16TJs2DQBw6NAh1NU55xA98MADaGlpwbx581BTU4MJEyZg7dq1iI2NbdO1EwTBT2Z8JABnFMgVz5GhCt8XVAzU4fYMMaHjMU0miaF0T+ZpgiDanU4jhlasWIEVK1b4PEY8ZXq1IAhYtGgRFi1aFL6FEQQRUrISmBgq9hUZio8AoqVxHC01gN0GaD28nYlimxmoM5WIVmsxdKKG/Sw9EiPDugaCIAKj06TJCILoHmQlMFFRUtdaDJXUs32Z8RGSuJEqQ72ZqC2NgEOaJB9mMZSdGAUAOFHT3Oq5omq2L0c6hiCIjgWJIYIgOhRyZKi8wezWeNHhEFFWx/w4GfERbAK9UlHmxTckp9D0UYAhOmxrBoDsJLbummar0hgSYOuWI0M5SSSGCKIjQmKIIIgORXK0AUadBqLoHh2qarLAYndAEJz+HL++IbnSLDo8VauuxEXoER+pBwAU1zjXXdZggsXugFYjKKk0giA6FiSGCILoUAiCgN7JLIpzvLJJ2Z9fxR5nxUfCoJPeuuSKMm/l9YoYSg3LWk8lW/IEuabKiqolv1BCJHRaessliI4I/c8kCKLD0SdVEkMVTjGUJz2WnwPgTJN5FUNSxKiNxFCO4htyRoYKZb9QEpmnCaKjQmKIIIgOhyx48iqdfcTkKFFuiosYUiJD3tJkshgKf5oMcEaGZMM0ABRKES0yTxNEx4XEEEEQHY7clBgAp0SGJGHUx00MSSLHm4FarjKLahsx1Fta25Fyp4g7WNoAAOifTv3NCKKjQmKIIIgOh6c0mfw4NzXGeaC/kRxtnCYbnMl6Hx0oqVf2yWJocAaJIYLoqJAYIgiiw9FXEjyl9SbUNFlgsztQUMVST7nJrp6hjiWGBkqCp7zBjKpGMxpMVsUzJAslgiA6HiSGCILocMRH6pXo0B+FNThc1giL3YFYo07x5QDg8Ay1XWk9AMQYdeiVzLxBB0sbcEiKCmXERSAx2tAmayAIQj0khgiC6JCM68U6Rm8vqMHuE7UAgGE94qHRCM6D/JbWt62BGgAGZ7AI0P6T9dhbzGYlDs6kFBlBdGRIDBEE0SEZ1ysJAPB7fg22HGNG6LG9ThmpEZvBtuY6wNLk/pzdCjSWS8dlhnOpbozqmQAA2Hq8Sln3uN5JbXZ/giDU02kGtRIE0b0Yn8sExG/51cq+Pw04xfsTEQcYYgFLA1B/Ekjp73yusQyACGj0bVZNBgBn9E/Bs/8DfjxYruz7U/+28SwRBBEYFBkiCKJD0jslGqNyEpTvsxMjW0eGACAui23ri933159k29hMQNN2b3VDMuMw0KWMvn9aDIb1IPM0QXRkSAwRBNFhWXjBYMQYddBqBCy8YAi0rn4hGUUMnXTfL38vP99GCIKAf1wwGHqtgEi9Fo9eOASC4GHdBEF0GChNRhBEh2VsryRsfvBMNFttyIz3Ms4irgfbeosMtbEYAoAz+qdi84NnQq/VUBUZQXQCSAwRBNGhiY/SIx567wd4jQwVuz/fxqTF0YR6gugsUJqMIIjOjTcx1FDi/jxBEIQXSAwRBNG5kdNkdT4M1ARBED4gMUQQROcmsRfb1uQBoujcX1PAtvE5bb8mgiA6FSSGCILo3CT2BgQNYGmUegsBMDcCDVJkKLlvuy2NIIjOAYkhgiA6NzojkCBFh6qOsm31MbaNSgaiqPszQRC+ITFEEETnJ7kf21YeYVtZFCX393w8QRCECySGCILo/MhjOGQRVCVFhmSRRBAE4QMSQwRBdH5kX1CryBD5hQiC8A+JIYIgOj9pQ9i2dI/7NnVg+6yHIIhOBYkhgiA6P5kjWUVZw0kWHao4yPb3GNu+6yIIolNAYoggiM6PIRrIGM4er38KEB1AfE8gNqN910UQRKeAxBBBEF2D/jPYdt8X0vfntN9aCILoVJAYIgiiazDyGpYqkxl1XfuthSCITgWJIYIgugbJfYFzn2Ozyqb/A8gmvxBBEHzo2nsBBEEQIWPCX9gXQRCECigyRBAEQRBEt4bEEEEQBEEQ3RoSQwRBEARBdGtIDBEEQRAE0a0hMUQQBEEQRLeGxBBBEARBEN0aEkMEQRAEQXRrSAwRBEEQBNGtITFE/H979xYSVdeAcfzZ41upOVpaKmGWSJRpIWpIUJEQZhRoQRhEZFYgWBhCRQVpEXnRkQo7EB3oKBUVQUFBpB0oOhIEBVamNR20C7WTks57pe83n9+XvVqzmtn/H8zFXjOMzyx05pm1lzMAANgaZQgAANgaZQgAANgaZQgAANgaZQgAANgaZQgAANjaX6YD/OncbrckqampyXASAADwszpetztex3+EMtSN5uZmSdLQoUMNJwEAAP9Wc3OzwsLCfngby/0zlcnG2tvb5XK55HQ6ZVmW6TjGNTU1aejQoaqrq1NoaKjpOH6LefYO5tk7mGfvYJ49ud1uNTc3a8iQIXI4frwriJWhbjgcDsXExJiO8ccJDQ3lj80LmGfvYJ69g3n2Dub5H92tCHVgAzUAALA1yhAAALA1yhD+lX79+qmkpET9+vUzHcWvMc/ewTx7B/PsHcxzz7GBGgAA2BorQwAAwNYoQwAAwNYoQwAAwNYoQwAAwNYoQ+i1lpYWJScny7IsPXr0yHQcv1JTU6OFCxcqLi5OQUFBio+PV0lJiVpbW01H83nl5eWKi4tTYGCgUlNTdf36ddOR/E5ZWZnGjRsnp9OpyMhI5eTk6NmzZ6Zj+b2ysjJZlqVly5aZjuIzKEPotRUrVmjIkCGmY/ilp0+fqr29XXv37tWTJ0+0bds27dmzR6tXrzYdzadVVFRo2bJlWrNmjR4+fKiJEydq2rRpqq2tNR3Nr1RWVqqwsFC3b9/WlStX9P37d2VmZurz58+mo/mtu3fvat++fRo7dqzpKD6Ff61Hr1y6dEnFxcU6c+aMEhMT9fDhQyUnJ5uO5dc2bdqk3bt368WLF6aj+Kz09HSlpKRo9+7dnWMJCQnKyclRWVmZwWT+rb6+XpGRkaqsrNSkSZNMx/E7nz59UkpKisrLy7VhwwYlJydr+/btpmP5BFaG0GPv37/X4sWLdeTIEQUHB5uOYxuNjY0KDw83HcNntba26v79+8rMzPQYz8zM1K1btwylsofGxkZJ4vf3NyksLNT06dM1ZcoU01F8Dl/Uih5xu93Ky8tTQUGB0tLSVFNTYzqSLTx//lw7d+7Uli1bTEfxWQ0NDWpra1NUVJTHeFRUlN69e2colf9zu90qLi7WhAkTlJSUZDqO3zl58qQePHigu3fvmo7ik1gZgofS0lJZlvXDy71797Rz5041NTVp1apVpiP7pJ+d5//kcrmUlZWl2bNna9GiRYaS+w/LsjyO3W53lzH8OkuWLNHjx4914sQJ01H8Tl1dnYqKinT06FEFBgaajuOT2DMEDw0NDWpoaPjhbYYPH645c+bowoULHi8ebW1tCggI0Ny5c3X48OHfHdWn/ew8dzyxuVwuZWRkKD09XYcOHZLDwfuYnmptbVVwcLBOnTqlmTNndo4XFRXp0aNHqqysNJjOPy1dulTnzp1TVVWV4uLiTMfxO+fOndPMmTMVEBDQOdbW1ibLsuRwONTS0uJxHbqiDKFHamtr1dTU1Hnscrk0depUnT59Wunp6YqJiTGYzr+8efNGGRkZSk1N1dGjR3lS+wXS09OVmpqq8vLyzrHRo0crOzubDdS/kNvt1tKlS3X27Fldu3ZNI0aMMB3JLzU3N+vVq1ceYwsWLNCoUaO0cuVKTkv+BPYMoUdiY2M9jkNCQiRJ8fHxFKFfyOVyafLkyYqNjdXmzZtVX1/feV10dLTBZL6tuLhY8+bNU1pamsaPH699+/aptrZWBQUFpqP5lcLCQh0/flznz5+X0+ns3JMVFhamoKAgw+n8h9Pp7FJ4+vfvr4iICIrQT6IMAX+wy5cvq7q6WtXV1V1KJou6PZebm6uPHz9q/fr1evv2rZKSknTx4kUNGzbMdDS/0vHRBZMnT/YYP3jwoPLy8rwfCPg/OE0GAABsjV2YAADA1ihDAADA1ihDAADA1ihDAADA1ihDAADA1ihDAADA1ihDAADA1ihDAPxaaWmpkpOTTccA8AfjQxcB+KzuvmV+/vz52rVrl1paWhQREeGlVAB8DWUIgM/q+K4rSaqoqNDatWv17NmzzrGgoCCFhYWZiAbAh3CaDIDPio6O7ryEhYXJsqwuY/99miwvL085OTnauHGjoqKiNGDAAK1bt07fv3/X8uXLFR4erpiYGB04cMDjZ71580a5ubkaOHCgIiIilJ2drZqaGu8+YAC/BWUIgO1cvXpVLpdLVVVV2rp1q0pLSzVjxgwNHDhQd+7cUUFBgQoKClRXVydJ+vLlizIyMhQSEqKqqirduHFDISEhysrKUmtrq+FHA6C3KEMAbCc8PFw7duzQyJEjlZ+fr5EjR+rLly9avXq1RowYoVWrVqlv3766efOmJOnkyZNyOBzav3+/xowZo4SEBB08eFC1tbW6du2a2QcDoNf+Mh0AALwtMTFRDsc/7wWjoqKUlJTUeRwQEKCIiAh9+PBBknT//n1VV1fL6XR63M+3b9/0/Plz74QG8NtQhgDYTp8+fTyOLcv6n2Pt7e2SpPb2dqWmpurYsWNd7mvw4MG/LygAr6AMAUA3UlJSVFFRocjISIWGhpqOA+AXY88QAHRj7ty5GjRokLKzs3X9+nW9fPlSlZWVKioq0uvXr03HA9BLlCEA6EZwcLCqqqoUGxurWbNmKSEhQfn5+fr69SsrRYAf4EMXAQCArbEyBAAAbI0yBAAAbI0yBAAAbI0yBAAAbI0yBAAAbI0yBAAAbI0yBAAAbI0yBAAAbI0yBAAAbI0yBAAAbI0yBAAAbI0yBAAAbO1vd1URHN/nGMgAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "psi = morlet_wavelet(t)\n", "\n", "# Plot the real and imaginary parts of the Morlet wavelet\n", "plt.plot(t, np.real(psi), label=\"Real part\")\n", "plt.plot(t, np.imag(psi), label=\"Imaginary part\")\n", "\n", "# Add a legend to differentiate the parts\n", "plt.legend()\n", "\n", "# Add axis labels and title\n", "plt.xlabel('Time')\n", "plt.ylabel('Amplitude')\n", "plt.title('Morlet Wavelet: Real and Imaginary Parts')" ] }, { "cell_type": "markdown", "id": "worth-calcium", "metadata": {}, "source": [ "The **Continuous Wavelet Transform (CWT)** of a time series $ x_t $ is a convolution of the time series with a set of scaled and shifted versions of a \"mother wavelet,\" referred to as **wavelet daughters**. \n", "\n", "Each daughter wavelet is obtained by shifting the mother wavelet in time by $ \\tau $ and scaling it by $ s $, where $ \\tau $ controls the translation (shift, likely in time) and $ s $ controls the dilation (scaling) of the mother wavelet.\n", "\n", "The mathematical expression for the CWT at a specific time $ \\tau $ and scale $ s $ is:\n", "\n", "$$\n", "CWT(\\tau, s) = \\sum_t x_t \\frac{1}{\\sqrt{s}} \\psi^*\\left( \\frac{t - \\tau}{s} \\right)\n", "$$\n", "\n", "where:\n", "- $ \\psi^*(\\cdot) $ denotes the complex conjugate of the wavelet function,\n", "- $ x_t $ is the time series being analyzed, and\n", "- $ t $ represents the time index.\n", "\n", "## What do varying $ \\tau $ and $ s $ mean?\n", "\n", "- **Varying $ \\tau $**: The parameter $ \\tau $ controls the **translation** of the wavelet along the time axis. Changing $ \\tau $ shifts the wavelet in time, allowing the CWT to capture temporal features of the time series at different time instances.\n", "\n", "- **Varying $ s $**: The parameter $ s $ controls the **scaling** (or dilation) of the wavelet. When $ s $ is small, the wavelet is compressed (higher frequency), and when $ s $ is large, the wavelet is stretched (lower frequency). Varying $ s $ allows the CWT to analyze the time series at different frequency scales, capturing both high-frequency and low-frequency components depending on the scale.\n", "\n", "The CWT, therefore, provides a time-frequency representation of the signal, where varying $ \\tau $ gives information about the time location of features, and varying $ s $ gives information about the frequency content at that specific time.\n" ] }, { "cell_type": "code", "execution_count": 21, "id": "2dca09ab", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create figure and axes for 4x4 subplots\n", "fig, axes = plt.subplots(4, 4, figsize=(15, 12))\n", "\n", "# Different scales (s) and time shifts (tau) for the wavelet transform\n", "scales = [1, 2, 4, 8]\n", "taus = [-2, 0, 2, 4]\n", "\n", "# Plot wavelets for different scales and shifts\n", "for i, scale in enumerate(scales):\n", " for j, tau in enumerate(taus):\n", " # Compute the wavelet with current scale and shift (tau)\n", " t = np.linspace(-5, 5, 1000)\n", " t = (t - tau) / scale\n", " wavelet = morlet_wavelet(t, omega=6)\n", " \n", " # Plot the real part of the shifted and scaled wavelet in the corresponding subplot\n", " ax = axes[i, j]\n", " ax.plot(t, np.real(wavelet))\n", " ax.set_title(f'Scale={scale}, Tau={tau}')\n", " ax.set_xlabel('Time')\n", " ax.set_ylabel('Amplitude')\n", "\n", "# Adjust the layout and display the plot\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "parallel-lawrence", "metadata": {}, "source": [ "### Computing the Continuous Wavelet Transform (CWT)\n", "\n", "To compute the **Continuous Wavelet Transform (CWT)** for a time series, we need to loop over all scales for each time step. This can be computationally expensive, especially for long signals. However, there is a more efficient approach using the **Discrete Fourier Transform (FFT)**. By leveraging the convolution theorem, we can compute the CWT for all time steps simultaneously.\n", "\n", "#### The Convolution Theorem\n", "\n", "The convolution theorem states that the convolution of two functions, $ g(t) $ and $ h(t) $, in the time domain is equivalent to the inverse Fourier transform of the product of their Fourier transforms. Mathematically, this can be expressed as:\n", "\n", "$$\n", "(g * h)(\\tau) = \\mathcal{F}^{-1}\\left( \\hat{g}(\\omega) \\cdot \\hat{h}(\\omega) \\right)\n", "$$\n", "\n", "where:\n", "- $ g(t) $ and $ h(t) $ are the functions being convolved,\n", "- $ \\hat{g}(\\omega) $ and $ \\hat{h}(\\omega) $ are the Fourier transforms of $ g(t) $ and $ h(t) $, respectively,\n", "- $ \\mathcal{F}^{-1} $ denotes the inverse Fourier transform, and\n", "- $ \\tau $ represents the time shift parameter.\n", "\n", "This theorem allows us to compute the CWT efficiently by applying the Fourier transform to both the signal and the wavelet, multiplying them pointwise in the frequency domain, and then applying the inverse Fourier transform to obtain the result in the time domain.\n", "\n", "#### Why Use FFT for CWT?\n", "\n", "The key advantage of using FFT for CWT is that it converts the convolution operation into a multiplication operation in the frequency domain, which is computationally much faster. By using FFT, we can compute the CWT for all time steps at once, making the process significantly more efficient than directly computing the convolution for each time step individually.\n", "\n", "This method is particularly useful for real-time signal processing and in situations where multiple scales need to be computed across large datasets.\n" ] }, { "cell_type": "markdown", "id": "annual-trail", "metadata": {}, "source": [ "$$\n", "CWT(\\tau, s) = \\int x(t) \\frac{1}{\\sqrt{s}} \\psi^*\\left(\\frac{t - \\tau}{s}\\right) dt\n", "$$\n", "\n", "Where:\n", "- $ x(t) $ is the signal,\n", "- $ \\psi^*(t) $ is the complex conjugate of the wavelet,\n", "- $ \\tau $ is the time shift,\n", "- $ s $ is the scale (frequency),\n", "- The factor $ \\frac{1}{\\sqrt{s}} $ ensures proper normalization of the wavelet.\n", "\n", "When we apply this to our wavelet transform, we get:\n", "\n", "$$\n", "CWT(\\tau, s) = \\mathcal{F}^{-1} \\left( \\hat{x}(\\omega) \\cdot \\hat{\\psi}^*(s \\omega) \\right)\n", "$$\n", "\n", "Where:\n", "- $ \\hat{x}(\\omega) $ and $ \\hat{\\psi}(\\omega) $ are the Fourier transforms of the signal $ x(t) $ and the wavelet $ \\psi(t) $, respectively,\n", "- $ \\mathcal{F}^{-1} $ denotes the inverse Fourier transform,\n", "- $ s $ is the scale factor, and \n", "- $ \\hat{\\psi}^*(s \\omega) $ represents the scaled and conjugated Fourier transform of the wavelet.\n" ] }, { "cell_type": "markdown", "id": "41d1777d", "metadata": {}, "source": [ "### Discrete Frequencies\n", "\n", "The frequency components $ \\omega_k $ are given by the discrete Fourier transform and are defined as:\n", "\n", "$$\n", "\\omega_k = \\pm \\frac{2\\pi k}{T}\n", "$$\n", "\n", "Where:\n", "- $ \\omega_k $ is the angular frequency corresponding to the frequency index $ k $,\n", "- $ T $ is the length of the signal, and\n", "- $ k $ is the discrete frequency index.\n", "\n", "Thus, the CWT can be expressed as:\n", "\n", "$$\n", "CWT(\\tau, s) = \\sum_k \\hat{x}_k \\hat{\\psi}^*(s \\omega_k) \\exp(i \\omega_k \\tau)\n", "$$\n", "\n", "Where:\n", "- $ \\hat{x}_k $ and $ \\hat{\\psi}(\\omega_k) $ are the Fourier coefficients of the signal and wavelet,\n", "- $ \\omega_k $ are the discrete frequencies corresponding to the Fourier transform.\n", "\n", "This formulation allows us to compute the CWT efficiently using the Fourier transform and the inverse Fourier transform.\n" ] }, { "cell_type": "markdown", "id": "significant-reverse", "metadata": {}, "source": [ "Let's apply this to a simple example (the function z we defined above) and try to re-build the wavelet transform of z." ] }, { "cell_type": "code", "execution_count": 22, "id": "statewide-trustee", "metadata": {}, "outputs": [], "source": [ "# Create a time array 't' from 0 to 999 with a step size of 1 (1000 data points)\n", "# This represents the time domain over which we generate the signals.\n", "t = np.arange(0, 1000, 1)\n", "\n", "# Generate the first signal 'z1' as a sine wave with a period of 5 units.\n", "# This means that the sine wave completes one full cycle every 5 time steps.\n", "z1 = np.sin(t/5)\n", "\n", "# Generate the second signal 'z2' as a sine wave with a period of 15 units.\n", "# This sine wave oscillates slower, completing one full cycle every 15 time steps.\n", "z2 = np.sin(t/15)\n", "\n", "# Combine 'z1' and 'z2' by averaging them (add them together and divide by 2)\n", "# This creates a signal that is the result of both sine waves. \n", "# Additionally, add random noise to the combined signal to simulate real-world data.\n", "# The noise is g\n", "z = (z1 + z2) #+ np.random.normal(0, 0.01, 1000)\n" ] }, { "cell_type": "code", "execution_count": 23, "id": "rational-manner", "metadata": {}, "outputs": [], "source": [ "def morlet_wavelet(t):\n", " return (np.pi**(1/4) * np.exp(6j*t) * np.exp(-t**2/2))\n", "\n", "def morlet_fft(w):\n", " return (np.pi**(-1/4) * np.exp(-1/2 * (w-6)**2))" ] }, { "cell_type": "markdown", "id": "published-exception", "metadata": {}, "source": [ "We start by computing the Fourier transform of our signal:" ] }, { "cell_type": "code", "execution_count": 24, "id": "suitable-cotton", "metadata": {}, "outputs": [], "source": [ "f = np.fft.fft(z)" ] }, { "cell_type": "markdown", "id": "running-liberty", "metadata": {}, "source": [ "Now we need to define the timestep $dt$ by which we vary $\\tau$, the minimum scale $s_0$ to be considered and variation $dj$ of the scales:" ] }, { "cell_type": "code", "execution_count": 25, "id": "racial-champion", "metadata": {}, "outputs": [], "source": [ "dt = 1\n", "s0 = 2*dt\n", "dj = 1/24" ] }, { "cell_type": "markdown", "id": "published-probability", "metadata": {}, "source": [ "We also need the length of the time series: " ] }, { "cell_type": "code", "execution_count": 26, "id": "worse-subdivision", "metadata": {}, "outputs": [], "source": [ "n = len(z)" ] }, { "cell_type": "markdown", "id": "aware-thread", "metadata": {}, "source": [ "Next, we determine the frequencies $\\omega_k$ of the fourier transform $f$:" ] }, { "cell_type": "code", "execution_count": 27, "id": "indirect-martin", "metadata": {}, "outputs": [], "source": [ "# Generate an array of frequencies using np.linspace\n", "# 'freq' represents the frequency array that corresponds to a discrete set of frequencies.\n", "# The linspace function is used to generate 1000 points between 0 and the Nyquist frequency.\n", "\n", "# Explanation of the parameters:\n", "# - np.linspace(0, (len(f) - 1)/len(f) * 2 * np.pi, 1000)\n", "# - The start of the interval is 0, which corresponds to the lowest frequency.\n", "# - The end of the interval is determined by the length of the signal 'f'. It is calculated\n", "# as (len(f) - 1) / len(f) * 2 * np.pi to ensure the maximum frequency corresponds to the Nyquist frequency.\n", "# - The 1000 argument specifies the number of points (frequencies) to generate between 0 and the maximum frequency.\n", "# - The result is stored in 'freq', which is an array of evenly spaced frequency values from 0 to the Nyquist frequency.\n", "\n", "ftfreqs = 2 * np.pi * np.fft.fftfreq(n, dt)" ] }, { "cell_type": "markdown", "id": "logical-jamaica", "metadata": {}, "source": [ "Now we determine the scales $s$:" ] }, { "cell_type": "code", "execution_count": 28, "id": "reliable-bidder", "metadata": {}, "outputs": [], "source": [ "# Calculate the number of scales (J1) for the wavelet transform\n", "# This formula determines how many scales to use in the wavelet analysis.\n", "# The scale resolution (dj) and the length of the signal, n, are used to compute the number of scales.\n", "# The formula is derived from the desired scale range and the frequency resolution.\n", "\n", "J1 = np.round(np.log2(n * dt / s0) / dj)\n", "\n", "# Explanation of parameters:\n", "# - n: The length of the time series (number of data points).\n", "# - dt: The time step, or sampling interval, between the data points.\n", "# - s0: The smallest scale used for the wavelet transform, typically referred to as the initial scale.\n", "# It defines the smallest feature that the wavelet can detect.\n", "# - dj: The scale resolution, also known as the logarithmic spacing between successive scales.\n", "# It defines the relative spacing between the scales, affecting how finely we sample the frequency range.\n", "\n", "# The formula calculates J1, which is the number of scales (or frequency bins) based on the length of the signal (n),\n", "# the time step (dt), and the initial scale (s0). The scaling factor dj controls how much resolution we have between the scales.\n", "# The use of np.round() ensures that J1 is rounded to the nearest integer value.\n", "\n", "# Next, we generate the actual scale values to be used in the wavelet transform.\n", "\n", "scale = s0 * 2 ** (np.arange(0, J1 + 1) * dj)\n", "\n", "# Explanation of scale array generation:\n", "# - s0: The initial scale, which defines the smallest scale in the array.\n", "# - s0 * 2**(J1 * dj): The final scale in the array, determined by the number of scales (J1) and the scale resolution (dj).\n", "# - s0 * 2**dj: The step size, or the amount by which the scale increases at each step. It is determined by the resolution dj.\n" ] }, { "cell_type": "markdown", "id": "wireless-vision", "metadata": {}, "source": [ "Finally, we can compute the wavelet:" ] }, { "cell_type": "code", "execution_count": 29, "id": "subsequent-daisy", "metadata": {}, "outputs": [], "source": [ "# Create a zero matrix to store the wavelet transform coefficients\n", "# This matrix will hold the CWT results for each scale and time point.\n", "\n", "wave = np.zeros((int(J1) + 1, n), dtype = 'F')" ] }, { "cell_type": "code", "execution_count": 49, "id": "chronic-mainstream", "metadata": {}, "outputs": [], "source": [ "# Loop over each scale (from 0 to J1), where J1 is the number of scales in the wavelet transform.\n", "for a in np.arange(0, int(J1) + 1, 1):\n", " \n", " # Compute the conjugate of the Fourier transform of the wavelet at the current scale.\n", " # The wavelet at the current scale is scaled by 'scale[a]' and the frequency array 'freq'.\n", " psi_ft = morlet_fft(scale[a] * ftfreqs)\n", " \n", " # Apply the scaling factor 1/(scale[a] * n)**0.5 to the conjugate of the Fourier-transformed wavelet.\n", " # This scaling adjusts the wavelet's amplitude in the frequency domain.\n", " psi_ft_bar = (2*np.pi*scale[a]/dt)**.5 * np.conjugate(psi_ft)\n", " \n", " # Compute the inverse Fourier transform (ifft) of the product of the signal 'f' and the adjusted wavelet.\n", " # This operation corresponds to the convolution of the signal with the wavelet in the time domain.\n", " cwt = np.fft.ifft(f * psi_ft_bar)\n", " \n", " # Store the real and imaginary parts of the inverse Fourier transform result 'cwt' in the 'wave' array.\n", " # The result is stored for each scale 'a' and each time step 'i'.\n", " # for i in np.arange(0, n, 1):\n", " wave[a, :] = cwt" ] }, { "cell_type": "code", "execution_count": 50, "id": "05115976", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.001005177965472161" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "1/scale[a]" ] }, { "cell_type": "markdown", "id": "uniform-wichita", "metadata": {}, "source": [ "Let's take a look at the power spectrum of our wavelet:" ] }, { "cell_type": "code", "execution_count": 51, "id": "personal-zoning", "metadata": {}, "outputs": [], "source": [ "power = np.abs(wave)**2" ] }, { "cell_type": "code", "execution_count": 52, "id": "funded-transaction", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 20.0)" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.contourf(np.arange(0,len(z)), scale[1:int(J1)+1]/6, (power[1:]))\n", "plt.ylim([0, 20])" ] }, { "cell_type": "markdown", "id": "processed-smith", "metadata": {}, "source": [ "### **Exercise**: Define a simple periodic function (e. g. a superposition of 3 different sine waves) and compute its wavelet by using the wavelet.cwt() function." ] }, { "cell_type": "code", "execution_count": 206, "id": "sound-description", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 207, "id": "sonic-principal", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 207, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [] }, { "cell_type": "code", "execution_count": 208, "id": "advance-amendment", "metadata": {}, "outputs": [ { "ename": "AttributeError", "evalue": "'numpy.ndarray' object has no attribute 'cwt'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[208], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m wave1, scales1, freqs1, coi1, fft1, fftfreqs1 \u001b[38;5;241m=\u001b[39m \u001b[43mwavelet\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mcwt\u001b[49m(z, dt, dj, s0, J, mother)\n\u001b[1;32m 2\u001b[0m period\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m\u001b[38;5;241m/\u001b[39mfreqs1\n", "\u001b[0;31mAttributeError\u001b[0m: 'numpy.ndarray' object has no attribute 'cwt'" ] } ], "source": [ "wave1, scales1, freqs1, coi1, fft1, fftfreqs1 = wavelet.cwt(z, dt, dj, s0, J, mother)\n", "period = 1 / freqs1" ] }, { "cell_type": "code", "execution_count": 36, "id": "viral-eagle", "metadata": {}, "outputs": [], "source": [ "power = (np.abs(wave1))**2" ] }, { "cell_type": "code", "execution_count": 38, "id": "figured-northeast", "metadata": {}, "outputs": [ { "data": { "image/png": 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u+VmXT1eNG6+ocRhqy3hkXeZ5lm3RsEuaft51dhgEo21btvtA5BmCtEcFcYp+Cuhy4KbgE0CPApfGPdHMTmTwcc/z3X3ezC4D7mLwMdAb3f2htDMtq+iXUfDDoqbZxMZWZt+S2h+njH5VvXzy9CvrPPKIa1eZ41EkIKqedxXTjetPG7e/+eDUUFQIQPSp4rxB0KmfhDzqhDX+SxuviH08qvDXUfTzKGsDa0t/RuXpWxv6kaXdbWhvk8Jj1cXxqCLkyhqH0bZFHaWMe78wHAT/9F8+Mrk/Cdmlwj+U9Ugh7jVt1JV2hnW13U2YhLHKcpowz3SKGB4FAIcdCUD8KaGhtB+D7XQAdLHwJ+lSW0UmVZ+2w04GwKQVfhGRJHmOAtLo3E9CqviLiAwU/eh4pwJgwcuHn9caLf7z+/ar+IvIRAjXsrhPLBUJgU4FQFi4+IuITLKyQ6CzAdCWL6uIiFSl6h3bzgbA6Bsi2vsXkUmV9lRQHp0NgFFVfmtRRKRpVe3kdioAXl186LfbRo8CFAIiMsmqCIFOBQAc/hXocAgoCERkEiXVtrzfB+jkF8GeP3XRIe96D0NgeG4saqD0PoGITKIiXwbrZABA9I82hL8pN/pmSZojA4WEwORck0maV8ZF85IuDBdX/NNeFbSzATAq7hd8slzre3rnbO7TR1UVhKYuStWFq3k2eapvEq6E2aQ2X4Uzr7R9ytv3sgv/a+3J1ZqGvDo96GDSle7SHA5FfWkizw9DJJ1ygnJ+0ALGt21cO4qIm3f4o2hVHWGlmW5Tv2AWN+5lLfe2KusqmmX+GEvZv6GQZ5nUsR6WVfiHOhUAQ+HOpr306VCRc2ZZjjCy/WR9/hWoiQKYdZ5xR1jhDTTqOVX2L8+6EHfK8TXrZzr1E5yZxfSvrH5ELZO8O21Zt8Es005SZL1K+9qiPwcJHQ2AsDIGIm2IZFmwy8i+EhW9ul/bpCmWo+YSptWWsRnXjmW7D2QuIG3pW1pR63aVfchbUMsIpbqWTdJ8yqhxUSYiAMpQZIDjwqOsFSdv27IeGWWdV5rp17HxVLVxpBUeh64V8zzy9LGK5VT0dHAZml7/ilAAlKCtK0DV7aoymNo6plG61NZJo7EvZmID4MBJSScTqrNoT96zjodqqv1Z5elvmRttm8aprGU/CepeLk2MfZvWvVFZxmLiAqDphdL0/OuWt79JK2lXx7Cr7Z4EGvt8OhUAC+YGpw/i9iC1EnRHE8tq7cwzhV7/2OwJJbVE+mTcelf2enXgpLnURwG5A8DMFgPfAhYF09nq7n9qZtcBv8XgAx27gUvd/bmI158HfAZYANzg7temnXdSCKRRtBDkEbeQm2hLWdpQEOscvzTzasOY1KVN627d415m39NOq4o+FjkCOAC8w91fMrOFwP8xs78D7gaucfd5M/sEcA1w1egLzWwB8FngXcAscL+Z3ebuD+duzJg9yqZX1qbnX4Usfcq78nZt3LrW3knRh3Ef7WNZYZA7ANzdgZeCmwuDf+7uXxl52r3ABREvPxvY5e6PApjZLcBGIDEAon4TOI0+rBxtp2UgUp61M8+kDoGkT90Vuhy0mS0ws+8C+4G73f2+0FM+APxdxEtXA0+M3J4N7sslae9fhUdEJlFSbRutiUmnywsFgLu/6u6/AswAZ5vZmcPHzOxPgHngpoiXRrUoMqbMbJOZbTOzbQf8Z0D6jxGq+IvIJCta40r5QZjgTd57gPMAzOwS4D3Avw1OFYXNAmtGbs8AT8VMe7O7b3D3DVNHHnXY4/rkj4hIPrkDwMxOMLPlwd9HAu8Edgaf7rkKeK97sMt+uPuB08xsnZlNAxcBt42b5/BqoCIikizNznGRI4BVwDfM7EEGBf1ud78d+EvgGOBuM/uumV0PYGYnmtmdAO4+D1wG3AXsALa4+0NZGzCug336SJ6I9E/RGlfkU0APAm+MuP8XY57/FHD+yO07gTvzzl+6K8tKq/dxRKKl2Y7GfSmsU98EzmN0kFRMylPX0VXa+TS9bPOMR91tLrrMujjGdalrbMoeg84GQJ43f+tcgcpeIcpo+yR/kzVru+v+en5T8yhTVHvLWM+7Ng5RutqHzgbAoj3Trf4EUBtXiDa2qSkai3JoHLutswEA7Q8ByS/uvKWWdzWixltj3X3jLgrX6QCAQztYxgqb9briTW4kdRbJtlzrvi3B0MTvPgznWaSvWdrd1FjXMbZ1rM9d+E2SzgfAqCaKVNp5pl0ZyuhDW4p1nbra5zztbrqv4flnLXR1tb9t49RGExUAbdaFlaFK4QtSJX2hL+1vGbfxS4GjbW9j+8LKGOs61+0s61FZ86hqPm2gACDfj6ePU/YKU6SNdf6ofJ3TzlMM4uabdoyytLvK8YtSpP9ZX1fW+l10jJJeH9fGPPMse1lmHb+i622cTgXA8BfBuiDrXkTbi21Tlu0+EPvY86cuOuR2kX52eYyG8vQhaXyHwuMcNa8qAjTJsN1RbStjXst2H0icdlFljUPRo5VOBUCV0mwIacWtOGWv/EXaUsW86pamCCS9bijPGBUZl6LtLTq9uGlO75x97e+59TORzy173S66fhVdlknzr2LdL2t7LCv4JioAsq4McQt4eufsIRtA1e1I06Y621LVuAwLTNZpjBamUcPppNkosmzoUdMpc7lUvYwhfizGFf6o++LCIGk+SYr2P9zepPaVOe0ylLXsy1gOABZ9teZ2OuqENf5LG6947XaZG1JckRkVXhmSXhO34oQXVN4+pGnvuLaUMZ+kaecZ07jXz+/bf8hjUytXjH192jblGZ8s41/HvIpONzy+cHCM084n6w7XuGBP89y0bUuSd1nmUfa2GJ5e3DJ44PN/9IC7bwjf36kAWHrMjL9pw4cSnxO355LmNXFFpoiy9nbTGG1/1o03qR1ljEuRaUQVp9FpFFnOo+0YN524ZTOufXVLMx7jiv/QuD6UFTxF14fw6/Msy6aWY9GdqLhpjIbBRAdA3r3UMjaCtK/LukKm2TCS5h3XjjTtKas4pGlfmo0rTRvSjm/W4pGlUKSVtaDkXc5F1/sy5pV13kXW9yKFOu8Y5xm/vO0ssiP09Xs+OnkBEFc0RxUtMEXFFd+se5NVtSVJlrYMp132BpF1o086TVckzNK0JY+o+dYVMGX1J+2OTpbgyVtoq1zHq1DWejcuBCYiAJYtXOFvOf7CyMeq3lMtoukQCmtbe4aq3uiL7EE2XSjyqHO9z3IU1cWx7IKkEIgLgIn4FFCRFaqOlXF+3/5WFZdxp5ea2kDzznfc+KaddtR0ulysksal7H6F59XEEa4MZPm0XecDIO+GXbeootv0xhBuU9PtqUqWfk3aGNS57rdtR6dv0obwqE4FgM/PH3K76ArVxArZxo2gjW3KKuqTPZPQrzKEC0OV4xIXAloW7dSpAIBqTxPIZFCxOVydY6Lxb07WOndEhW1pHa2YIiIH9SoA4GAIKAxEZBJlqW2FAsDMbjSz/Wb2g9D9l5vZI2b2kJl9Mua15wXP2WVmVxdpR1Yq/iIixY8A/go4b/QOM/tXwEbgDe7+y8Cnwi8yswXAZ4F3A2cAv2tmZxRsi4iIcOhObtIOb6EAcPdvAT8J3f0fgGvd/UDwnKi5nw3scvdH3X0OuIVBaIiISAnm9+0fe7ajivcAXg/8SzO7z8y+aWZvinjOauCJkduzwX0iIlKTKj4GOgUcC5wDvAnYYman+KHXnIj6yZrIa1KY2SZgE8BilpTcVBGR/qriCGAWuNUH/hH4OXB8xHPWjNyeAZ6Kmpi7b3b3De6+YSHV/USbiEjfVBEA/xt4B4CZvR6YBp4NPed+4DQzW2dm08BFwG0VtEVERGIU/RjozcC3gdPNbNbM/gC4ETgl+GjoLcAl7u5mdqKZ3Qng7vPAZcBdwA5gi7s/VKQtIiKSTacuB73UjvM327lNN0NEpFO+6lsjLwfdu28Ci4jIgAJARKSnFAAiIj2lABAR6SkFgIhITykARER6SgEgItJTCgARkZ5SAIiI9JQCQESkpxQAIiI9pQAQEekpBYCISE8pAEREekoBICLSUwoAEZGeUgCIiPSUAkBEpKcUACIiPaUAEBHpKQWAiEhPKQBERHpKASAi0lOVBYCZXWFmD5nZD8zsZjNbHHrczOwvzGyXmT1oZmdV1RYRETlcJQFgZquB/whscPczgQXARaGnvRs4Lfi3CfhcFW0REZFoVZ4CmgKONLMpYAnwVOjxjcCXfOBeYLmZraqwPSIiMqKSAHD3J4FPAXuAvcDz7v6V0NNWA0+M3J4N7juEmW0ys21mtu0VDlTRXBGRXqrqFNCxDPbw1wEnAkeZ2cXhp0W81A+7w32zu29w9w0LWVR+Y0VEeqqqU0DvBH7k7s+4+yvArcBbQs+ZBdaM3J7h8NNEIiJSkaoCYA9wjpktMTMDzgV2hJ5zG/C+4NNA5zA4TbS3ovaIiEjIVBUTdff7zGwrsB2YB74DbDazDwaPXw/cCZwP7AJ+BlxaRVtERCSauR922r21ltpx/mY7t+lmiIh0yld96wPuviF8v74JLCLSUwoAEZGeUgCIiPSUAkBEpKcUACIiPaUAEBHpKQWAiEhPKQBERHpKASAi0lMKABGRnlIAiIj0lAJARKSnFAAiIj2lABAR6SkFgIhITykARER6SgEgItJTCgARkZ5SAIiI9JQCQESkpxQAIiI9pQAQEempygLAzBaY2XfM7PaIx8zM/sLMdpnZg2Z2VlXtEBGRaFUeAXwY2BHz2LuB04J/m4DPVdgOERGJUEkAmNkM8JvADTFP2Qh8yQfuBZab2aoq2iIiItGqOgL4c+BK4Ocxj68Gnhi5PRvcdxgz22Rm28xs2yscKLWRIiJ9VnoAmNl7gP3u/kDS0yLu86gnuvtmd9/g7hsWsqiUNoqISDVHAG8F3mtmjwG3AO8ws78OPWcWWDNyewZ4qoK2iIhIjNIDwN2vcfcZd18LXAR83d0vDj3tNuB9waeBzgGed/e9ZbdFRETiTdU1IzP7IIC7Xw/cCZwP7AJ+BlxaVztERGSg0gBw93uAe4K/rx+534EPVTlvERFJ1utvAk+tXMHUyhVNN0NEpBG9DgARkT5TAMhE0VGdSHoKAGmcCrZIMxQA0igVf5Hm9D4A5vftb7oJgoJApAm9DgAVfxHps14HgIhInykARER6SgEgjdF5f5FmKQBERHpKASAi0lMKAGkFfSJLpH4KABGRnlIASGOGe/1l7/3raEIkHQWATBQVf5H0FADSKBVskeYoAEREekoBICLSUwoAEZGeUgCIiPSUAkBEpKcUACIiPaUAEBHpKXP3ptuQmpm9CDzSdDta4njg2aYb0RIai4M0FgdpLA462d1PCN851URLCnjE3Tc03Yg2MLNtGosBjcVBGouDNBbj6RSQiEhPKQBERHqqawGwuekGtIjG4iCNxUEai4M0FmN06k1gEREpT9eOAEREpCSdCAAzO8/MHjGzXWZ2ddPtqZqZrTGzb5jZDjN7yMw+HNx/nJndbWY/DP4/duQ11wTj84iZ/evmWl8NM1tgZt8xs9uD270cCzNbbmZbzWxnsH78ix6PxRXB9vEDM7vZzBb3dSxyc/dW/wMWALuBU4Bp4HvAGU23q+I+rwLOCv4+Bvgn4Azgk8DVwf1XA58I/j4jGJdFwLpgvBY03Y+Sx+QjwN8Atwe3ezkWwBeBfxf8PQ0s7+NYAKuBHwFHBre3AO/v41gU+deFI4CzgV3u/qi7zwG3ABsbblOl3H2vu28P/n4R2MFghd/IoAAQ/P/bwd8bgVvc/YC7/wjYxWDcJoKZzQC/CdwwcnfvxsLMlgK/BnwewN3n3P05ejgWgSngSDObApYAT9HfscilCwGwGnhi5PZscF8vmNla4I3AfcBKd98Lg5AAVgRPm/Qx+nPgSuDnI/f1cSxOAZ4BvhCcDrvBzI6ih2Ph7k8CnwL2AHuB5939K/RwLIroQgBYxH29+OiSmR0N/C3wn9z9haSnRtw3EWNkZu8B9rv7A2lfEnHfRIwFgz3es4DPufsbgf/H4DRHnIkdi+Dc/kYGp3NOBI4ys4uTXhJx30SMRRFdCIBZYM3I7RkGh3oTzcwWMij+N7n7rcHd+8xsVfD4KmD4g7qTPEZvBd5rZo8xOP33DjP7a/o5FrPArLvfF9zeyiAQ+jgW7wR+5O7PuPsrwK3AW+jnWOTWhQC4HzjNzNaZ2TRwEXBbw22qlJkZg/O8O9z90yMP3QZcEvx9CfDlkfsvMrNFZrYOOA34x7raWyV3v8bdZ9x9LYNl/3V3v5h+jsXTwBNmdnpw17nAw/RwLBic+jnHzJYE28u5DN4r6+NY5Nb6i8G5+7yZXQbcxeATQTe6+0MNN6tqbwV+H/i+mX03uO+jwLXAFjP7AwYbwIUA7v6QmW1hUAzmgQ+5+6u1t7pefR2Ly4Gbgp2hR4FLGezI9Wos3P0+M9sKbGfQt+8w+Obv0fRsLIrQN4FFRHqqC6eARESkAgoAEZGeUgCIiPSUAkBEpKcUACIiPaUAEBHpKQWAiEhPKQBERHrq/wNIZLCto9Lx2QAAAABJRU5ErkJggg==", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = plt.contourf(t, np.log2(period), np.log2(power), np.log2(levels),\n", " extend='both', cmap=plt.cm.viridis)\n", "Yticks = 2 ** np.arange(np.ceil(np.log2(period.min())),\n", " np.ceil(np.log2(period.max())))\n", "plt.yticks(np.log2(Yticks), labels = Yticks);" ] }, { "cell_type": "markdown", "id": "single-mathematics", "metadata": {}, "source": [ "# Wavelet analysis of saltwater inflows to the Baltic Sea" ] }, { "cell_type": "markdown", "id": "polished-particle", "metadata": {}, "source": [ "In the lecture you have already learned something about the properties of saltwater inflows from the North Sea into the Baltic Sea. We now want to perform wavelet analysis on these inflows to check whether there is any periodicity. As raw data we use the major baltic inflow (MBI) time series prepared by Volker Mohrholz ranging from 1887 to 2021. Make sure you have the file \"salt_import_DS5_ann_norm.txt\" in your folder. It lists the annual salt import from MBIs in Gt. Possible linear trends have been removed and the salt import has been normalized by dividing it by its standard deviation (that is common data preprocessing for wavelet analysis). If you are not in your own working directory, type ```import os``` and ```os.chdir(\"/students_files/your_surname/\")``` to get in your directory before you read in the data." ] }, { "cell_type": "markdown", "id": "reduced-oasis", "metadata": {}, "source": [ "### **Exercise**: Read in the file using the function np.loadtxt() and call the resulting numpy array \"saltimport\". Define a numpy array \"years\" ranging from 1887 to 2022 and plot the salt import." ] }, { "cell_type": "code", "execution_count": 39, "id": "ranking-monkey", "metadata": {}, "outputs": [], "source": [ "saltimport = np.loadtxt(\"salt_import_DS5_ann_norm.txt\")" ] }, { "cell_type": "code", "execution_count": 40, "id": "faced-polyester", "metadata": {}, "outputs": [], "source": [ "years = np.arange(1887, 2022, 1)" ] }, { "cell_type": "code", "execution_count": 41, "id": "reflected-floating", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#plot saltimport versus years\n", "plt.plot(years, saltimport)" ] }, { "cell_type": "markdown", "id": "alternate-sharp", "metadata": {}, "source": [ "For a first check on whether the time series exhibits any kind of low frequency variability, we can calculate a running mean, e. g. 11-year running mean:" ] }, { "cell_type": "code", "execution_count": 42, "id": "printable-cincinnati", "metadata": {}, "outputs": [], "source": [ "def moving_average(x, w):\n", " return np.convolve(x, np.ones(w), 'valid') / w" ] }, { "cell_type": "code", "execution_count": 43, "id": "enormous-equation", "metadata": {}, "outputs": [], "source": [ "saltimport_11 = moving_average(saltimport, 11)" ] }, { "cell_type": "code", "execution_count": 44, "id": "overall-variation", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(years[5:-5], saltimport_11)" ] }, { "cell_type": "markdown", "id": "reserved-stick", "metadata": {}, "source": [ "This looks indeed as if there is some variability on a time scale of 20 to 30 years at least since about 1920. Wavelet analysis will hopefully tell us more." ] }, { "cell_type": "markdown", "id": "fifty-headset", "metadata": {}, "source": [ "### **Exercise**: Now calculate the wavelet (with wavelet.cwt() as before) and plot its power." ] }, { "cell_type": "code", "execution_count": 45, "id": "interracial-productivity", "metadata": {}, "outputs": [], "source": [ "#calculate wavelet\n", "wave, scales, freqs, coi, fft, fftfreqs = wavelet.cwt(saltimport, dt, dj, s0, J, mother)\n", "period=1/freqs\n", "power = (np.abs(wave))**2" ] }, { "cell_type": "code", "execution_count": 46, "id": "endangered-investment", "metadata": {}, "outputs": [], "source": [ "levels = [0.25, 0.5, 1, 2, 4, 8, 16]" ] }, { "cell_type": "code", "execution_count": 47, "id": "architectural-error", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#plot wavelet power spectrum\n", "fig, ax = plt.subplots()\n", "im = plt.contourf(years, np.log2(period), np.log2(power), np.log2(levels),\n", " extend='both', cmap=plt.cm.viridis)\n", "Yticks = 2 ** np.arange(np.ceil(np.log2(period.min())),\n", " np.ceil(np.log2(period.max())))\n", "plt.yticks(np.log2(Yticks), labels = Yticks);" ] }, { "cell_type": "markdown", "id": "amber-medicine", "metadata": {}, "source": [ "### **Question**: How would you interpret this figure?" ] }, { "cell_type": "markdown", "id": "hidden-aside", "metadata": {}, "source": [ "## Cone of influence" ] }, { "cell_type": "markdown", "id": "august-verse", "metadata": {}, "source": [ "The edges of the spectrum are difficult to interpret since our time series is finite (but the Fourier transform requires an infinitely periodic function). In order to see in which regions edge effects play a role, we can define a so-called \"cone of influence\". Let's plot the last figure again including the cone of influence:" ] }, { "cell_type": "code", "execution_count": 48, "id": "local-defense", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1.0, 7.0)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = plt.contourf(years, np.log2(period), np.log2(power), np.log2(levels),\n", " extend='both', cmap=plt.cm.viridis)\n", "plt.fill(np.concatenate([years, years[-1:] + dt, years[-1:] + dt,\n", " years[:1] - dt, years[:1] - dt]),\n", " np.concatenate([np.log2(coi), [1e-9], np.log2(period[-1:]),\n", " np.log2(period[-1:]), [1e-9]]),\n", " 'k', alpha=0.3, hatch='x')\n", "Yticks = 2 ** np.arange(np.ceil(np.log2(period.min())),\n", " np.ceil(np.log2(period.max())))\n", "plt.yticks(np.log2(Yticks), labels = Yticks)\n", "plt.ylim(1, 7)" ] }, { "cell_type": "markdown", "id": "revised-industry", "metadata": {}, "source": [ "This shows that especially wavelet power at very low frequencies has to be interpreted carefully." ] }, { "cell_type": "markdown", "id": "junior-beginning", "metadata": {}, "source": [ "## Global power spectrum" ] }, { "cell_type": "markdown", "id": "persistent-clarity", "metadata": {}, "source": [ "If you average the wavelet power spectrum along the time axis, you get the so-called \"global power spectrum\". Not very surprisingly (since both of them live in frequency space), it is comparable to the Fourier spectrum (more precisely a smoothed version of it) as you can see below." ] }, { "cell_type": "code", "execution_count": 49, "id": "shaped-wagner", "metadata": {}, "outputs": [], "source": [ "global_power = power.mean(axis=1)" ] }, { "cell_type": "code", "execution_count": 50, "id": "italic-evidence", "metadata": {}, "outputs": [], "source": [ "fft_power = (np.abs(fft)) ** 2" ] }, { "cell_type": "code", "execution_count": 51, "id": "prime-thompson", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(global_power, np.log2(period), label = \"global wavelet power\")\n", "plt.plot(fft_power, np.log2(1/fftfreqs), alpha = 0.5, label = \"Fourier spectrum\")\n", "plt.yticks(np.log2(Yticks), labels = Yticks)\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "trying-browse", "metadata": {}, "source": [ "## Noise" ] }, { "cell_type": "markdown", "id": "better-tuner", "metadata": {}, "source": [ "Let's find out how the wavelet power spectrum of noise looks like." ] }, { "cell_type": "code", "execution_count": 52, "id": "clinical-catch", "metadata": {}, "outputs": [], "source": [ "noise = np.random.normal(0, 0.1, 1000)" ] }, { "cell_type": "code", "execution_count": 53, "id": "original-hunger", "metadata": {}, "outputs": [], "source": [ "wave, scales, freqs, coi, fft, fftfreqs = wavelet.cwt(noise, dt, dj, s0, J, mother)" ] }, { "cell_type": "code", "execution_count": 54, "id": "proper-tribune", "metadata": {}, "outputs": [], "source": [ "power = (np.abs(wave)) ** 2" ] }, { "cell_type": "code", "execution_count": 55, "id": "several-method", "metadata": {}, "outputs": [], "source": [ "period = 1/freqs" ] }, { "cell_type": "code", "execution_count": 56, "id": "higher-diagram", "metadata": {}, "outputs": [], "source": [ "levels = [0.015625, 0.03125, 0.0625, 0.125, 0.25, 0.5, 1]" ] }, { "cell_type": "code", "execution_count": 57, "id": "defensive-refund", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "([,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ],\n", " [Text(0, 2.0, '4.0'),\n", " Text(0, 3.0, '8.0'),\n", " Text(0, 4.0, '16.0'),\n", " Text(0, 5.0, '32.0'),\n", " Text(0, 6.0, '64.0'),\n", " Text(0, 7.0, '128.0'),\n", " Text(0, 8.0, '256.0')])" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = plt.contourf(t, np.log2(period), np.log2(power), np.log2(levels),\n", " extend='both', cmap=plt.cm.viridis)\n", "Yticks = 2 ** np.arange(np.ceil(np.log2(period.min())),\n", " np.ceil(np.log2(period.max())))\n", "plt.yticks(np.log2(Yticks), labels = Yticks)" ] }, { "cell_type": "markdown", "id": "exclusive-palestine", "metadata": {}, "source": [ "You see that there is another challenge when it comes to interpreting wavelet power spectra - you have to distinguish what is \"real\" periodicity and what is just caused by noise." ] }, { "cell_type": "markdown", "id": "classified-notification", "metadata": {}, "source": [ "# Wavelet coherence (advanced)" ] }, { "cell_type": "markdown", "id": "superb-steel", "metadata": {}, "source": [ "Let's get back to our salt import time series. We might wonder what causes the periodicities in the time series. As you maybe remember from the lectures, the river runoff to the Baltic Sea has an impact on the saltwater inflows. Let's find out how the wavelet power spectrum of annual mean river runoff looks like." ] }, { "cell_type": "code", "execution_count": 58, "id": "sized-training", "metadata": {}, "outputs": [], "source": [ "runoff = np.loadtxt(\"runoff_ann_norm.txt\")" ] }, { "cell_type": "code", "execution_count": 59, "id": "associate-alignment", "metadata": {}, "outputs": [], "source": [ "years2 = np.arange(1850, 2009, 1)" ] }, { "cell_type": "code", "execution_count": 60, "id": "velvet-argentina", "metadata": {}, "outputs": [], "source": [ "wave, scales, freqs, coi, fft, fftfreqs = wavelet.cwt(runoff, dt, dj, s0, J, mother)" ] }, { "cell_type": "code", "execution_count": 61, "id": "respiratory-medicine", "metadata": {}, "outputs": [], "source": [ "power = (np.abs(wave)) ** 2" ] }, { "cell_type": "code", "execution_count": 62, "id": "floral-gender", "metadata": {}, "outputs": [], "source": [ "period = 1/freqs" ] }, { "cell_type": "code", "execution_count": 63, "id": "foreign-priest", "metadata": {}, "outputs": [], "source": [ "levels = [0.25, 0.5, 1, 2, 4, 8, 16]" ] }, { "cell_type": "code", "execution_count": 64, "id": "tired-external", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = plt.contourf(years2, np.log2(period), np.log2(power), np.log2(levels),\n", " extend='both', cmap=plt.cm.viridis)\n", "Yticks = 2 ** np.arange(np.ceil(np.log2(period.min())),\n", " np.ceil(np.log2(period.max())))\n", "plt.yticks(np.log2(Yticks), labels = Yticks)\n", "plt.ylim(1, 7)\n", "plt.fill(np.concatenate([years2, years2[-1:] + dt, years2[-1:] + dt,\n", " years2[:1] - dt, years2[:1] - dt]),\n", " np.concatenate([np.log2(coi), [1e-9], np.log2(period[-1:]),\n", " np.log2(period[-1:]), [1e-9]]),\n", " 'k', alpha=0.3, hatch='x')" ] }, { "cell_type": "markdown", "id": "thousand-district", "metadata": {}, "source": [ "Indeed, the wavelet power spectrum shows power between 16 and 32 years. In order to really find out whether the salt import and the river runoff vary on comparable time scales, we can compute the so-called \"wavelet coherence\" (or cross-correlation). Note: The time ranges of the two time series are different." ] }, { "cell_type": "code", "execution_count": 65, "id": "armed-namibia", "metadata": {}, "outputs": [], "source": [ "years3 = np.arange(1887, 2009, 1)" ] }, { "cell_type": "code", "execution_count": 66, "id": "forbidden-saskatchewan", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NOTE: WCT significance loaded from cache.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/students_files/.local/lib/python3.7/site-packages/pycwt/wavelet.py:562: RuntimeWarning: invalid value encountered in arctanh\n", " aa = np.round(np.arctanh(np.array([al1, al2]) * 4))\n" ] } ], "source": [ "WCT, aWCT, corr_coi, freq, sig = wavelet.wct(runoff[37:], saltimport[:122], dt, dj, s0=-1, J=-1,\n", " significance_level=0.8646,\n", " wavelet='morlet', normalize=True,\n", " cache=True)" ] }, { "cell_type": "code", "execution_count": 67, "id": "round-visitor", "metadata": {}, "outputs": [], "source": [ "cor_period = 1 / freq" ] }, { "cell_type": "code", "execution_count": 68, "id": "protective-hypothetical", "metadata": {}, "outputs": [], "source": [ "extent_corr = [years3.min(), years3.max(), 0, max(cor_period)]" ] }, { "cell_type": "code", "execution_count": 69, "id": "affiliated-wichita", "metadata": {}, "outputs": [], "source": [ "from matplotlib.image import NonUniformImage" ] }, { "cell_type": "code", "execution_count": 74, "id": "choice-sphere", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "([,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ],\n", " [Text(0, 1.0, '2.0'),\n", " Text(0, 2.0, '4.0'),\n", " Text(0, 3.0, '8.0'),\n", " Text(0, 4.0, '16.0'),\n", " Text(0, 5.0, '32.0'),\n", " Text(0, 6.0, '64.0')])" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = NonUniformImage(ax, interpolation='bilinear', extent=extent_corr)\n", "im.set_data(years3, cor_period, WCT)\n", "levels = np.linspace(0, 1, 11)\n", "\n", "im = ax.contourf(years3, np.log2(cor_period), WCT, levels,\n", " extent=extent_corr, cmap=plt.cm.viridis, antialiased = True)\n", "ax.fill(np.concatenate([years3, years3[-1:]+dt, years3[-1:]+dt, years3[:1]-dt, years3[:1]-dt]),\n", " np.concatenate([np.log2(corr_coi), [1e-9], np.log2(cor_period[-1:]), np.log2(cor_period[-1:]),\n", " [1e-9]]), 'k', alpha=0.3, hatch='x')\n", "ax.set_title('Cross-Correlation')\n", "ax.set_ylim(1, 7)\n", "Yticks = 2 ** np.arange(np.ceil(np.log2(cor_period.min())),\n", " np.ceil(np.log2(cor_period.max())))\n", "ax.set_xlim(years3.min(), years3.max())\n", "plt.yticks(np.log2(Yticks), labels = Yticks)\n" ] }, { "cell_type": "markdown", "id": "equivalent-agriculture", "metadata": {}, "source": [ "This shows us, at what times and in which frequency ranges the two time series are correlated. However, we do not know whether their wavelets actually have noticable power there. To find that out, we can also determine the so-called \"common wavelet power\".\n" ] }, { "cell_type": "code", "execution_count": 75, "id": "considerable-delight", "metadata": {}, "outputs": [], "source": [ "W12, cross_coi, freq, signif = wavelet.xwt(runoff[37:], saltimport[:122], dt, dj=1/12, s0=-1, J=-1,\n", " significance_level=0.8646,\n", " wavelet='morlet', normalize=True)" ] }, { "cell_type": "code", "execution_count": 76, "id": "convinced-scoop", "metadata": {}, "outputs": [], "source": [ "cross_power = np.abs(W12)**2\n", "cross_period = 1/freq" ] }, { "cell_type": "code", "execution_count": 77, "id": "assigned-closer", "metadata": {}, "outputs": [], "source": [ "extent_cross = [years3.min(), years3.max(), 0, max(cross_period)]" ] }, { "cell_type": "code", "execution_count": 78, "id": "western-wyoming", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "([,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ],\n", " [Text(0, 1.0, '2.0'),\n", " Text(0, 2.0, '4.0'),\n", " Text(0, 3.0, '8.0'),\n", " Text(0, 4.0, '16.0'),\n", " Text(0, 5.0, '32.0'),\n", " Text(0, 6.0, '64.0')])" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = NonUniformImage(ax, interpolation='bilinear', extent=extent_cross)\n", "im.set_data(years3, cross_period, cross_power)\n", "levels = [0.015625/8., 0.015625/4., 0.015625/2., 0.015625, 0.03125, 0.0625, 0.125, 0.25, 0.5, 1, 2, 4, 8, 16, 32, 64]\n", "\n", "im = ax.contourf(years3, np.log2(cross_period), np.log2(cross_power), np.log2(levels),\n", " extent=extent_cross, cmap=plt.cm.viridis)\n", "ax.fill(np.concatenate([years3, years3[-1:]+dt, years3[-1:]+dt, years3[:1]-dt, years3[:1]-dt]),\n", " np.concatenate([np.log2(cross_coi), [1e-9], np.log2(cross_period[-1:]), np.log2(cross_period[-1:]),\n", " [1e-9]]), 'k', alpha=0.3, hatch='x')\n", "ax.set_title('Common wavelet power')\n", "ax.set_ylim(1, 7)\n", "Yticks = 2 ** np.arange(np.ceil(np.log2(cross_period.min())),\n", " np.ceil(np.log2(cross_period.max())))\n", "ax.set_xlim(years3.min(), years3.max())\n", "plt.yticks(np.log2(Yticks), labels = Yticks)" ] }, { "cell_type": "markdown", "id": "coated-cleaner", "metadata": {}, "source": [ "### **Question**: How would you interpret this graph? And what does it tell us about the cross-correlation?" ] }, { "cell_type": "markdown", "id": "prescription-graham", "metadata": {}, "source": [ "# Significance (advanced)" ] }, { "cell_type": "markdown", "id": "efficient-input", "metadata": {}, "source": [ "So far, we have looked at many different wavelet power spectra but we never cared about whether the power we see at a certain time and period is significant. And what does significance actually mean in this context? For this, let's get back to our salt import time series and re-plot the (global) wavelet power spectrum including significance levels." ] }, { "cell_type": "code", "execution_count": 79, "id": "insured-photograph", "metadata": {}, "outputs": [], "source": [ "wave, scales, freqs, coi, fft, fftfreqs = wavelet.cwt(saltimport, dt, dj, s0, J, mother)" ] }, { "cell_type": "code", "execution_count": 80, "id": "excessive-latter", "metadata": {}, "outputs": [], "source": [ "power = (np.abs(wave)) ** 2" ] }, { "cell_type": "code", "execution_count": 81, "id": "printable-feeling", "metadata": {}, "outputs": [], "source": [ "period = 1/freqs" ] }, { "cell_type": "code", "execution_count": 82, "id": "registered-disability", "metadata": {}, "outputs": [], "source": [ "alpha, _, _ = wavelet.ar1(saltimport)" ] }, { "cell_type": "code", "execution_count": 83, "id": "danish-delight", "metadata": {}, "outputs": [], "source": [ "signif, fft_theor = wavelet.significance(1.0, dt, scales, 0, alpha,\n", " significance_level=0.95,\n", " wavelet=mother)\n", "sig95 = np.ones([1, len(years)]) * signif[:, None]\n", "sig95 = power / sig95" ] }, { "cell_type": "code", "execution_count": 84, "id": "productive-perspective", "metadata": {}, "outputs": [], "source": [ "global_power = power.mean(axis=1)\n", "dof = len(years) - scales\n", "global_signif, tmp = wavelet.significance(1.0, dt, scales, 1, alpha,\n", " significance_level=0.95, dof=dof,\n", " wavelet=mother)" ] }, { "cell_type": "code", "execution_count": 85, "id": "creative-upper", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "([,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ],\n", " [Text(0, 1.0, '2.0'),\n", " Text(0, 2.0, '4.0'),\n", " Text(0, 3.0, '8.0'),\n", " Text(0, 4.0, '16.0'),\n", " Text(0, 5.0, '32.0'),\n", " Text(0, 6.0, '64.0')])" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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KhgZ71wKjgyqbgx2VzTS0ttN6jAfElPLeo7CavYnfYu76+cj37vOs0d732CipahKDx+Fw8Mgjj3D//ffjdrv53e9+x7x584iJkb6rjpvolVJm4DPA5Ft+mdZ6vlLqYeASoB3YA9yktW7sYf0LgMeBCGCx1vrBgQtfACilsJojsZojT6hDNkeHm6a2QwWC993W1kGzw0WzowObw4XNcfh7pc3Brmrv52aH66i/Ig4x+AqLQwVC10Kjc1p090LDekRBIoWF6C2bzcbDDz/MBRdcwF/+8heGD5fxJA45btWN8v6VxWqtW5RSkcBK4HbACnyktXYppR4C0FrPO2LdCGAnMAsoA9YC12qtvznWPsO56iZYaK1p63B3KxQOfe76fqjgsHWd5zy0jAv3CRQW1uhILCYjsaYI4syRxJmMxJkiiDNFEmuK8FY5mYy+5Q9/jjN5P0fK+AIhZ8uWLTz77LM88sgjGAwGysvLycrKCnRYAdGvqhvtLQlafF8jfS+ttV7RZbHVwJU9rD4N2K213usLZClwGXDMRC+GPqUUMVFGYqKMpFvNfdrGocLC1ta1sDhcCHQtNA7Na3G6qGlxsq/WTovTTYuzA0eHp1f7MxkNWMyHE/+hQiDOVyhYuk43dy8kjiw45AZ3YNXX1zN//nwWLVqE1WrllltuoaioKGyT/PH0qo7ed2VeDIwE/qq1XnPEIj8B/tXDqsOA0i7fy4BTj7KP2cBsgNzc3N6EJYJc18IiI75vhQV4u5q2O920tLtocbhocXpfdqf3e/Ohz4deDu/3ZqeLSpuDlhrfd4cLp6t3hUZ0ZMQRhYH3l0Wc6dB032eTsfPXx6FCJs7sLVTizEZpMnuCXC4Xf/vb35g/fz6NjY3ceuut/OEPfwjb1jS91atEr7V2A5OUUgnA/ymlxmuttwAopf4bcAEv9bBqT/+De/ytrrV+BngGvFU3vYlLCABjhIH4GAPxMZH93laH29OZ9O09FBzNDpe3UHF2+H5RuGhxdGB3ujnY2NatQGnvRaERYVCdhUXXgqDbd1Nkt8Kha2FhMXvnxURGhEUrKZfLxaOPPsqkSZN47LHHOOmkkwIdUlA4oVY3WutGpdQnwAXAFqXUjcDFwEzdc2V/GdB13K1soLyPsQrhd5ERBhJ8zyf0V7vL062A8BYAh6umDv26aOmc762aarC3U1Lf2jnvWK2jDlEK4qK6FwS9KSys5i7zfPOH2i+MPXv28OCDD/L4448TExPDl19+SXp6+pCLcyjrTaubVKDDl+SjgfOAh3ytaeYBZ2utW4+y+lqgUCk1HDgIXANcNzChCzG0RRkNJBmj+j2gjcvtwd7u7rxHcag6qqVLYXH4e0eXgsNFZZOj2/fjMRrUcR/CO/Sk9qFpCTFRfrln0dzczP3338+jjz5KZGQkN954I9OnTycjI+P4K4tuenNFnwm84KunNwCvaK3fVkrtxtvk8n1fybpaa32LUioLbzPKi3wtcuYA7+FtXvmc1nqrfw5FiNBkjDAQH20gPrp/VVMej/ZWRx2lsOhsatva4Xv+op0Dda1sLG2kobWdDvfRH8qzmiM7k763YDj6Q3mH5h+t91ePx8OSJUu45557qKys5MYbb+T++++XG639IE/GCiGOS2uNvd1Ng73Lw3hdHshrbG2nvvOJbu9zGY2t7diPUe0UExXRWQCkWUxMyU3ktIJkThpmZdZ3zqWjo4OFCxeGbB/xA02ejBVC9ItSh28a5yT1fj2ny93lKe0jntzu8tT23gNlLHt8PvHTryMuMYVxP7iXs8bnQ2oqTpdbxn7oJ0n0Qgi/MRkjSLdGHPVZi/b2dhYuXMiyRxbgdDi48Uc/IKowlzV763n8o9089uFuTEaD92p/RDLXnZp7Qt2DCC9J9EKIgHj//ff51a9+xfbt27n44ov588N/ITJpGLuqmkmI9tblr9xdi9PlYdXeOlbtrcMYofjluSMDHXrQkUQvhBhUbo+mpL6VBxc+Ta2tlYvnPk5H1iQuW7KXdvduwHuDNycxhvPGpDEyzcKo9DhGpVsYm2kNcPTBSRK9EGJAeDya+tZ2qm1OqpodVNscVNmcVPneK+ttbFr+T3TuFIypw3EXXEVM0Q9pSI5nVEI0ZxelMirNwqh0CwVpsTL62gCSf0khxDFprb1dXDcfTtzVNgfVzYeT+KHvPfVomhQbheHgZna+8TjNVaXMuj6Wm6+8jFHpFkamxRFrkjTkb/IvLIRAa83Bxja2VTTzTbmNnVXNVDS1Ud3spNrmpN397e4c4qMjSbeaSLeaKUhN6fycbjWRZjWTZjHhbKrhnrl3sWzZMgoLC3n1hXc5//zzA3CE4U0SvRBhxulys6uqhW8qbHxTbmNbhfdlcxx+cjYvOYZhCdGckp9EmtVEusV8OIlbzKRZTZgjj9/k8fePP8/bb7/Nfffdx1133YXJJC1mAkEemBIixO2obObTndW+pN7MnpqWziqW6MgIijIsjM2yMibTythMK6MzLP2qTlmzZg1Op5MZM2bQ1tZGZWWlDAIyCOSBKSHC2K9f2cjWchsJMZFMyU3kvLFpnUk9Lzl2wPqpsdls/Pa3v+Wpp55i+vTpfPbZZ0RHR0uSHwIk0QsR4h66YgI3PvcVAHeeN4qTsuMHfB9vvPEGc+bMoby8nDlz5nDfffcN+D5E38nYakKEuPHD4nn1ltMxR0ZwzTOreOfrigHd/rvvvsv3v/99UlJSWL16NQsXLsRqlfbuQ4kkeiHCwIjUOF679QxGplu49aX1LHjrm14NjHI0Wmt27doFwHe/+11efPFF1q5dKx2QDVGS6IUIExnxZl6++VSmj0zhuS/2cc0zq2jrxaAmR9q/fz/f/e53mTp1KpWVlRgMBm644QYiI/s/wpfwD6mjFyKEVTY52FjawIaSRjaUNLL5YGPnYOpVNic2RwfRUb3rGVJrzdNPP83cuXMBePjhh0lLS/Nb7GLgSKIXIgQ4OtxU2RyUNzrYcrCJDb7kXtHkACAqwsC4YVaum5bH5NwEJucmMCwhutfD8TmdTi6++GI++OADzjvvPBYvXkxeXp4/D0kMIEn0QgxhHo+m1u6kqsnb3UClzeF9b3JQ1eykqsk7ramto9t62YnRTM1PYnKON6mPzbL2q093k8lEUVERV155JbNnz5bxWoOMJHohAqTF6fL2FeNL1pU2B9U2J5VNhxN6TQ/9xxgUpFq83Q3kJscwbXgSGfHeLgcy4s0UZVhIs/Tc//uJqK6uZs6cOdx7771MmDCBJ598st/bFIEhiV6IAeZ0uam2Oan2dQLmvfr2JvEqXwKvsjl7HKzbYjaSbjWTYTVTUODtPyYj3tw5Ld1qJiUuCmOEf9tRLF++nJtuuonGxkYuvfRSJkyY4Nf9Cf86bqJXSj0HXAxUa63Hd5l+GzAHcAH/0Vrf3cO6FwCP4x0YfLHW+sGBClyIweZye6izt3erOqnukrgPJfGG1o5vrRsVYfD2GWP1XnGfVZhKRrw3eadZTZ1JPNA9Oba1tXH33Xfz5JNPMmHCBD788EPGjx9//BXFkNab/1X/AJ4EXjw0QSl1LnAZMEFr7VRKfevWu1IqAvgrMAsoA9Yqpd7UWn8zEIELMdBsjg5K6lo5UNfKgXo7BxvauiXw2hYnR/bC27UaJTsxhpPzEjuvvtM6e3M0kxgTGRT12k899RRPPvkkd9xxBw888ABmc/+rgETgHTfRa60/U0rlHzH5VuBBrbXTt0x1D6tOA3ZrrfcCKKWW4i0cJNGLgNBaU9PiPJzM6+wcqPd+Lqlvpd7e3m35hJjIzivtMZkW0q1m0jqrULxJPDnW/9Uo/qa1prq6mvT0dG677TamTp3K2WefHeiwxADq6+/EUcBZSqk/AQ7gLq312iOWGQaUdvleBpzax/0J0StaayqaHOypaelM4Ptr7ZTUez+3dnlAyKAgMz6avOQYzh+XTl5yLHlJMeQmx5CbFIPFHPoPANlsNn7+85+zcuVKNm/eTGJioiT5ENTXRG8EEoHTgFOAV5RSI3T3Po97+p161D6RlVKzgdkAubm5fQxLhJPWdhc7KpvZXtnM9gob23zvXftVjzIayE2KIS8phjMKUshL9ibyvKQYshNjiDIG99V4f3z99ddcccUV7Nmzhz/+8Y/Exw98Z2diaOhroi8DXvcl9q+UUh4gBag5YpmcLt+zgfKjbVBr/QzwDHj7o+9jXCIEeTya0oZWtlU0s73Sxnbf+4H6Vg5dWsRGRTA608olE7MYnWllZGoc+SkxpFvMGAaoG95QsmTJEn7+858THx/Pxx9/zIwZMwIdkvCjvib6N4DvAJ8opUYBUUDtEcusBQqVUsOBg8A1wHV93J8IE63tLrZXNrPNN/rRNxU2dlQ2d1a5KAXDk2MZm2XlB1OyGZ1hYUymlWEJ0ZLQe8nj8bBkyRJOOeUU/vWvf5GRkRHokISf9aZ55cvAOUCKUqoMmA88BzynlNoCtAM3aq21UioLbzPKi7TWLqXUHOA9vM0rn9Nab/XXgYjgorWmptnJVt8wdoeS+r5ae+dVusVsZGymlf+amsOYTAujM6yMSrf0um8W0V1VVRUA6enpvPrqq8TGxmI0yqM04UCGEhR+p7WmrKGNTWWNfH2wqXOc0tqWw61cshOjGZtp7TakXXZi7/tiEcdWXFzM5ZdfzpgxY1ixYkWgwxF+IEMJikFVb29nU1kjm0q9r81lTdT5mi5GRRgoTI/j3KK0zqQ+JtNKfHTot3AJlGXLlvGjH/2I1NRUHnrooUCHIwJAEr3oF6fLzabSJjaXNbKxtJFNZY2U1rcB3vr0wrQ4zh2dxsScBCZlJ1CUYQnrli6DSWvN/fffz7333svpp5/OG2+8Id0KhylJ9KJP3B7N/204yKMrdlDu6wp3WEI0E3Piuf7UPCZkJ3BSdjxxAX6kP5zZbDaef/55fvjDH7J48WJ5yjWMyV+hOCFaaz7eUc1D7+xgR1UzE7Lj+d0lYzk5L4lUiynQ4QmgubkZk8lEfHw8q1evJjk5We51hDlJ9OKE/HxJMSu+qWJYQjRPXjeZ752UKUlkCKmqquLCCy9k8uTJPPvss6SkpAQ6JDEESGWpOCHJcVEoBTUtTr7YXce+WnugQxI+Bw4cYPr06ezYsYMrr7wy0OGIIUSaV4oTtq/Wzt8/38uy4jI63B6+Ozadq0/JYdrwZKmTD5Bt27Yxa9Ys7HY7//nPfzjjjDMCHZIYZMdqXimJXvRZTbOTF77cz4ur9mNzuDAaFJNzEzhzZApnFaYwITuByCDv2TEYdHR0MHr0aOx2OytWrJBBQsKUJHrhV44ON8UHGli5u5Yvdtfy9cEmtIY4k5HTRiRx5sgUpo9MYWRanNTn+8nnn39OWloaRUVFgQ5FBIgkejGoGlvbWbWnrjPx769rBeD0Ecn84bJxjEq3BDjC0LBp0ybWrl3Lz372s0CHIoYASfQioErrW3lvayVPfLQbu9PFj8/I5/bzCsOiv3d/2bZtG2effTZms5mtW7disUjhGe6OleilAlX4XU5SDD87awQf33UOV03NZvHKfXznkU+lxU4f7d27l5kzZxIREcGHH34oSV4clzSREINCa83XB5vYU23v/N7h9gQ4quBTXV3N+eefj9Pp5LPPPqOwsDDQIYkgIIle+I3WmpL6VtaXNPDcyv18fbCJzHgzv79kLNdMy8UcKd0Nn6h33nmH8vJyPvjgA8aNGxfocESQkDp6MSBcbg97auxsLW9iy0EbW8u93RE3O73D+uUlx3Dr2QX8YEq2dGrWT+Xl5WRlZQU6DDHESDfFYkA5OtzsrGpma7mNLQeb2FJuY3uFDafLWxVjjjQwJtPKZZOzGJ8Vz7iseMZkWjBKm/o+mz9/PjNnzmTGjBmS5MUJk0QveqS1ps7ezt4aO3tqWthb09L5ubShDbfH+0vQYjIybpiV60/LY/wwK+Oy4hmREitJfQAtXryYBQsWYLfbZWxX0SeS6MNcu8tDSb2dPZ0J/fB7U1tH53JRRgMjUrxjtV48IYuxWVbGZVnJSYyRsVr96KuvvuKXv/wls2bNkkFDRJ9Jog8TTpebPdV2dlY1s6OqmV1VzeypsVNS39p5dQ6QZjExIjWWiydkMiI1joLUWApS48hKiCZCEvqgqq2t5corryQzM5OXX36ZiAi5eS36RhJ9iHF7NAfqfAm9soUdVTZ2VDazv+5wQjcaFCNSYxmTaeF7J2UywpfMh6fGYpWHmIaMp59+mqqqKlatWkVycnKgwxFBrF+tbpRSdwI/AzTwNXCT1trRZb4CHgcuAlqBH2ut1x9vu9Lqpnda212s29/ANxU2dlZ6r9R3V7d03hRVCvKSYhiVbqEow9L5np8cKy1fgoDWmk2bNjFp0qRAhyKCgF9a3SilhgG/AsZqrduUUq8A1wD/6LLYhUCh73UqsMj3LvrA7dFsLmvki921fL6rlvUlDXS4vQV1htXMqAwLZxQkMyrdwugMKyPT4oiOkp/7wWbfvn0YjUZycnIkyYsB0d+qGyMQrZTqAGKA8iPmXwa8qL0/G1YrpRKUUpla64p+7jcsaK3ZX9fKyt21rNxVw6o9ddgc3nbpYzOt/OTM4Zw5MoWJ2QnEx0iVSyhwu93ccMMNHDx4kJ07dxIZKedV9F+fE73W+qBS6i9ACdAGrNBarzhisWFAaZfvZb5p30r0SqnZwGyA3NzcvoYVMg42tvHLl9azsbQR8A68feH4TM4sTOHMgmSS42R81lC0aNEivvjiC1544QVJ8mLA9KfqJhHvFftwoBF4VSl1vdb6n10X62HVHm8KaK2fAZ4Bbx19X+MKBWv313PrP4txdHj43cVjOXd0GvnJMdKXe4irrq7m3nvv5bzzzuOGG24IdDgihPSn6uY8YJ/WugZAKfU6cAbQNdGXATldvmfz7eod0cXyryu4fekGshNjWDr7ZEamSc+E4eI3v/kNdrudJ554Qgp1MaD60/SiBDhNKRXja10zE9h2xDJvAj9SXqcBTVI/f2ybShvpcGuumDJMknwY8Xg8aK359a9/zejRowMdjggx/amjX6OUWgasB1zABuAZpdQtvvl/A5bjbVq5G2/zypv6HXGIu+v8IkrqW/nLip1ERxm56Yx8efI0DBgMBp577jmGYieDIvhJ75VDUIfbwy9fWs+Kb6rISYrmqpNzuOLkbIYlRAc6NOEHO3fuxG63M3ny5ECHIoKYDCUYhFxuD29tLufVdWV8uacOpWD6yBSuPDmb88dlSF/uIeTaa69l+fLllJeXExsbG+hwRJCSboqDkDHCwPcnZ/P9ydmU1reyrLiMZcVl3L50IxazkbMKU5g+MpWzClPISYoJdLiij0pKSnj11Ve58847JckLv5FEHwRykmK4c9Yobp9ZyKq9dfx740E+31XL8q8rAchPjmG6L/GfXpBMfLS0vw4Wzz//PB6Phzlz5gQ6FBHCpOomSGmt2VPTwue7alm5q5bVe+uwt7sxKJiYk8CZBSmcnJfI5NwEEmKiAh2u6IHH42HEiBGMGjWKFSuOfNZQiBMjVTchSCnFyDQLI9Ms3HTmcNpdHjaUNLDS1w/OU5/s5lDvwyNSY5mSm+h95SVQmGaRLoeHgN27d1NXV8eNN94Y6FBEiJMr+hBld7rYVNbIhpJGNpQ0sL6kkXp7OwBxJiOTchKYnJvAlNxETsqOJ0W6VAgIp9MJgMkk//6if+SKPgzFmoycUZDCGQUpgLeq50BdK+tLGlhf0sCGkkae+mRPZx/1qRYTYzOtjMm0MibTwthMK8NlSEC/kwQvBoMk+jChlCI/JZb8lFh+MCUb8F71by5rYmt5E9sqmvmmwsaXe/Z2dn1sMhoYlW7xFQAWxmRaGZ1plZu9A6ChoYGZM2dy//33c8EFFwQ6HBHiJNGHsViTkdMLkjm94PDoRe0uD3tqWthWYWNbhY1vKmy8v62Kf6073AnpsIRoRqbFMTwltttLhhvsvdWrV7Nhwwa5oheDQhK96CbKaPBV31g7p2mtqW528o0v+W+raGZfbQvr9tdjb3d3Wzc/OcaX+OMYnhLje48lJS5KOurqYsuWLQDyNKwYFJLoxXEppUi3mkm3mjm3KK1zutaammYne2vt7Ovy2lNj56Pt1Z1VQAAWk5Hhqd4r//zkWHKSYshOjCY7MZoMqzns7gXs3LmTtLQ0EhISAh2KCAOS6EWfKaVIs5pJs5o5bUT3watdbg/ljQ721rZ0KwSKDzTw5qZyujb2ijAoMqxmX+I/XAAc+pwRbyYyxAqCAwcOkJ+fH+gwRJiQRC/8whhhIDc5htzkGM4p6j7P6XJT3ujgYEMbZQ2tlHV5/3JPLZU2R7eCwKAgMz6aYV0LgITDnzMTgq8gGDdunFRliUEj7ejFkNPu8lDR1NatAPAWCt7vlTZH58NgcLggyEmKJicxhpykmG6fU+NM0tWzCHnSjl4ElSijgbzkWPKSe+7kq93lobLJQVljK2X1bZQ2tFJa30ppQxuf7qyhutnZbXmT0UB2YrS3AEjsXgjkJMbIwOoi5EmiF0Enyni4WoiCb893dLgpa2jzJX9fIeArENYfaMDmcHVb3mI2kpsUw7gsKxNzEpiUk0BRusWvN4gvv/xykpKSeO655/y2DyEOkUQvQo45MoKRaXGMTIvrcX5TWwel9a2UNbRS4isE9tfZef+bKl5ZVwZAdGQEJw2LZ2JOPJNyEpmUm0BWvHnA6tVbWlqorKwckG0JcTyS6EXYiY+OJH5YPOOHxXebrrWmpL6VjaXePoI2lTXywpcH+Lt7HwApcSYm5SQwJS+B60/Lw2rue5VPbm4u7777br+OQ4jekkQvhI9SqvPewGWThgHe+wHbKmxsLG1kU2kjG0sb+WBbFQaluOXsHuqNeqmgoICKigqampqIj48//gpC9EO/KyGVUhFKqQ1Kqbd7mKeUUguVUruVUpuVUlP6uz8hBlOU0cDEnARuPCOfR6+exEd3nUNBaiyr99b1a7tTp3obRxQXFw9EmEIc00Bc0d8ObAOsPcy7ECj0vU4FFvnehQgqHo9mfUkD72yppLalncbWjn5t75RTTuGqq66S4QPFoOhXoldKZQPfA/4E/LqHRS4DXtTexvqrlVIJSqlMrXVFf/YrxGDocHtYs7eed7dW8N7WKmqanURFGDirMIWrT8np17aTkpJ45ZVXBihSIY6tv1f0jwF3A5ajzB8GlHb5Xuab9q1Er5SaDcwG740qIQab26PZXmlj/YEG1h1o4NOdNTS2dhATFcG5RWmcPz6Dc4tSsfTjJuyRSkpKsFqt0ueN8Ks+J3ql1MVAtda6WCl1ztEW62Faj4/iaq2fAZ4B75OxfY1LiN6yOTrYWNJI8YEGig80sKGkobM3zjSLie8UpXHB+AxmjErFHBkx4Pvfv38/w4cP58EHH2TevHkDvn0hDunPFf2ZwKVKqYsAM2BVSv1Ta319l2XKgK6/cbOB8n7sU4g+q2hqY/XeOtbt9yb2HVXNaO3tQmF0hpUrTs7m5Dzv2LrZidF+74smPz+fGTNm8Pe//525c+diMARXfz0iePQ50WutfwP8BsB3RX/XEUke4E1gjlJqKd6bsE1SPy8GS5XNweq9dazaU8eqvXUcqGsFvF0mT8pN4MLxmZyc530YKs4UmJbGt9xyC9dddx1vv/02l156aUBiEKFvQDo165LoL1ZK3QKgtf6b8l4SPQlcALQCN2mtj9tbmXRqJvqiutnB6r31rNpTx5q9deyttQNgNRuZNtw7ktZpI5IYnWEdMiNhuVwuioqKSEpK4quvvpIeLUWfHatTM+m9UgQ1j0fz6c4a/v75Xr7c423bbjEZmTY8yZfYkxmTOXQSe0+effZZ5syZw8aNGykqKjr+CkL0QBK9CDmODjf/t+Egiz/fy54aO+lWEz88NY9zilIZm2kNqhGrOjo6KC8vJy8vL9ChiCAm3RSLkPL25nLm/3srdfZ2xmVZeezqSVx0UiZRxuBJ7l1FRkaSl5eH1lpGnhJ+EZx/GSKsbSptpM7ezvxLxvL2bdO5fPKwoE3yXf3hD39g/PjxlJSUBDoUEWKC/69DhJ055xaSajHx6royGvrZFcFQ8uMf/xitNbfeeitDsUpVBC9J9CLoxMdE8sfLxvNNhY2T73ufy/76BY++v5PiAw24PcGbIPPz8/nTn/7E8uXLWbJkSaDDESFEbsaKoLXlYBMfbqvm053VbCxtxKO9fc1PL0zhnFGpnD0qlTSrOdBhnhC3280555zD5s2b2bJlCzk5/etTR4QPuRkrQtJ43+Aht59XSGNrOyt31/LJjho+3VnDfzZ7n8srTItj2vCkzldmfHSAoz62iIgIXnjhBWbNmsX+/fsl0YsBIVf0IuRordlW0cynO2tYvbeO4gMNtDi948TmJEVzSn4Spw5P4pT8JIanxA7Jh5RcLhdGo1yHid6TdvQirLncHrZXNrNmXz1r99Xz1f566u3tgHd4wFOHJ3HTmflMzU8KcKTdud1u/vznP3PJJZcwfvz4QIcjhjhJ9EJ0obVmT42dr/bVs3Z/PZ/vqqG2pZ0fnprLvAtH92ss2IFUW1vL2LFjyc3NZdWqVURGDo24xNB0rEQvrW5E2FFKMTItjutOzeX/XT2JT+eey0+nD+flr0o475FPeW9rZaBDBCAlJYVFixZRXFzMQw89FOhwRBCTRC/CXqzJyHWn5jK9MJXqZie3/rOYprah0T7/iiuu4Oqrr2bBggXs3Lkz0OGIICWJXoQtp8vNm5vKueaZVcx85FO+3F3LheMz+N+bTyM+euhUkzz22GOYzWZ+/eueRusU4vjktr4IC/X2dnZVNbOruoXd1S3sqm5my0EbTW0dZCdGM/f8Iq6amk2aZei1u8/IyODpp5+WPnBEn0miFyFDa01Ni5PdVS3s8iXzXVXexF7na2UDEBMVQWFaHN8dm87FE7M4a2QKhiHcjTHAtddeG+gQRBCTRC+CSrvLQ2WTg/KmNiqa2ihvdFDW0MouX3LvWrduMRsZlW5h1th0RqbFMTItjsJ0C1nx5iHZdv54KioquO+++7jtttsYPXp0oMMRQUQSvRgy3B5NdbOD8kYHFU1tVDT6Errve3mTg5pm57fWS4qNYmRaHBdPyKTQl8wL0+JItZiCMqEfy1NPPUV+fr4kenFCJNGLQdHh9lDX0t49kTc5KG/0vlc0tlHV7PxWp2SxURFkJkSTGW9mdIaVzAQzWfHRZCaYyYz3To8N0Hivgy0zM5Ps7Gw2btwY6FBEkAmPvxDhF1prbA4XNc0Oqpud1Bx6tTipsfnefdPqW9s58tm8KKOBrHhvwj6tILkzgXdN5FazMeSuyvtj7NixbN++PdBhiCDT50SvlMoBXgQyAA/wjNb68SOWUcDjwEV4Bwf/sdZ6fd/DFYPB6XJT29JOTbOTapujW8KuaXYeTuotTtpdnm+tH2U0kBpnItViIicphil5iaRZvN9T40xk+a7Qk2KjJImfoOrqarKysgIdhggy/bmidwH/n9Z6vVLKAhQrpd7XWn/TZZkLgULf61Rgke9dDDFby5u4Y+lGqpudR31YKCk2qjNhj0iJ9SbuLq80i4nUODPWaLkK95eOjg5GjRoV6DBEkOlzotdaVwAVvs/NSqltwDCga6K/DHhRezvUWa2USlBKZfrWFUOI1RzJyLQ4Ti9I7rwaT7N6E3eqxURyXBSRQTTgdqjasmWLjD4lTtiA1NErpfKBycCaI2YNA0q7fC/zTftWoldKzQZmA+Tm5g5EWOIE5CTFsOj6kwMdhugF+bUkTlS/L9GUUnHAa8AdWmvbkbN7WKXHyxGt9TNa66la66mpqan9DUsIIYRPvxK9UioSb5J/SWv9eg+LlAFdh8jJBsr7s08hhBAnps+J3tei5llgm9b60aMs9ibwI+V1GtAk9fNCCDG4+lNHfyZwA/C1Umqjb9pvgVwArfXfgOV4m1buxtu88qZ+7E8IIUQf9KfVzUp6roPvuowGftnXfQghhOg/aS8nhBAhThK9EEKEOEn0QggR4tRQfMpOKVUDHOjj6ilA7QCGM5SF07FCeB1vOB0ryPEOhDytdY8PIQ3JRN8fSql1WuupgY5jMITTsUJ4HW84HSvI8fqbVN0IIUSIk0QvhBAhLhQT/TOBDmAQhdOxQngdbzgdK8jx+lXI1dELIYToLhSv6IUQQnQhiV4IIUJcUCZ6pdQFSqkdSqndSql7epivlFILffM3K6WmBCLOgdKL4z1HKdWklNroe/0uEHEOBKXUc0qpaqXUlqPMD7Vze7zjDaVzm6OU+lgptU0ptVUpdXsPy4TE+e3lsQ7eudVaB9ULiAD2ACOAKGATMPaIZS4C3sHb6dppwJpAx+3n4z0HeDvQsQ7Q8c4ApgBbjjI/ZM5tL483lM5tJjDF99kC7AzVv91eHuugndtgvKKfBuzWWu/VWrcDS/GOTdtV51i1WuvVQIJSKnOwAx0gvTnekKG1/gyoP8YioXRue3O8IUNrXaG1Xu/73AwcGme6q5A4v7081kETjIn+aOPQnugywaK3x3K6UmqTUuodpdS4wQktIELp3PZWyJ3bPowzHbSOcawwSOd2QAYHH2S9GYe212PVBoHeHMt6vP1ctCilLgLeAAr9HViAhNK57Y2QO7cDNc50MDjOsQ7auQ3GK/rejEMbSmPVHvdYtNY2rXWL7/NyIFIplTJ4IQ6qUDq3xxVq5zacxpk+3rEO5rkNxkS/FihUSg1XSkUB1+Adm7arUBqr9rjHq5TK8I3hi1JqGt7zWjfokQ6OUDq3xxVK59Z3HGExznRvjnUwz23QVd1orV1KqTnAe3hbpDyntd6qlLrFNz+kxqrt5fFeCdyqlHIBbcA12ndbP9gopV7G2xohRSlVBswHIiH0zi306nhD5twSXuNM9+ZYB+3cShcIQggR4oKx6kYIIcQJkEQvhBAhThK9EEKEOEn0QggR4iTRCyFEiJNEL4QQIU4SvRBChLj/H/+wR65n76AAAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(global_power, np.log2(period))\n", "plt.plot(global_signif, np.log2(period), 'k--')\n", "plt.yticks(np.log2(Yticks), labels = Yticks)" ] }, { "cell_type": "markdown", "id": "broken-encoding", "metadata": {}, "source": [ "So what have we done here? The black dashed line shows where the global power spectrum gets significant. So apparently, there is only very little significant wavelet power at about 30 years. The black line displays the global wavelet power of a red-noise process (as you learned in the lecture, many time series in climate and ocean science can be modelled by red-noise precesses). We can now also find out where the wavelet power spectrum is significant compared to that of a red-noise process." ] }, { "cell_type": "code", "execution_count": 86, "id": "architectural-detector", "metadata": {}, "outputs": [], "source": [ "levels = [0.25, 0.5, 1, 2, 4, 8, 16]" ] }, { "cell_type": "code", "execution_count": 87, "id": "conceptual-married", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1.0, 7.0)" ] }, "execution_count": 87, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = plt.contourf(years, np.log2(period), np.log2(power), np.log2(levels),\n", " extend='both', cmap=plt.cm.viridis)\n", "extend = [years.min(), years.max(), 0, max(period)]\n", "plt.contour(years, np.log2(period), sig95, [-99, 1], colors='k', linewidths=2, extend=extend)\n", "plt.fill(np.concatenate([years, years[-1:] + dt, years[-1:] + dt,\n", " years[:1] - dt, years[:1] - dt]),\n", " np.concatenate([np.log2(coi), [1e-9], np.log2(period[-1:]),\n", " np.log2(period[-1:]), [1e-9]]),\n", " 'k', alpha=0.3, hatch='x')\n", "Yticks = 2 ** np.arange(np.ceil(np.log2(period.min())),\n", " np.ceil(np.log2(period.max())))\n", "plt.yticks(np.log2(Yticks), labels = Yticks)\n", "plt.ylim(1, 7)" ] }, { "cell_type": "markdown", "id": "animated-railway", "metadata": {}, "source": [ "# For further reading" ] }, { "cell_type": "markdown", "id": "cordless-easter", "metadata": {}, "source": [ "Torrence, C. and Compo, G. P.: A Practical Guide to Wavelet Analysis, Bulletin of the American Meteorological Society Vol. 79, No. 1, January 1998, https://doi.org/10.1175/1520-0477(1998)079<0061:APGTWA>2.0.CO;2\n", "\n", "https://github.com/regeirk/pycwt/ and https://pycwt.readthedocs.io/en/latest/ for pycwt documentation and sample scripts" ] }, { "cell_type": "markdown", "id": "b211d93d", "metadata": {}, "source": [ "# Appendix\n", "\n", "### Converting the Morlet Wavelet to Its Fourier Transform\n", "\n", "The **Morlet wavelet** in the time domain, $ \\psi(t) $, is given by:\n", "\n", "$$\n", "\\psi(t) = \\pi^{1/4} \\exp(6j t) \\exp\\left(-\\frac{t^2}{2}\\right)\n", "$$\n", "\n", "Where:\n", "- $ \\exp(6j t) $ represents the oscillatory (complex sinusoidal) part of the wavelet with frequency $ \\omega = 6 $,\n", "- $ \\exp\\left(-\\frac{t^2}{2}\\right) $ is a Gaussian window that modulates the oscillations,\n", "- $ \\pi^{1/4} $ is a normalization factor.\n", "\n", "### Fourier Transform of the Morlet Wavelet\n", "\n", "To convert this wavelet to the frequency domain, we need to compute its **Fourier transform**. The Fourier transform $ \\hat{\\psi}(\\omega) $ of a time-domain signal $ \\psi(t) $ is defined as:\n", "\n", "$$\n", "\\hat{\\psi}(\\omega) = \\int_{-\\infty}^{\\infty} \\psi(t) \\exp(-i \\omega t) \\, dt\n", "$$\n", "\n", "Substituting $ \\psi(t) = \\pi^{1/4} \\exp(6j t) \\exp\\left(-\\frac{t^2}{2}\\right) $ into this equation:\n", "\n", "$$\n", "\\hat{\\psi}(\\omega) = \\int_{-\\infty}^{\\infty} \\pi^{1/4} \\exp(6j t) \\exp\\left(-\\frac{t^2}{2}\\right) \\exp(-i \\omega t) \\, dt\n", "$$\n", "\n", "Simplifying the exponentials:\n", "\n", "$$\n", "\\hat{\\psi}(\\omega) = \\pi^{1/4} \\int_{-\\infty}^{\\infty} \\exp\\left(-\\frac{t^2}{2}\\right) \\exp\\left(i (6 - \\omega) t \\right) \\, dt\n", "$$\n", "\n", "### Gaussian Integral Evaluation\n", "\n", "This integral is a standard Gaussian integral with a linear phase term. The standard result for a Gaussian integral is:\n", "\n", "$$\n", "\\int_{-\\infty}^{\\infty} \\exp\\left(-\\frac{t^2}{2}\\right) \\exp(i \\alpha t) \\, dt = \\sqrt{2\\pi} \\exp\\left(-\\frac{\\alpha^2}{2}\\right)\n", "$$\n", "\n", "In our case, $ \\alpha = (6 - \\omega) $, so the Fourier transform becomes:\n", "\n", "$$\n", "\\hat{\\psi}(\\omega) = \\pi^{1/4} \\sqrt{2\\pi} \\exp\\left(-\\frac{(6 - \\omega)^2}{2}\\right)\n", "$$\n", "\n", "### Normalization Factor\n", "\n", "Simplifying the expression, we get:\n", "\n", "$$\n", "\\hat{\\psi}(\\omega) = \\pi^{-1/4} \\exp\\left(-\\frac{(6 - \\omega)^2}{2}\\right)\n", "$$\n", "\n", "This is the **Fourier transform** of the Morlet wavelet.\n", "\n", "### Summary of the Conversion:\n", "\n", "- The **Morlet wavelet** in the time domain is:\n", "\n", "$$\n", "\\psi(t) = \\pi^{1/4} \\exp(6j t) \\exp\\left(-\\frac{t^2}{2}\\right)\n", "$$\n", "\n", "- The **Fourier transform** of the Morlet wavelet in the frequency domain is:\n", "\n", "$$\n", "\\hat{\\psi}(\\omega) = \\pi^{-1/4} \\exp\\left(-\\frac{(6 - \\omega)^2}{2}\\right)\n", "$$\n", "\n", "This shows that the Fourier transform of the Morlet wavelet is a **Gaussian function** centered at $ \\omega = 6 $ with a width that controls the frequency content of the wavelet.\n" ] } ], "metadata": { "kernelspec": { "display_name": "xarray", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 5 }