{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Spectrum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In a previous lecture, we learned how to plot time series of tide gauge data. We found a rich content, at different periods: tidal oscillations at 12 and 24 hours, yearly variations corresponding to seasons, and if plotting multi-year data, some gauges show variations due to El Nino and global warming. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly, tools are needed to separate such processes happening at vastly different time scales. This is what spectrum analysis is about. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will begin with playing with the most intuitive time series: sound files (run cell below score and then click play button to listen)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "ename": "ValueError", "evalue": "rate must be specified when data is a numpy array or list of audio samples.", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "Input \u001b[0;32mIn [1]\u001b[0m, in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mIPython\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mdisplay\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m Audio\n\u001b[0;32m----> 2\u001b[0m \u001b[43mAudio\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43m../ocn463-data/sound/twinkle.wav\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m)\u001b[49m\n", "File \u001b[0;32m/opt/tljh/user/lib/python3.9/site-packages/IPython/lib/display.py:129\u001b[0m, in \u001b[0;36mAudio.__init__\u001b[0;34m(self, data, filename, url, embed, rate, autoplay, normalize, element_id)\u001b[0m\n\u001b[1;32m 127\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mdata \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mdata, \u001b[38;5;28mbytes\u001b[39m):\n\u001b[1;32m 128\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m rate \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[0;32m--> 129\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mrate must be specified when data is a numpy array or list of audio samples.\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 130\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mdata \u001b[38;5;241m=\u001b[39m Audio\u001b[38;5;241m.\u001b[39m_make_wav(data, rate, normalize)\n", "\u001b[0;31mValueError\u001b[0m: rate must be specified when data is a numpy array or list of audio samples." ] } ], "source": [ "from IPython.display import Audio\n", "Audio('../ocn463-data/sound/twinkle.wav')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This \"audio\" file (downloaded from YouTube) was obtained by feeding the signal of a microphone to an Analog-to-Digital converter (ADC). It is perhaps the most common time series, used in music CD. Each sample is 16 bits (from -32768 to +32767), and standard sampling is 44100 samples/seconds. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load the .wav file using Scipy.io's submodule wavfile: " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# read .wav file with sample rate FS and audio data y\n", "import scipy.io.wavfile as wavread\n", "\n", "FS, y = wavread.read('../../ocn463-data/sound/twinkle.wav')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "../../ocn463-data/sound/twinkle.wav: RIFF (little-endian) data, WAVE audio, Microsoft PCM, 16 bit, mono 44100 Hz\n" ] } ], "source": [ "# read a .wav file information: (!) allows you to get out of matlab to linux for one line\n", "!file ../../ocn463-data/sound/twinkle.wav" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable Type Data/Info\n", "-------------------------------\n", "Audio type \n", "FS int 44100\n", "wavread module ges/scipy/io/wavfile.py'>\n", "y ndarray 1754568: 1754568 elems, type `int16`, 3509136 bytes (3.3465728759765625 Mb)\n" ] } ], "source": [ "whos" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the datatype of y is 'int16'; this is because there are 16 bits per sample in the audio file. Check the web documents for scipy.io.wavfile.read to see what happens with other data types.\n", "\n", "However, we need our data to be in type float for further computations, so we need to convert it:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "y = y.astype(float)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the time series: " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'amplitude')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# plot with an x-axis in seconds\n", "fig, ax = plt.subplots(figsize=(12,6))\n", "ax.plot(np.arange(0,len(y))/FS, y)\n", "ax.set_title('Twinkle time series')\n", "ax.set_xlabel('time(seconds)')\n", "ax.set_ylabel('amplitude')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's zoom on it (1 second): " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3.0, 4.0)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "ax.plot(np.arange(0,len(y))/FS, y)\n", "ax.set_title('Twinkle time series')\n", "ax.set_xlabel('time(seconds)')\n", "ax.set_ylabel('amplitude')\n", "ax.set_xlim(left=3, right=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and again (1/100 second) " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3.0, 3.01)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "ax.plot(np.arange(0,len(y),1)/FS, y)\n", "ax.set_title('Twinkle time series')\n", "ax.set_xlabel('time(seconds)')\n", "ax.set_ylabel('amplitude')\n", "ax.set_xlim(left=3, right=3.01)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visually, it is very similar to a plots of tide gauge time series: variations over long periods, short period oscillations. However, when listening, our brain is doing more than decoding the time series: it identifies easily the contents of the score, telling an A from an F. This is the objective of spectrum analysis. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will skip the theory, and take an empirical approach using matlab functions. First, we will plot what is called the spectrogram: " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# limit to frequency range of music, A440 to A880 in y-axis\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "spectgram, freqs, bins, image = ax.specgram(y, NFFT=int(FS/2), Fs=FS, mode='magnitude')\n", "ax.set_ylim(bottom=400, top=800)\n", "ax.set_xlabel('time(seconds)')\n", "ax.set_ylabel('frequency (Hz)')\n", "ax.set_title('Twinkle spectrogram')\n", "plt.colorbar(image, ax=ax);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The score is simply a transcription of the spectrum for the musician, with A=440 Hz. Music for humans is recorded through its spectrogram, not its time series, because the human ear is a spectrum analyzer, not a time-series sampler. Applying spectrum techniques to any time series (like sea level) is therefore a powerful tool to enhance our understanding of their frequency content. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spectrogram tells us more than the score, however. Its frequency ranges from 0 to FS/2, half the sampling frequency (the CD sampling frequency was chosen at >40 kHz because the human ear goes to 20 kHz). Change the scale: " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# expand the frequency range from 0 Hz to 10000 Hz\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "spectgram, freqs, bins, image = ax.specgram(y, NFFT=int(FS/2), Fs=FS, mode='magnitude')\n", "ax.set_ylim(bottom=0, top=22050)\n", "ax.set_xlabel('time(seconds)')\n", "ax.set_ylabel('frequency (Hz)')\n", "ax.set_title('Twinkle spectrogram')\n", "\n", "plt.colorbar(image, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The \"fundamental\" sounds between 400 and 800 Hz, are replicated as part of the melody, to much higher frequencies, at 2*f, 3*f, ... n*f. These are called the \"harmonics\" of the fundamentals, and their relative strength is what makes a sound specific to an instrument (i.e. its tone or timbre). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is an important compromise to make when using spectrogram: the spectral resolution dF (the vertical axis) and the temporal resolution dT (the horizontal axis) are linked. Require a higher spectral resolution, you will loose in temporal resolution, and vice-versa. The spectral and temporal resolutions are linked with dT*dF=1. Let's experiment with this. In the original spectrogram, we chose to have a temporal resolution using FS/2 samples, thus of 1/2 second. The frequency resolution was thus 2 Hz. Convince yourself by doing: " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# narrow the frequency range from 400 Hz to 410 Hz\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "spectgram, freqs, bins, image = ax.specgram(y, NFFT=int(FS/2), Fs=FS, mode='magnitude')\n", "ax.set_ylim(bottom=400, top=410)\n", "ax.set_xlabel('time(seconds)')\n", "ax.set_ylabel('frequency (Hz)')\n", "ax.set_title('Twinkle spectrogram')\n", "plt.colorbar(image, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try a shorter averaging time of 0.05 seconds using FS/20 samples each: " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# limit to frequency range of music, A440 to A880 in y-axis\n", "# use shorter averaging times\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "spectgram, freqs, bins, image = ax.specgram(y, NFFT=int(FS/20), Fs=FS, mode='magnitude')\n", "ax.set_ylim(bottom=400, top=800)\n", "ax.set_xlabel('time(seconds)')\n", "ax.set_ylabel('frequency (Hz)')\n", "ax.set_title('Twinkle spectrogram')\n", "plt.colorbar(image, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The temporal resolution is now very fine, but the gain is mitigated by a much coarser frequency resolution of 20 Hz, as you can see with: " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# narrow frequency range from 400 Hz to 500 Hz\n", "# use shorter averaging times\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "spectgram, freqs, bins, image = ax.specgram(y, NFFT=int(FS/20), Fs=FS, mode='magnitude')\n", "ax.set_ylim(bottom=400, top=500)\n", "ax.set_xlabel('time(seconds)')\n", "ax.set_ylabel('frequency (Hz)')\n", "ax.set_title('Twinkle spectrogram')\n", "plt.colorbar(image, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Likewise, if we take a longer averaging time of 5 seconds using 5*FS samples each: " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# limit to frequency range of music, A440 to A880 in y-axis\n", "# use longer averaging times\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "spectgram, freqs, bins, image = ax.specgram(y, NFFT=int(5*FS), Fs=FS, mode='magnitude')\n", "ax.set_ylim(bottom=400, top=800)\n", "ax.set_xlabel('time(seconds)')\n", "ax.set_ylabel('frequency (Hz)')\n", "ax.set_title('Twinkle spectrogram')\n", "plt.colorbar(image, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The frequency resolution is now very fine, but the temporal resolution almost useless for the process that we are studying - we cannot distinguish individual notes: " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# narrow the frequency range\n", "# use longer averaging times\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "spectgram, freqs, bins, image = ax.specgram(y, NFFT=int(5*FS), Fs=FS, mode='magnitude')\n", "ax.set_ylim(bottom=400, top=500)\n", "ax.set_xlabel('time(seconds)')\n", "ax.set_ylabel('frequency (Hz)')\n", "ax.set_title('Twinkle spectrogram')\n", "plt.colorbar(image, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The choice of temporal vs. spectral resolution depends on what you want to analyze. Sometimes for process with fast temporal changes, you may need to sacrifice spectral resolution. At the other end, stationary processed that do not change in time (except for the sinusoidal variations of their components) do not require temporal resolution. At this extreme, the interest is in the highest spectral resolution possible. So let's compute the spectrogram using the entire length of the record: " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_15517/2994423575.py:4: UserWarning: Only one segment is calculated since parameter NFFT (=1754568) >= signal length (=1754568).\n", " spectgram, freqs, bins, image = ax.specgram(y, NFFT=int(len(y)), Fs=FS, mode='magnitude')\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# use longest averaging time\n", "# do not limit frequency space\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "spectgram, freqs, bins, image = ax.specgram(y, NFFT=int(len(y)), Fs=FS, mode='magnitude')\n", "ax.set_xlabel('time(seconds)')\n", "ax.set_ylabel('frequency (Hz)')\n", "ax.set_title('Twinkle spectrogram')\n", "plt.colorbar(image, ax=ax);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a forensic analyst, you notice that while the file was uploaded to YouTube at the standard 44100 Hz sampling rate, its author actually initially sampled it at 32000 Hz, because there is no spectral content above 16 kHz... smile! \n", "\n", "There is now ultra-fine spectral resolution of about 0.025 Hz which is FS/1754568, as seen with: " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_15517/3411494338.py:4: UserWarning: Only one segment is calculated since parameter NFFT (=1754568) >= signal length (=1754568).\n", " spectgram, freqs, bins, image = ax.specgram(y, NFFT=int(len(y)), Fs=FS, mode='magnitude')\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# use longest averaging time\n", "# do not limit frequency space\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "spectgram, freqs, bins, image = ax.specgram(y, NFFT=int(len(y)), Fs=FS, mode='magnitude')\n", "ax.set_ylim(bottom=438, top=442)\n", "ax.set_xlabel('time(seconds)')\n", "ax.set_ylabel('frequency (Hz)')\n", "ax.set_title('Twinkle spectrogram')\n", "plt.colorbar(image, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since in such plot there is no information at all in the x-axis, it is customary to plot the spectral data in a different way. The spectrogram is saved each time in the variable \"spectgram\" when we make the plot; the frequencies are saved in \"freqs\", and the central time of each bin is saved in \"bins\". " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This \"spectgram\" is the magnitude of the Fourier transform of the time series; the Fourier transform is an array of complex numbers. To plot it, we need to take the logarithm (because the scale of variations is very large) of the square: " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Twinkle power spectrum')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,8))\n", "ax.plot(freqs, 10 * np.log10(spectgram[:,0]**2))\n", "ax.set_xlabel('frequency (Hz)')\n", "ax.set_ylabel('variance (dB)')\n", "ax.set_title('Twinkle power spectrum')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is customary to multiply the logarithm by 10, to obtain a unit call decibel. \n", "\n", "Another function that calculates a single magnitude spectrum is magnitude_spectrum:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# do not limit frequency space\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "spectrum, freqs, line = ax.magnitude_spectrum(y, Fs=FS)\n", "#ax.set_ylim(bottom=400, top=402)\n", "ax.set_ylabel('FFT magnitude')\n", "ax.set_xlabel('frequency (Hz)')\n", "ax.set_title('Twinkle magnitude spectrum');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It must also be converted to variance and dB:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# do not limit frequency space\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "ax.plot(freqs, 10*np.log10(spectrum**2))\n", "ax.set_ylabel('variance (dB)')\n", "ax.set_xlabel('frequency (Hz)')\n", "ax.set_title('Twinkle power spectrum');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's scale to your useful fundamentals frequency band: " ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-60.0, 60.0)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# zoom of useful frequencies\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "ax.plot(freqs, 10*np.log10(spectrum**2))\n", "ax.set_xlabel('frequency (Hz)')\n", "ax.set_ylabel('variance (dB)')\n", "ax.set_title('Twinkle power spectrum')\n", "ax.set_xlim(left=400, right=800)\n", "ax.set_ylim(bottom=-60, top=60)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now you see the exact notes of the A-major scale played by the violonist: A-B-C#-D-E-F# (# means sharp in music notation), with A=440 Hz. A scale is built such that notes have frequencies in integer ratios, the simplest being E=3/2*A and C#=5/4*A. The notes are labeled in the plot below." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(750, 30, 'F#')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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dOnVCQUEBPvnkE51ayjyxZO+ZgDlXGasIOPgOcBx7G+uJnzKMbkJAqlu3LrZs2YJhw4Zh8uTJaN++Pbp27YrPP/8cTz/9NFq2bAkA2Lp1K8LCwtCsWTNcunQJO3bsQI8ePRTv5+zlAq3+BF01fW4eBr67wuk65iJPderUQXp6OqZPn45Ro0Zh586dSElJ0amlzF27Tl3CPTM34YU/nQ/DsmddWMn6Jzo6WqOWMsbMONVggOPYWx/frM1EjcoRuK6F7QS+uTu46JFWEhIS8NZbb+Gtt95yuE5qairOnj0LAIiNjUVRUZFb++jxxtKASRd5+Fyew+e4yJP/Ms/ryTzv+P/XEXNhJWtBQdwnx5jWOPgOcKU8309zJaUCz0u9ToESqDH/l19UgqbPzUODhLJx7cUlpQgJ5uAqkJjvbnryUW9dWIkxph/+FA5wf2ScNLoJAe/8lcAYmsACS3au6bw8nF3WIzpzTaZBrWFaMd/d3HAkx9B2MMaU4+A7wF0r5Ek4WrO+u8DH239cKah4aTjPXM43uglMZd7kX1+2bBmio6Ntfq6//noVW8cYk8PDTgKcfZ7p5AlzeGiEys5Z9XwfcTKulvmWcd9tdr2SH7sqcyFYVMLj0ALN/F2ezytJS0vD119/bbMsKirK2yYxxlwwPPgmomAAmwCcFEIMJaKqAH4EkAwgE8CtQogLxrXQv/GYb+39uPG45ffB7680sCXMHYHeC3z75+vKLeOiT4Hnz4xTHr82MjKSM9kwZgBfGHbyXwB7rB5PALBYCNEIwGLpMVMRfwGr6/iFq06fP5sb2EGevwr0HPg5eYXllh057/xcZf7lQl6hzZ03xph/MDT4JqLaAIYAmGG1eBgA832wrwEM17lZAWXB7vK3JDP5C1hVHZOrOl+Br3V8kquiM4Foxf5so5vAVJT+2hKbx8kT5rj1enNhJfsf7qBhTFtG93y/C2A8AOtvwUQhRBYASP9WN6BdASO/qHyAMXdHlgEtCVyRoY6rJDLfZZ/3+qXhLQ1qCWOekRvXv/f0ZcWvNxdWsv85f/68ms1kjNkxLPgmoqEAzgohPJr1RERjiWgTEW3KzubeHHu5+UUOe0EOZV/RuTWBbdGeM0Y3gamgbzO+zmf+b9Tn6xWtN3PmTAghZH+qVaumcSsZq9iM7PlOB3ADEWUCmA2gDxF9B+AMEdUEAOnfs3IvFkJMF0KkCiFSExIS9Gqz3zjqZGjJb1s497ea1hziXqJAQFwPlgUAubH+jDHfYljwLYSYKISoLYRIBjASwBIhxB0A/gIwRlptDIA/DWqiX3OWfuq+bvV1bAkrLKl4Y4v9UYDPv2SMMeYjjB7zLWcagP5EdABAf+kxc5OzoSUzVh3RsSWBr3FitNPn/93heR5epp9Air252BNjjPkuw/N8A4AQYhmAZdLv5wH0NbI9/i6voBhzOeDTzf4zzsfQF3OydaazF/7aaXQTGGOMOeCLPd/MSxuO5BjdBGZl+opDRjeBeWHZPtlpJz7tp00nHD53Ob9Ix5Ywxhizx8F3gDl9KR93z9xodDOYlQtXOdjxZ/d9vcnoJqjq27VHjW4CU0EJ31FjzG9x8B1gOr+62OgmMObz5MZEV5RY5tBZTjUaCFYc4BS7jPkrDr4Z80JeQbHRTWAeKC4tn4GmxEFVv+JSgYLiwJnA+NtWTjUaCIpLKsjVImMBiINvxrxw8RoPKfFHQTJ5BZNiIxyu3+TZeVo2R3fHnNQBYP6hlEvAMw/cddddIKJyP7Nnzy63bqdOnfDzzz8DAO6880688sorejc3YHHwXUH9tPE4BH94e+0XJxPbmO+yj70Ht6oBqkCJvrnKrf/jj2/mqe7duyMrK8vmZ/jw4TbrXLt2DRkZGejWrRsAYNWqVUhPTzegtYGJg+8Akl+k/Nb4+F+348V/dmvYmoph87ELitbjCx3f8e3aTDR/fr7Nso9HdzCoNep7e8E+l+tM+n2HDi1hWuLPFOapsLAw1KhRw+YnIsL2zt+GDRtQp04d1KxZE6dOncLJkyfRsWNHg1oceDj4DiCD3lvp1vpfrc5Ebn4RirgCo8eycwsUrXfqUr7GLWFKPffnLqOboJn9Z3Lx/pKDLtfL4vPR71WUCcJMX61bt0ZcXBwGDx6MY8eOIS4uDk2aNEFxcTGSkpIQFxeHY8eOGd1Mv8fBdwA5ci7P4XO3ptaWXd5q8gKM+26zVk0KeHuyLitaj3up/N+g91biDx+erLgxMwfXvbPC6GYwnfCYb+apZcuWITo62vLTsGFDy3Nz585FRkYGmjZtirfeegsZGRkYMGAAnnzySWRkZCAjIwNJSUkGtj4w+ESFS+a9g16kD1u0x/+KiPibwmK+u+Dv9mRdxmM/ZmB4u1pGN0XWwt1njG4C09HPm3m+CfNMWloavv76a8vjkJCyULB27drIycnBzp07MWrUKMTHx2PNmjWYMGECkpOTDWhtYOKe7wDR7+3lTp/nThJjfbSUq1z6guIAHmLl6O5KvfgoTB3eUufWMK2t2O84z3cuVzFlTkRGRiIlJcXyYw6qBw0ahOjoaNSuXRtFRUVITk5GTEwMsrKy0KtXL0RHR2PlSveGtzJ5HHxXEBx7G+vXLdxL5QvWHj5vdBM042heQe8m1XFn53o6t4YZqdXkBV7dDWUV04wZM5CRkYHhw4dj3LhxyMjIwCOPPIKBAwdahpykpqYa3cyAwMF3AFBSZnj+ztM6tIQxZpSdJy/JLg8Lkf+Y33c6V8vmMINtUZiJiTGzWrVqISUlBdu3b8fQoUORkpKCffv2YcCAAZZe8sjISKObGRA4+A4AGzNzXK6T66IS48mL17B4D48ZZcwfPfFjBo66WThn1yn5YJ0FBp7kzTxx7tw57Nu3D+np6RBCYOXKlejVq5fRzQo4POEyAIycvs7rbaRPWwIA2PxsP8RHh3u9vYqmckQILuc7v8BZf/g80hrE69QiVpF4UjL+iZ+24ab28lmQmP/j2JvJ+WzGF9h50nGWrmrVqqGoqGzOQHa247kFzHMcfFcALWtVdvpms5Z5/ioH3x6oF18JOxzc9jd78Z/dmPNod51axADTXaELeYW4rkUNt153XfNELAiQ7CHpKdWMbgJT2ZK9rs/N2RuPY2Snujq0hvmq4pJSpDzzr82yxMrhOHO5AL+O64IO9aoa1DLGw04qgLpVoxSv+8MGTp7vCSWVyXeduuw0FztT3y2frsXYb8vy2G87flHR6wKl0vyT/RujZ+MEo5vBVHbPzE0u18lQeK6zwDV/V/mLtDOXTYXhbv5krd7NYVY4+K4A7uycrHjda4W2JepLSgUuXeW0Va4ojdV6v7lMy2YwJ/ZkXcabC/YrXr9adJjs8gNntJ+omFdQjJy8QuQXleCr1Uecjt919lxEaLAWzWOM+YErBfzd7as4+K4AgtzoxSsutc2D/MJfO9HmxQUcgLtQOTLU6CYwK6/P24tNVhORrxWWYNB7yvPTOhsvO2vDMZy+lK/KhLbn/tiJ5Alz8Ne2U0iftgQlpQIHzuSiy6uL0X7qQjz18zZM+Xs3bnMyr6PYSbajYKs3f4ukyl63lzHmP3JdzENixuHgm9mYv+sMhry/En9vO4XkCXPw3TrTMJRRM7yf1BnIJgxqanQTmJWPlx3CiE/LbqvOXJPpwVbkr1q/Wp2Jzq8uxg8bjnvWOCvfrjsKAHj0h604efEaftl8HP3fWWGZvLv7lGmuxoYjjjMaXS0ocficdVheK45ThAWCnLxCo5vA/MTsjd5/RjFtcPDtx85dKUDyhDmqb3fXqct45Iet5ZYxx6LCeO6yLzt18Zrbr6kX73yuxDoNCvb879cdNo8PK5gj0ObFBYq2LTeO/d8dWYpey3zHpWt8F5Ip46rQ0iYFaYqZNjj49mP73SiS0TChkoYtqXjyi0rw0dKDlscBMj/Pr2w9dgFL950tt1xuOIi5h1kpIuDz/3Neyc3fJmWSzFk67vstKCh23HPOfE9osJ+deMxnWd8dZPri4NuPjZqxXvG6kWE88UpNr83bizfm7zO6GQHtcn4Rft7k+LbpjR+vwd1fbSy3XEHBV0WqRDkfx/9nximvtr/VRyoQ2k3zYD5u81HfOG+Y77udU036LA6+/dTVQp5IYST723n2vaD/16Wew9cOfm8lGj0zV4tmBYT0aUuQPGEOJvy6HU//sh3bT1x0uv7Zy/k2j9W4LS8EQBp2bZ+6eA3zdp526zV/bzuFfm8vxz/blQf91ncBRnaqI7uO/SRr5ts4HSxTqlStngimOg6+/VRRiXtvKrlbzu6av+s0rrgoU19REQiLnuiJm9rVAuB8DPjurMtu//8FsuQJczDikzXYcuwCzlzOx0lpfPaSvaYhJasPmsZWX7pWVC4VJgC8Pn8fkifMQfKEORBC4J2FytMJGiX9tSX4bMVht17zyA9bcfDsFTw8a6vT9d4b2dbye6f6ZUU04qLkUyf+6+ZFADPO6Uv5WHeYx+kyZfJ5SJnP4uDbTx3PuepynaTYCFX3+cC3m9Hyhfk4lH0FQggcz7laYSf/rDxwrtyylOrRSEmMBgAIcHCtRG6+6fzZdPQCbvp4DdJeWWx5Lr/I1CM7Y6UpSG0zZQH6vLUMJy9ew4kLZef/L5tPWH6vP3Gu2+O75YaXaNHpffR8Hh7/MQNFJaVel/6+/oNVeNCqeJC16jFl7/vWteNcbouLsfgPznTC3LEny3WiBO4dNwanaPATl6UgpXKEKVDYq2CypfVtczWDib5vLceN7Wrh960nUSsuEqsn9FFv436qSiXT/4sadxiYrdz8Yuw8eQkAkHUpH+nTlqi6/b8f6ebxa5MnzMHbt7bBTe1ru1x3/C/bsf5IDm5NlR/+4Y4dJy9hh3RM7Fn3drPA4m+TfJkxSksFWk6ej6sydwrt7c66jOzcAlSLDker2rE6tI4B3PPtN1pPXoDWk8tSiikp8BFvVaFP7c/s37eeBADLEIGKLibCrveUOxMUUXKYCktKMfSDVZq1oXYV5ykFXXnip22K1jMHTmoU53G6HzeXa9wcppLSUuGwUNRN7Wvp3Brmiy5eNVXF7fnmUkWBNwBk5xbg7pkbcf2H2n3GsvIMC76JqA4RLSWiPUS0i4j+Ky2vSkQLieiA9G8Vo9roy5Tk3Q4Psfrv5S4TXVgCLAXrDvtwFZo+9y8uXq1Yt5ILi0uR9soizN91Gj1eX2p0c2RpEZCax+pmnnc9ZMwbjt7qzR1UuNyt4NY0M97qQ+WHupm9dUsbLHmyp46tYb6o7YsL0fS5eTieo7xTzPr9v0pmOCXThpE938UAnhRCNAPQGcBDRNQcwAQAi4UQjQAslh4zO84q3tkjItSt6l3vHlOmbZ04AEDHZNe3/reduIT8olIs35+tcat8x+crDqPxs//izOUCPPDtZly8WvHmDEz6fYfrlbzgKEtLaLD8x/02HvPtF4qdjM0lIjRIiNaxNczXFJXIZy3q27S609fNWl+WPefUJb6TrRfDgm8hRJYQYov0ey6APQBqARgG4Gtpta8BDDekgT5s16lLbvdWTbupFabf2UGjFjGzzg3isfW5/ujfPFHxa/47O8My8TDQvTx3j9FNsOFoUnJ8dLjOLfGMFhVuGWO+6VphCT5dfkh26FphcVnwPbJj2byS6AjnU/ush45+ueqICq1kSvjEmG8iSgbQDsB6AIlCiCzAFKADkL1sI6KxRLSJiDZlZwdmz2FpqcDFq4U2V7QzVh7GkPfdH5tVKTwE17WooWbzLJ77YyeSJ8zxi8wny/adRfKEOR6VG1eqSiX5lG7OzFydqX5DfEh+UYlP9vCHh9oWn7q3W30AUPVOUUFxCVYf1Pd27t8Pd8O2F65z+3UZxy/i4NmyydyX84vw5vx9KHbQq8a0J4RAbn4Rxv+yXfb5OlUjdW4RM0qz5+dh2r978c3a8hmdrO+MxFplcAoJUh7mZZ7P866BTDHDg28iigbwK4DHhBCKu3OFENOFEKlCiNSEhATtGmigdxftR9sXF2L5vrKg5aU5vtVzCJSV7s7OLTC4Ja7N3mCqmLj12EUAwE0fr/aJq/23/CA3tTcem52BMV9uMLoZ5dj3IIV4WLr7/JXy5/6+07mYsz0LT/y0DaPdqEarhla1YxEb6bxCp5zhH61Gv7dXWB6nT1uCD5cexE+bTjh5FdPS5L92odXkBQ4/X3nCbOA7eDYXf2actDx+4a9d5daxHopaUFR2sXw+T/n3Mtef0I+hqQaJKBSmwPt7IcRv0uIzRFRTCJFFRDUBnDWuhcZ6f8lBAMCbC9wrY35Tu1rYYkDp6iCruGXf6Vw0TozWtEqgJ8xX9g/N2oK8wtbYcuwithy7iHukHk8jHTmXh/rVKhndDFVlnstDlagwzNvlm4VcujWqpsp2VhzIxuI9Z/HhqPaWZQPeXeHkFb5t3s4snLlcgNx8U1GtSb/vwE3tayHC7k4B097XMr2crGKxviB2pHpM2VC5AqviOsv2Kb/jWFIqsHTfWfRu4nycOPOekdlOCMAXAPYIId62euovAGOk38cA+FPvtvkaJTm9zcJDgvD2bW2x7OneGNujIQCgcaI+E3F2nLyEli/Mx8zVRzDg3RV4d9EBpL2yCEd96FaW9bF0dBvXKL3fXGZ0E1TX681lGPSe7wahL1zfwuZxekNTMN4x2b0kS4//uA3/bM/CzpOXsO34Rb/LGlBYXGpzF+DB77aU611r+tw8vZvFvOQPQwGZ93adumRTqVauErBSd3+1scJl4DKCkT3f6QDuBLCDiDKkZZMATAPwExHdC+AYgFuMaZ5vCgsJsplYYW3h4z1sSkj3b56IzGlD9Goanvp5G4pKBF78ZzcA4L3FBwAA3649imeHNtetHdY2H81BeEgwVh44h4QY/5hEF2hOXco3ugmyqkSFlssA0qNxAvZOHehxD+/VwhLc+tlaNZqnq8bP/otXbmxldDOYytpMWYAjrw5G9pUCm8qnLLDYzwO7UlDs1fZ4+In2FAXfRFQdpmA5CcA1ADsBbBJCeDwLRwixCo7rPvT1dLuB4NK1IhxzkAvYUeANAI0SYxTvIzwkCAVOtuWJ8JBgFJUUwz4j1oxVR3QNvjPP5aFO1SgEBxFu/kRZIDTikzWICg/BN/d0crnu23bjs61nlntr58lLOJZzFYNb1VRtm0bIzS/CVOkizN94M7TCx0ZZueWZP7RNgci0YX3OxUSEWIYKmX277iie/3MX5j/WA01qKP+OYL7Bk6Jci/aUjda9v3t9fL7S+HlNzJbTYSdE1JuI5gOYA2AQgJoAmgN4FqYe6ylEJF+5gXmszZQFmlebaqTBUBRnFwZ6OXo+D73eXIa3F+7DiQvKi5lsOnoBKxRm43hf6tE3UzPgGvrBKvzn+y3qbVBnx3OuInnCHKRPWxIQk/SeHtDErfU3ZirPv+9rlHzH5+YXYeC7K7BbQZEv5r1LCvLgW/+/DZDJaGWesM+ZLPxTiZP87qsOnMP2Exedvn7TUf3nfzHXXI35HgzgfiFERyHEWCHEs0KIp4QQNwBoA2ArgP6at5KprmkN9a+ZCp2kI1M7KLlSUIy3F9imQCsqKbVkMflo6SF8sPig29t19kGnJ2/G7Bkhv6gEM1YeRnepYuXlfO9ue/qKh3qnuLX+6/PcmxytpoWP98AXY1I13cefGaew93QuXvjLlF70p03HNd1fRdfmxQVurT/5hhaYOsx2HsPivaZe0H1uzB1ivsPZEJA7vliPGz5c7fT15u9Ed2w5dgFnLudj81H/7UzwdU6DbyHE00KIYw6eKxZC/CGE+FWbplUs3607qkse5FpxppywVT3IRe2NWz5di7WHzqu2vTfm7cX7Sw7iz4xTyM0vQnZuAd6Yvw+P/ZhhWef0ZffHGjtK55VfVIIOUxdi4e4z5Z7TItXXi342ZGPK37t9Mg1mRdIoMQZ9mykv7uSJZ//YCQDYmGnqTZux8rCm+6tISksFkifMwZvzPb+Aiw4PwZ1dkmWfe3vhfly6WoQLeTyZzpccyr6CrQ6yk038bQeW7ZNP+Hbf15s0a9OyfdlIe2Uxbv5kLfaf4Ys2Lbgc801EPQFcEEJsJ6JbAfQAcAjAx0II30/s7OP+O3srYiNDLUnzo8I8G28aEaoscc0v47og49hFbDWgpPTtn69TbQJovpTHtKikFD3fWIacvEK0SLLtzffkYsbREJKsS/k4n1eIl+boExSvP3Ieaw6eQ9cUdVLhae2HDbLX6D4tKkzZfPMPbm+HR37YqnFr/NP+M1eMbkLAMN85/HDpQTzl5nAnpcw96ebP4ZJSAQIQFOTHkxX8lPkua9+3lgNAue/GvIJi/LDhmMPP1kV7yncEqcV6nzd/vAbv3NYWrWvHonplnrSrFldjvj8C8BKAGUT0HYBRME22bAfgS+2bF/j+zDhlU63qqofDDUIVVrGqGRuJQX4+mc+aAJAj9eTsUmEcqtxX0NXCYksawKMOJsKq7XB2HkbNWG9TbZCp6/v70hStd32bJI1bwvzd4j1n8IXCYl2lpQJHzpUff11qdwtt3k7tcuO3emE+Xp27Bw0nzUWDSXM9mtTHvNNmygI0nDTX8vhCXiHO5ubj1s/W4vyVAmRd0q4KsztyC4px3zebcOPHa4xuSkBxFbH1FkJ0h6m3exCAm4UQn8KUf7u11o0LdJfz1cvBav/B7YrcxBx/IIRAaanABSkP6cTf1M3QcFZm2Mnwj5yPqdPye+vStcAYO+2LkgOooNHrI/jjWGsZxy9aLvRLSoVNwHrv15sUZ/d54qcM9H5zWbkLa+uOl/1ncvHgd5tVaLW83IJifLaibMjQ3B3qBvr7TudyQO/Am/P3Yenes+XSAQoAb8zbhw1HcnD3zI2qfq/clup9Rq6TF33jYiBQuAq+8wFACJEP4KgQokR6LABw9n4v7c1Sr1fT3fdph3ruFRHRyvkrBdh16pLi9dOnLUGDSXOxQGbstRq+XpNp8/jUxWse31pPrKxGXnHf/gL73y/b0eetZUY3o8KrHOF+KXnm2qHsK0ieMAdbj13A8I9W46aPV+P8lQI0nDQXM+0+KwBlE7b/yDgFADh1MR+Hs69YgtTPlh+yrJPnZZ5md60+pF5RqPWHz2PAuyvw7TquzCnnw6UHcffMjeWWbziSgx0nTd+F209cwtrD6s2RYr7HVfBdnYieIKInrX43P07QoX0BTY3UfHWqmiZQVgo3sl6S5wa/vxJD3l+FY+evov3UhTie43hYx+S/dulesGWLg4kwSix8oifWTuzj1f7HfbfFZzKwyPlx03EczuYUZkbL4Ul0qlp5IBvJE+ZYxuPe+cUGAEDm+as4ccHUA/jblpNYc+gcVh8sC1xXHzyHe2ZuxBlpsndufhGGfrAS+8/k4uDZKzZpSv/deRp93lqO37eeBADkWfV86/2Wt88N7q6LVwuRPGEOGj/zL45Kn+FvLdiPzUdzcORcHv73y3bM25mlRlP9mrNhhBeuFuJaUdk5kKXid13vphyu+RpXEdvnAGJkfgeAGZq0qIL4edNxVYKqV29sjTu+WI86VSJVaJW+cvIKceayaZjHz5uPIyevEL9vPYlH+zayrFNSKjD1n90YnVZXtqdJbfYTLh+e5XqiXXy0fOaYyhGhXvdIns0twMbMHHRuEO/Vdph3ljzZE32kQMwXuTvsjDn31epMm8fWQwTMwWXWpXyM+ny9zXr/96UpSO/5xlKUlgL3dKuPnScv4+0F+7EhM8fmIsk8qe2btUfRqlasTdrUmz/Rd3zt39tO4YPb23n8+m+leUuFJaWWbC2XrhXZFDn7cdNxXSsu+6LsXMcXyUFkO6fok2WHHK7rrkAaYhconAbfQogpejWkIjmecxVP/7JdlW1FhimbaOmL2k9daPndPN5RCFOhnJqxkQgLCbJMSNEj8Dbv311hIdr+H3BgZbwGCeoXpVJTkIGlNU9evIb0aUvw3si2GNa2lmHt8NTh7CsY+N5KLHy8B+rFm4KUJXvl07sBpo4TADh3xXGyL3M2pk+loST5xSUO705kHL+I/u+scLvdP47tjNumr3P7dWrr89YyZF8uOxZy82asXc4vwqoD5/y+iq8nwp1kJTPyPcz05zT4JqL3nT0vhHhU3eZUDBU9N+7xnKvl0gCaMwWsPngO7yzaj9s71cGrN+k/iUwAGPX5Oqw5dB4JMWqM2fbef77fgheHtcQNPpR14/etJyyBSkWx9Klelqw3WppyQwu0qRPncqKvNSO/t9OnLQEATP1nN25ok4SSUoEgIr9JX/fL5hMoLC7F39tMY7F3nnSeNWnlAffHRy/bp34Nh6Q44+927jp1ya1hZz1eX4qU6tFYsvcslj3VKyB7ZM/m5uNwdp7N3cqiklI0euZfNHDy96rVISenUfUY1ysp8PyfO7F8fzaWP91ble1VZK6GnZinW6fDVFb+R+nxLVbPMSsLdp1GQXEprm+ThDWHzqFz/fhyX0Jfr1V/Ioo3faPmW4HJE+ao0xgnXO1jg1QJ01nPk5Zy84uwRioG5Kjgjt4uXi3Coz9s9ang+/EftxndBN3Vr1YJ/ZolappfFwDqVo1Cs5rufVn6Qpibm1+M1pMXIFcaouHrQwzOXM7Hb1tOYrqU9YOI8IYXBW70VrtKJO5Jr49Rad5nsvDUkPdXubX+sZyrOCYN29mYmYOacREID/GstoWvGv7hapy6lG9z/hdI87sOy6SY1FpoMCE4iLDnxYFo9vw8r7b1jQaxS0XlatjJ1wBARHfBlHawSHr8KQD36t5WEGO/NV2TREeE4O6vNmLioKZ4oGdDAMDAd1dgUMuKd6vNE2cuGxP4zt/lfmBFOoU+Zy/nc5EDg3WoV0Xz4FtAuB2Q+MId64LiUkuQ4Q8e+WErNhwpK5+dX+RZjQWjEBGev765Yfv3Ng/1079sx9O/bMfcR7ujuV2BNH/x744sJMSEIzW5KmatP4YgQrmkAOZhWUaJjTTNO4r0sIAf04bSwapJsJ1sGS0tYzD1liZPmGOTWunur0yphF79d69l2d7TuXhn0X5N2uAD371MYy/8tcvoJgAwFR2qqB7o0UDzfXgyxN8XpwU4KpntK+zP4w+WHDSoJf7p/BV1MuwMfn8lAGD2hmM4cUGfImZm9vna3TXu+y0Y8elaJE+Yg0m/78AEq7oTe7Iu47HZW/HCn8Z+bmvx2dDttSVYvOeMzSRh5h6lwfc0AFuJaCYRzQSwBcArmrXKz5h7ab9aLV/hLCevEK/M3aNpG7T87nU2Tk1LZy/rm1bQ1/2787RP9M5lntP3C1ItVaK8z4WtxzhmLQPpX8d1wcrx+ozXvPHjNdh81HcDcJ7g5h01U6D+vOk4Jvy2A91eW6raNl3ZdeoSGk6aaxl25K7PXbzuoVlb8EfGKWzMzHG6nta0+Dg5ceEa7v16Ez5cyhesnlIUfAshvgKQBuB36aeLeUgKK7vl62jiyXN/7PT4De4TDPqO6vTKYmN27KYoHW/nPfWz8WOt/TX7yq0qVHnTgydHV2kc2aFeVdSpGuXBHjyjd8o8pX7adBy7TzmfWFnRJE+YY6m6XFIq0GHqQjR7bh4OZ19BcUkpsnMLcK2wBFcKivF/X27AIz+4TsOqlJaTDeWM/2WbZby69d1pANiUmYNtxy/Kvk4IgQ1HclBQXIKXXXSomeOBS9eMrUeoZaXRY07qcjDnnAbfRJRs/l0IcVoI8af0c1p6noiotsZt9Hkvz3H+Jpyzw7+LC3D/kGP/7dsIY7om67a/f7Zn4d1F+1HqotepoLgEL/y5ExdULL5SWFyKdxbu97mCLq/f3BrTbmrl8Pm2deJMv/jwidy9UTXL73Jflq6Ca1++HtK7WqMzQgjk5hdh/C/bUezDxauM0uP1pZi38zQW7zmD83mmoi8PfLsZ3V5bio4vL8KQ91di7vYsrNifrVngtVjjORW7T13GT5tOOHx+xKdrMeyj1fho6UEkT5iDC3mF+GjpQZSUCvy17RRu/WwtvlyVqWkbPRHuIOWt9WmuTtXlMr9tOanq9ioSVz3fbxDRr0T0f0TUgoiqE1FdIupDRFMBrAbQTId2+jSjMnOYaBdRfP5/qQB4ooYzj/dvrHmeb3vvLjqAhS6+oP7ZloWv1x7FNLteHW98u+4o3lt8wFJIxFfc2rEORnaq6/D5UWmm59qZg3AvPTdU3UlumdOG4FWriwf7kLBn4wQcedW3M4c4s3SfkZ+Ptj5bcRitJvtnroDo8BCMH9hE031cvFqEB7/bbEkcAACHsq/gtDQE8PC5PIz/Vdte6nu/3oSPNBzOsOvUJdnlv289YZONy5z5pt3UhXhj/j78uzMLc6WOtNfmqfe5qpZtL1yHX8d1Lbe8lg+kpGTlOY0ahBC3AHgOQBMAHwFYCeBPAPcB2AegjxBioeMtBJ6rhcV47o+dXs/09gc1rDJrTL6+OUZ0CJybHOYZ4Hp4Y0Rr/Pafsg/F5jW9n9n/zO87nT5vHhpSVFo2Iaa0VGCTF+MPfWG8uTsmDmqKe9Lr49bUOsicNgQDW9a0XFB6495u9VUZP+6Io7HIlewughtVLyv848t9uCv2Z0MIgXcX7Tf8c/NfP74L2al+VfynV4ru+zXiBsEb8/checIcTcZLn5GZS/TDhmMu06c+PGurR9mwtPT0gLKLsYjQYNkhkPd1r69nk5hCLrvshBC7hRDPCCF6CSGaCCHaCSFGCSG+E0JUuBlxj8zaim/XHUXP15cZ1oaWtcqCtxZJldGhXhVMuaGFpvu8K70+7tJxeIXW/v1vd6+38cdD6YrWuyW1DtrXrWJ5rMY8r9x8x+MI75250dLj/duWkziecxWHsq/gi1VHMOLTtZZgKMPBuEZHtBw7qIUhrWuWS8XWv3miKttW+0iQ1UnRp2l1u+fKrwMA7erGqdwKbeQXlWL2xuN4d9EBPPT9FkPacPFqIdYfPm/IvtXiw6OmNHPLp2sxe8MxzN5wDO1eXOBV4oLNRy8gecIcvLmgfMaxiVZZSvzJwJY1bB4HW00Ij40MxfpJfXFTe+edZj890MXy+18PK/tOs/bHVh564glXRXYqtLyCYnR6eRGub5OE+3s0QN+3llueKywpRepLC9GlYTUnW9CGdQwUERose6tJCy1rxeqyHz2oUR0uOV6/iWv2nI1XXWw3DKr766YMAsPbmrKD/t+XG/B4v8aWtJeuiqGczc3H5WvFuOYDPd+j0upi1vpjaF6zMnZnOZ8wZx+s+otghRlVXhzWEhszL+CIAYU73HGtqMQS3JjLruvlP99vxsoD55AcXwk7Tl5CKz/+DHPndO7ROAEr9qtfVdMI1un7pq84jEmD3R/pmpNX6LOTf71hf5fM+qPjuuaJSFRQF6JT/aqW31vXjnO7DY/9mIHeTaojVsO7gYFI38GqfmbrsYvIKyzB7I3HbQJvs3NXCi0lifWk1W3AWfel4ePR7bXZeAAysiNYLs3Xm/P3ofGz/zp8zYkLZbf8P1x6QPG+ur66BP3eXq5bMSFrcXYf6JOvb4FFT/RAfQXpLx3FsF+MScXssZ3VaJ7qkmIdf1n2bWbbIx4RGow0qy9OX1VklQu4SEFe4ANncp1miDh3pQC3fbZWUQXauTtOIze/GDtOmsb5Cp8eoOOcOxeTnZKruF7JT7k7iXzlgWy0n+q7o2PbeDEXxf4zzvocecXJJHS13fv1Rt32FSg4+IbpdrpcsvggHz06Wt3+75pSDYNbuVeB0zyZjXlOjRnol64V4cOlB1HopMJgaHDZCV1Uouwcys0vsvSyHz53xbtGesA+q0tYSBBSqisrve7oYqFvs0R0bhDvddu8ERPh+qZjdLhpHXNv1Bsj2mD1hD5aNksT1heKB86WnUM5eYW4Vlj+bkr/d1ag39vLHaZ7+27dUaw/kmNT1EypnSf9N71g1agwxev62Qgxtzz43WbXK1m58wvfmiBuz9F5roR9z3ew9DguKtTm815rm45ewIkLVw1Pq+hPFP3vSCkF7yCi56XHdYmok7ZN08+7iw4g5Zl/y1U84yIMrgXyh7weejROUGU7szccc7nOWgdjXp1VKbPODDF3x2n3G6YRc4aZZk4mr/rq2zc2MtRhz73122n9pL549aZWeKxvIwCmv1nNzAXxlZQHc95YeeCczePC4lLc/dUGtJ+6ENd/uApXC4vLBSDZuQUY9tFq2e1V1M8cd0rJB/IhWn9E+SRMR5lNAoV90S9zzGLEe6Tba0uR9soiJE+Yg/m73P+uuFpYjOUBMlRKCaWXRh8D6ALgdulxLkzZT/xGflEJer+5DGsOnSv33CwpcJny1269m+URNYucVI/xttc1kD/m1TWuV8NyY07rx0ep8kHpzVjanm8sQ/KEOSgtFZi+4hAuXSvCzNVHsP3ERe8b5iVHh8YcWN/bzfFMfi1j7/dGtvP4tUTlvxzl2lopPAS3d6pb7gu2qkzQ7O45tHfqQKyZaEwv+v4zuVi6z/Qle/DsFTR/fj6GfbQaF6+WH04w+L2Vlt9LSgV2niwLpnz02kozlcKVT9FScmfFn8ndMZEzXufiPXqzH3aixt36atGeX5Sbv4esq32v2J+NXzeXz6s+b+dpJE+Yg0xpzsr/ft2BMV9usDwOdEr/q9KEEA8ByAcAIcQFAPp0m6jkyLk8HDmXJxtgm8cO/rjpOJInzLGMSwz0HpaV43tj4RM9HT7fIqkyxnSph49GOR4H3i1FnZ7biuB/A5vi70e62fTICqhz+WKePOmJkxdNY8FHz1iPV+buRZspCzD579244UP5nke19W+eiB/txmBbUmY5ODgjpBn8nZIdj3lWOnHREz1VumNhFhlq+ntbJLmeEPjPI90w8+6OADzv3Y8IDUZ4iDH5+x1VhJUbw22eVFtYXIr+by/H0A9W2QTguflFmLHycLmheMUlpSgoNn6CsFHu7FzP6XvD35Uo+HKev+s0dgV4FdPgchMuzT3fnn+rOLubqFRuftkogv/7cgOe/HkbTl/Kx4YjORBCoKRUWIYPLdht6iU/KA1Ju+JDRbm0pDT4LiKiYEhfhUSUAEDfaesKDHhnBZ74KUP2OXM1rn1ncl1ux5zVwVcn56h1UVCnapTTfNdBQYQpw1qiXrzjyW1DWtfEzikDbHKCVxT2kwGVUivHePKEOfhxo+vhJko5GpaiNQLKnWPmrxRHp3rXlGrInDYEdR1knHlmcDPER6tbzc2Voa3dmy9hrUqlMPw6riveG9nW5bpJcZHo1aS6y/V8VR+ZyeuA47G5yRPmoOlz/+Kw1CN2Jrcsw+3Uf3bjpTl7sMzudvXQD1ahybPzVGqxb6kUFoymNZzPewgJDsLLN7bUqUX6U1LY7oFv3Rsb7o/MHQzmu2GW4NuwFsGmHdZzkPq/vRy3frYW0+btRcNJcy3LD569gru/2oA90oX2xasVY9y40uD7fQC/A6hORC8DWAXgFc1aBYCIBhLRPiI6SEQTlLxm35nccuVOS0oFBr67As/8rjyP577TpgD9ZyclaFmZaDduhwaK/s0TPU5ld0962VAJgndpDz2ZdOZrgogQGix/LD3twbmjcz1vmuSREDd62uWGjnWoV8WtoQXWfLWjwB2nZYqfmMllePp503H8Kn3eF9ilwdx72nUni7/a9eJAzHush8v1fHXOgxoe/WErTlzQpry9PzEH3+Z5O76SJILIlFv/B6u5SLlSj/Znyw/brPvTphOWYWgAcMcX6/H8n86LyAUCRf9VQojvAYwH8CqALADDhRA/a9UoqZf9IwCDADQHcDsRuVXTubTUdGsjr7AYe0/n4twV5emJnvxpG9YeOo/ffTR5vC9+zV7XQp3iJRVBiN0sdG8mvhmR/k9tREB8dLjN8KZHpEmG4aGeDY3w9cBDbtw2M+WUd8WcseTUpXxLJpVAHyLoCX/Nc6/U5ysOu14pwJnng5gvTn0lSURBUSnavrgQL/y1y6PXf7PWNzqVhBD4dt3Rcsk41KA020lnACeFEB8JIT4EcIKI0lRvTZlOAA4KIQ4LIQoBzAYwzJ0NDH5/JRpOmisbmuw9fRk/bDiG5AlzsPpg+QmYx3Ku4vbP13nUcLXVqapedgMtXd8myegmKNKubhyeHeJ+kQZ7ag0n9raHdofV+Fd/Yc5UMrxtEm5NrY3JUnXWIVbDNh7s2RCZ04ZoOm7bSI/1awxAnfGVQGBchAFAp5cXe/Q6jr3LC4wzwrGvnQRo/twr7s5kWfPdNvNFqCX4NvgNoWR4rxInL14ztLLysv3ZeO6PnXhpjueVVR1RepPiEwDWSX7zpGVaqQXguNXjE9IyCyIaS0SbiGhTdrbteL+TF69Zbjs+8dO2chsf+O5KS2q20TPWq9pwtf39cLdyy0Z1Mja39h2dfT+39we3t8PK8b3LLf/9P+m4r3sDr7cfpsJkte6NqqFRYozXHy4j/Kxy2+4pA/DGiNZ4+cZWeH1EG6dV2Dw9NHp3AN3p4CLKvlQ8YAqKwqULELWaqeWwk8/u7KDZttXirOIrc+665omKilb5Ikefnf5UzdK+g23jM/1k13vlxlb4/j7bPs/I0GDc0CYJX0kTsIN9ZMy3Gn7fegLp05bg500nsCfrsmxhOa2Zs+rYF3Zats/1nANXlAbfJKzOciFEKbQtTS/3nWRz5IUQ04UQqUKI1IQE28wDS60mYyzcfUZ2B/7yWR0pkxmgaU1lRUa0kDltCF4arl/lLE9d3yYJdaqqV/69X7NEdLEqzOJojLInorwcM7/p6AWVWqKPkOAg3JJaR+H4ZtMb9Y0RrTF1uPIJZHr3BNtXnzR7xsFdFvPFgbcXCa1qxQEA6juZFO3M3Ee7u1xnQIsa2DVlgEfb18ujP2w1ugk+R+kQhBeHtcTSp3pp2xiN1J84VzZF5ZnLrquf+ooQu4HaEQ6G2o1Kq4v0lGo2y4gI79/ezlI0jKRNGdlbrJbHfzR1nI7/dTsGvbcSby/ch8V7zuCWT9fYFF9bsT8bW49p8x34ybJDssvv+sr7ip5Kg+/DRPQoEYVKP/8FoOWAqxMA6lg9rg3AaR1367GCz/7herC+v6SzsQ4ipki35xtUizaqOT6hUXX9//4ZY1IxY0yq5fHoNPUm9L00LHCzEtjr4mZlyRpSufW+zRId9i7LMWLoo32wE+akwlyzGpVxT3p9fDLau17l2zvVwcLHe6Cr3ZeyUs2TlA178XQiKDNOgtc1HPzDET/PC+2sKrG7fCXbiRbWHDqP/3y/BRszL1gmbwKmVIY3fqz+nY5D2Vcswzoto3mEwJK98h267lIafD8IoCuAkzAFxmkAxqrSAnkbATQiovpEFAZgJIC/HK1cWFyKlfvLj9125uh533nD9rW6NX1ram1Md3Cbd0zXZGROG2IJSCqqQS1r6Lq/x/qZJv9ZByBNXKT6ckeVSmHYPvk61bbny9wNir+8qyPeva2tX0xQvFvKYuMolWSK1UVjUBDh+eubO0yVqBQRoVGicXfCfMl6g1Jl+qqKcsFkH3jNWOlfEzHNdRbU4Orj1TzfZpkf3um4VliCAulCpc2UBZizPUuzfQkh8Ob8fZbHpdL1Uf2Jc3HPzE2q7ENptpOzQoiRQojqQohEIcQoIYT3g14c768YwMMA5gPYA+AnIYTDabP7zuRip5tlZH1p2Em01QSL10e0wXUtyoJLH5m87JH1k/pqsl37bCFGUHPYCQBEeZjVI9BVj4nA8Ha1XK9ox4i3TVS46f9QLvVm/WqVyhUSYuq6bbppknwg3HJXm/U8nf8NbGrznD9/x8jRYnKcv3H0FvjmnjT8t28j1PPyot8I9ulDH5q1RbN9/bDhOP7dedryeN6u07LV0b2hNNtJAhFNIqLpRPSl+UfVltgRQswVQjQWQjQUQrzsav2vVmdq2RxNOfvsc/Tc+7e3w+s3t9aiOS4LOMiRa6eziXTe0DsDhnUVsXZ14wDAsOqA/kbJmGIt6J1mTaBsEmVSXNl5H2BxjV/40o+/C7TSunac5Xdz72cgUXPohj8zfwY92LOh7PP1q1XC4/0bl/t8NGIop9ZW7M9Gl1cXI7/I/Uq3R85dKbdsb5a6tQOU3pf6E8BKAIsAVNyavRrxJFC4QcPUfr+O62pTHlbOh6Pa2dw90LOvqZnOE05Drb6sfv9Puib7CNScvM2TKuOWDrXx82ZTwSpXnZJhwUEoLPH+i9SIo1m7ShQ+uL0dOtWvirRXbFPmWffGBur/tS9InjDH6Cb4vEA8+xo/+y9eu7kVFu7W7Ia8aga3qoG5O047XSc0mFBU4v63akhwEDKnDXH7dT8+0AWHs8sHnP5s6j+7kXUpH7d/vg6dG8SXu+PjjNz31Iv/7FaxdcrHfEcJIf4nhPhJCPGr+UfVllRgTnu+ifDM4Ga6XplWCg9xOa58aOskTS8ArN3VNdnmcaPqngXfIzrUVqE12rAOziYMKvuQ8Nex4BMHNcVMKf2VO+Y/3kNRiXVXjIpvr2+TZDPm2zrQNt+xiXMwJtxoDRIq+U1dAaPdLpPuVct0fd6ez0OtcugHqv/9ugOL9qgzGU5LSbGu32P2F+i1q2j7vqxaKQypyVUdPq9WPQK1vbNwf7llu09dxoyVh3HgrOliYuuxi/hk2SHsP5OLPAWJNlbsz8aMVUdUb6s9pcH3P0Q0WNOWVDBv39qm7IGLD9b7ezTAwid6atsglaTWq6L6Nns2SXC9kgLD2jq+WGgvDSfxBdWiy7IUVI7wzUDNlQd6NkSvJjI5rl2c6/WrVcKwtu6P8S6/H+P69+R2LQDERYVh6vCW+PY+LeuTeW7Jk72wcnwfo5vhc1rWKh943Nutfrllfz2crkoBLznens1RYWU3uW9qX0t2XoIaWteO1WS7/mz5071sHsuNt/7nEdt6HsF2HyJy3wOf3qFf/n1HSSCM9t7iAzaPVx04h8Hvr5Qd93/dOyvw4HebXW7z3UXlA3otKA2+/wtTAH6NiC4TUS4RXdayYYHO+g3oLCexv90i9KepTje1NwV5Gc/3x6z7jZ0MZx0sqj2Zk2nP+svR/H6uGRdhef+ab2zc2bkeasX5R+/y2B4N8Pt/uhrdDMP1VngRGRMR6rSHMtlHJrnFRYVhSKuynnBvPm3sOzRa1jIF3+a0uAyoZ5WDf+X43pZOCXOHT5WoUMtxM1MyrWmgzlm/zBom+GZBplnrj+GOL5wXTdyYmWP5feHuM3juj534Zm0m+ry5DMXScMfzeeXzxmtBabaTGCFEkBAiUghRWXrsm/ch/EbZu8v8Qf7qTeWL1/jL8FBfbeZEqyEc9hc5b4xogz0vDkRcVJjDwgZ6sW5Zq1rce+QNrSYiOzL9zg7oYHXHJywkCB+Oaocfx3bRtR1qmzS4GdrVVf9OVkVVz8NCSID6d3KGtlFnGEpnu7z9IU6ixipR/nkXT011qkahTtUorJ3YBw/3SQEAtLKaDGumtEASKzPp9x0u18kvKsXh7CvIzS/C/d9swrfrjuL5P3fh8Lk8rDucg9JSgaPnr+rQWuU93yCiKkTUiYh6mH+0bFigs35vmX/VOYmHqrTs8Xa3MIu1B6xmfduX4A4OItkKokYICiLMvLsjNkzqiwYJgTXz3Ppc1yML3K0d67heSUXWqUHNhrZOqnD5+K2HSwWSATL/v56cx96c+mp/NVh3RFTxIof+yI51cHP7srk01sfFl4by+ZqasZFITa6KGpUj8LhUR8Kar8XeNp/h0r8dNBhiqoc+by1Hq8kLyi2/44v1yJGplqoVpakG7wOwAqa821Okfydr16zAZ/0hVVY9qfx6/pYZgWAa46ZmirmI0GD0a5ZoeSyXKuvh3ino3sizKn+O9HNQMlwrvZpUR3WN0jMaqSKnXa4RG4GosGCbSbT+rkdjdeZg+Av7IQFylIyhjgz1PMWfll8DoVLdBE+GuxGR7PAHIuDnB22HLPlSbQ1fUDkiFOsm9bXcXerfPBFPXdcYgP7pdN3Ro1Hgvv/7vb1ct325M+a7I4CjQojeANoByNasVRWA9YepuWiMn8XZsgRMt1fty1Y/0LOBW9s59Irj+b2JlSNsJ6xKvr1X3YlsWvVAt5SOzT3p5SdtBTotz/FH+5bvQTJaRGgwdr84EINbBU62iQD4mFKBKZKs7qCEe8fkKmhjN/kwNjIUH9zeztBJieYJ8XLvww9ub+fRNuUmpMpdcJdaLYyJCMET/Rt7tL9A9fn/peLhPqbPMPsaGeFeXLipwboT0FzHIBCLWV28WqTbvpT+j+YLIfIBgIjChRB7ATTRrlm+JcZJr4Ya40v/N6ApxnSpZ1PJr7mPpvZxxNEXctMaMUitVwUTBynPAhBE5a/8zQ/NQfxN7fVLG6h2sBEfHY7MaUPQu6m+PetG0eui8on+jT3Kccvc4+j/MxA6D5RoXTvWElw6+purRIXh6QFldzsSYsJxb7cGuL5NEkZ2LJ+m0BVnk/KVOvDyIPz4gON5CFWiPBt+UjM2EkdeHYwjrzpPiGZdmGzF07198mLZW50bOE7X545v7ulk+f2xfo3w8ej2qmzXU9FW2XJCgkxhIxea847S4PsEEcUB+APAQiL6E8AprRrla8b2cNxrm+wgt6s7QUBsVCimDGtpczLPuj8Nv47z/0wD8x7rgV/c/Dus02KZvTS8JUan1cVT18lf82n5xW/E9f2YLvXQU8Pb+7d30m9ctPm2NgsMFWUyWMbz/ZHxfP9yy8MVVog0H6auDeOx8Zl+aCJVDnY28fB6q9oJo9PcD9KdCQ0OsnRqyP0PejPUgYhsekflTpFbUss6TLwZZ+7L0up7Pj/JmvXww8f6NUZNq9zgs+5Lw7he8hUstRJrdc72bJKAR/qkYOpwzmjjDaXZTm4UQlwUQkwG8ByALwAM17BdPsXZd02ph7deXH3MxUWF+dWEBm8C1Beub27zWO7YVK8cgZdvbOUwkGuR5P2dguFS2qyY8BCseLq319vzxpRhLfG1Ve8HYOoBUeuCTItxe46+u8cPbGr5/wnAO5V+b9Oz/bDteeXFnNJTlM+tePOW8sPD/EVcVBji3O4Ndh3AOksRZz3u+rF+jTF1eEsAzmsUqKW9NPa4gQap5G5qXwuhCoL7rzwozOVrXru5Fb68K1Wz7XdNqeZWtUa1BRHhyeuaePDeYNacBt9EVFn6t6r5B8AOAKsABFZKBg+Zg+92MjO7/+vktlpFjEHMOXBHdqxjU8Xwbruxz0qPzdRhpivvmrERGNjS+zG13aWAtF/zRNS1ycPuG2rFRap2QaZn52VsZCgmDdam+AjzXrXocJueLVfuSU+2edxAuvsn16PbzY1A3Z/Yf0a583YiIvRVOOTszs71sH5SX7wik4bWKzINDgoibH62n6qT5QHTRfnbt7ZV9LkeHwA94rd1rIs+TRNdr+inzBV6uSPFO656vmdJ/24GsEnmXyadgHK3Io3OHa0nJV8+/zzSDRMHNcWrN7XCsLa1vK6G2SjRdBu3TlV1ilcE4t10x7cn1f9jlWTmCbRjXC3a/4MFd1n/P9/ZuR46SmWp7+hcr1xQGWj/32aWMd8qv4/k5vokVo5QfehWpIPvpvjocJvvLUcTSt0RL6WgVBKsqX08nWmcaOo/vL2TusN71OILxdZu6VC7XPXNQB0ypDen+ZGEEEPJ9EnbUwhxTKc2+RxnHxrmPNE1ZFLEObvLZvzbSn9xUWE2ebe/vz8N+YWl5dZTemyUXnl3S6mGVQfPub29sT0a4HD2FY8mSPkKR+dgoAZFetr30kBdgwVfNHV4S0txiyAi3NaxDhbvPWt5PtDPM2d/X+vasageEy6b1cPRR1dcVBiqRYfh3BVt8w23rROnyXZTk6vg23VH0SQxBsFBhDdvaYO0+qaLM/s6C3K0Ol9qV4nEiQvXbJYNblUT+88cQIKTC+i9Uwfirq82YN3hHIfraGXV//rg3JUC3fdr9vU9nZzOO1Ly/8kcc3k5LUz5ZH7XoS1+qV3dKnjzljZ46cay24Lm8tE80cy58JBgt253e6pHY9Ot79pVlPWQmz//q0WHY8aYjrq0UW9qfsc92FPfyT++IjwkWDbnfEUWYtVbd1fXZM0uTtQq6FO1UhjC3Pycfqh3iiXwMPcS35JqmsDcpWE86sVH4dG+jRATEYoNz/RDanL5DBhyadr6NUvEoJY1dLmdr7R+hLvB8LC2tbB2Yh+kSYXRRnSo7dadycoR+n3Wyp2bu18cYPl9SKuaiAgNRpiHWT1GdKiNh3uneNy+xMoRaJGkXVrKDc/0NXxuU0XmujKAyToi6iiE2Khpa/xA5rQhSH1poU3PxIgOtmnvfri/M4CKNa7bl//W+7s3wPB2tVA9RlkBG1/9WzwpuOQo+FGzeNNT1zXGp8sPqbY95r96Nq6Oh3un4J5u9VG1UphmPXddG8bjr23uJdxKiAlHdq5te9ZP6gsAaPTMvzbL+zgYk23OYrUn6zIAICw4CHunDrQE8LGRoVjuQUATXykMM8ZoM0lPjbf6P490Q2RYMMJDgtDttaVO17XOzGFNyUWF9VwbNcRFhbqVuzkqLARDWtXEnB1ZioorOePrk42Vfh8ybSi95O8NYC0RHSKi7US0g4i2a9kwX+JuMGb+AHGWhN5XAzyj7JisPNuCPVffLUSk6IMm0G+RW6scofS6u7zv7k1Dx+Sy8frW5/Lbt7bBwsd7eNEyZrS/Hk7H80Obu15RRnAQ4akBTVBVGheq1VvKk+wfcm0JDQ6SvUM5/c4OircbERqMIBUrEqr5ObThmb7Y+lz5dImumMdDm1WLDkfDhGjFdw99xd8Pd3P4nKNhE7WkxACe/JdWpO8QDmK8o/QbeJCmrfBTT7qo0OVpGkJ/5O1nTozM7caqlcKQk6ft2MeKynxb2BPdGlXDR0sPyj6nZ/Ejpo3WtePQunac4vWdfcypeYfFWt9m2maTCAmQIYOe9m7+/Ug3FJUIrDpwDlP+3mW5mLLdtntDf4z4NqxdJRJ3pydjdFpd9Ht7hfxKLs5RV2fw/3Wph2/WHgXgeaEiZissJAiFxeXngwUSpXm+jwohjgK4BtN7yPxTodzbzTYl3kgXs6Sdfimp0aAAc590fFtJ5ZdXju/tVv5hbwXCtZLcxF/GtGV64ygtvmOeE6O3VKu7Nd5yVeHS34WHBCM6PAQDW9bA2ol9Zec2bHimn1vbHN62VrllXZx0Aowf6H0RbSLCC9e3QEr1GJvlG57pW/bAxQe/q68F60xn5gQMgejbezth1n1plsfufF02cFCMsCJTFHwT0Q1EdADAEQDLAWQC+NfpiwJEzdiyYCbKzTeWufckxskt/k4yk3EqKnMOa/PxqhQe4nSyI8+2Lk+vYCBa5pwO0DiEueBuJ8NDXkxC88Zj/ZzfqXRH5UjT+e/phDhnn1yB0Akgp0mNGHwxJhXLnuplWeaoQjQApDfUJkd85YgQzcY7B/JnYPdGCejqYd5+d5NPWB/HeY+pm3feVyg9IlMBdAawXwhRH0BfAKs1a5WP+G/fRljyZC+PXz86rS7G9WpomdRj79ArgzF7bGePt+9L4qQg2X6soD8J1F4sLZgvSicNLqu0VlHKjjMT+/e60v9+owrvBBFh4eM9sOTJnl5vq3aVKPz2n654+caWKrSs4ujbLNFpwG2tac0YNNSg2mY5didu7yamybadpV75ivapZk6t2yQxxsWatjomV8FdXZMRIjNY/snryi58nx6g/I7GS8NbIjk+MHvNlY75LhJCnCeiICIKEkIsJaLXNG2ZD3jcxZhuVyJCg52WgQ1WcZKO0VKqx2D22M5e5Y/l2E1dG57pi2+lsYiemnZTK+w9nYuZazJtlj/erzGuFZbgzs7JCA0OwiN9UpyWzWaB5Z9Hulkq1irtqa0SFYoLV4ts3ufW42X10MhFQFE9Jhxnc5VlaDGXY/eE/TGzfljRPwd/HdcVBUUlCA8Jxvf3dUbnVxcjsXI4zlxWJ3NOZxfzXbo0jLdktXFkxdO90eMN51lf/NWQ1jUxpLXzvx8ofw6/O7IdasVFYtb6Y7C/t3NdC8++G65rEbiVQpUG3xeJKBrACgDfE9FZAMXaNcu3mDNDmHOQvnVrW7y9YF+5csqLnuiJ/KISRdtsUsO9q0p/4OpDTStqfVn5y+3eYW2T8GeGfJo160MRX8n7XMjmeQ32wXeVSmF4wyqV1pPXeT8+k/kPuTRscm9D6/emP3Q2LHyiJ3LzlaemY+rr4GXlY1fev72d7QIXH/z1q1XC8v3ZNsvqxkehckQILudXmDConKhw22G4oRq8vwO5iJnS4HsYTJMtHwcwGkAsgBe1apSvuaNzPQQFkaUMbc/GCbKVn1KqKx9yERXmeaq3QOUvwa/RnH0caZVdgjFH9J57cZtU0EYLsZGhiI3UvtBLnarGTDr1N+YAr3ujBPyy+YQq2zQXRlJq4uCm+HdnVrmed/NnrZLvra3P9Q+4YXmeFkRy5zAE2CGzoXTM91gASUKIYiHE10KI94UQ57VsmC8JCQ7C/3VJ5oqVOlF6tdu+bhWk1quC5+xyEsulxVK03wB4o1uPQQ2AP4f5Edfvn/IruHvBnTltCF4b0dq9FznQ1MC7j88OaY5P75DPJc6dEGUqR4Ri5fjeeMWqgrTqXJy44SHBsp1ts8d2xtgeDRRdrFWpFBaQlZIXy8yfUCPji3n4ariPVhC2L6zoCaXdr5UBzCeiHACzAfwihDjj9d4roLT6VbH+SI7RzfBpSnvSIkKD8cu4rjbLMp7vH7AXSRGhzv+uB3s2RK8mZZX53Cn8UbdqFI7lXPW4bazi8iZYNKoWwv6XBnlUREUtEaHBPEdCIXfK0+upWc3KaFazMj5ccsDophimYUI0ljzZE39knEKClPf9+jY18d26Yw5fo+QOwIej2uPkxWuIiQhFQbGyobx6qq9C6kSleb6nCCFaAHgIQBKA5US0yOu9G+CF651XbmuRVFnT/X91d0csf7qXpvuoyOKiwlApPDCH9AxuWdPp8+723H91d0e0kXoYtO71N6fpTOQ85AHHHD7L3bGSXeYDt2TCQoLcLqSTWNn7ORSOWPeC+8Lx0UulAMiLfYvVMKiKOOyvQUI0nujf2PK3uwquoxV8P0eHh3iVvEFrzqqXK+VuF+FZAKcBnAdQ3cW6DhHRG0S0VypV/zsRxVk9N5GIDhLRPiIa4Ok+5CRWDsdN7ZzfLlByYngjKiwE9QI0dY5aAnmShTc8KWHt7BW9m1THu7e1dbmeGtrVrYK3b22Dl4ZzarZA859eDdEkMQb9m5fPTFDJalKW3Hey9VfYxEGOM0PJ6dfM468gWc7GYa+e0AcLHvc+RaEjnepXzHoPT1zXGE8ozCr2uIp52gEgXUp5md7Qu0QBiZUjcFN7UwEhNYIyf9dImvs2yO7Ozt6pA/HskGYY2VG7ORv+RFGkSUTjANwGIAHALwDuF0Ls9mK/CwFMFEIUSykLJwL4HxE1BzASQAuYetgXEVFjIYTT+w61q0TC1Y2JOY92U1T9j986zF919yB/sp5fFlx6PjA1SIjG/Md7yD5n3bssd4FXKy4S3VKqYdXBc2ju5l3Hj0a3x6mL+ej95jK3Xidn15QBTrOxGFWVU0t3dq6HLl4Gnt6KCgvBo30b4e2F+xWs610v+ZoJfVBUUlayvGNyVRx8eZDbd0CYc3d0rofmSbE4ej4P/+48bVkeERqM+7o3MLBlvkVpN289AI8JITLU2KkQYoHVw3UARki/DwMwWwhRAOAIER0E0AnAWqXb3vpcf7SburDccnMlsktXnaeR4itX43HlSvdkThuCopJSj8a6W4YMVMDbpcwY1ucaEdCmTixWHTznsurgeyPb2jwODwlWZewlgIAdqubMVD+7C+Xt90KSzAWUu4F385qV8cP9jgvj8eeo6Rh0qFcFR8/nqbO9AL0TrugTRwgxQcM23APgR+n3WjAF42YnpGXlENFYmLKwIKF2fXgyJaN7o2pYeeCczbJS6f1tTivI9NO3WSJuS62DJ65T9/ZiRWAdeEeHh+BKgbL8s+ZrzcD8eGO+RC4uIRCe6N8EQ1olydY+WD2hDzYfvYChrWo6HHb16k2tMPG3HWo3l7FyxnStF5BZS3yN0gutSmHByCv0vQmZSmh2v4WIFhHRTpmfYVbrPANTsZ7vzYtkNiX7vyCEmC6ESBVCpMbEeFbSvHlS5XITPsyz7/lOlP7CQoLw2ojWPCnPS6sn9MGGZ/oCcKNnh6NvZpDgIHI45KRWXCRuaJPkdL4Dd5RUDHxT2r+48//12s2epZL897/yw93M1EhVWDNWm3hEsxBTCNFPCNFS5udPACCiMQCGAhgtysZ6nABgPRq/NgD5Un5uiHSQVH9Iq5o2qdkAoLSU3+EV1eBWNTG8bZLbE7/05urWZmxkqOUW/n3d6+OurslO1ubznenLqOs8HhHg35R+NRuRTWzCwKYY2romhrRynpGKybutY9kFdK8mCTZFCJ29b+vGa5OG0rpg4qN9G2myD0P6d4loIID/AbhBCGGdXPgvACOJKJyI6gNoBGCDN/uaOKgpFshMBqocEYLWtePKLa+h0VUO830RocF4d2Q7VA+gnveosBBMvqEFQhz0HFoPO9n/0iD9Gsb8zqz702SLaigVqGM3mT4c9UAeeXWw3Xr6T46tXjkCH45qr0qBmUDhLGg+8upg3NAmSfY5551F5TnqXPXGHWnO76apcRfGqMEVHwKIAbCQiDKI6FMAEELsAvATgN0A5gF4yFWmE3vW/+GZ04bggZ4NZZP0Ozp26R5kjGBMS3Xtzl9PrsQdfRBaT7gM89FqYsw3dG1YDQ0TPBviZ69atHY5s/3JkNbcU6rUsLZJ+Oqujpg91nbCox6THB/s2RANEyqhf3MujKQGIsL7t7dz+Jw7lo/vJbv85RtbqnK363oHFwneMmSKtxAixclzLwN4WcfmyOJeGuYrfh3XFYeyr1ge169WCW/d0gZP/rxN8TZGp9XDzDWZ5ZbbT7hcOb43Tl28htumryu3LmPesP4ivLlDLXy2/LAm+xneNgl/ZJQfreiLY4Y/GtUeH40yuhXGm3x9cxw+5zw7BhGhd9PqKC0VeKh3Q4xKqydbl4MI+PqeTkhS8S52g4RoLH6yl2rbY+WZE2C4m3HOUZYktYr0ODrHvBVw+ZWUBs2O1oqJMB2SKjyjmfmIhJhwS+leM3ff/M8PbY5bUmtjyPurZJ83b69O1SifLefMmCuVwoLRu2l12eCb+a670usrXjcoiPD0AOfzcno2TvC2SUxnjnq8PY1zWyTFqt6Jaq5JEBsV5vW2Au4+M3n5Fw1rUwsv39gSD/fRZpA9Y2q6sZ1sJs5ygoLIkuvemtKUTtteuM6tdjHmiJYd0H8/0k3DrTN/wPes/ZO7Pd6O5jGpobOD4lNqTvAMuOC7coTzHuvKkSF4oEcD/PhAF9nng4IIo9Pq8fhX5tPUuoVeNuzEdQYVxrxhPsOcfcm+NLwlKkd4fkO2QUI0FzphzI/5wvs3QYc5KQE17OQmBb2ARISJg5vp0BrGfJ8l+Db+844FOOsv1aZSQZ2GCbYVKu/oXA93dK6H05fyce5Kgcr7V3VzzEf54ND+Ci09Rb4XWSlfCMbN1GxJQAXfvny/aeX43shW+cuEVVxqfR6Z5zjIVRdkTCvD29ZCk8TKDovr1IiNqLBpX9MaxGPO9ixEhPLdV0/4cBhQITmaEGnv/u4NsPLAObR08JmgRKPq0Thw9orrFV3Q4wIusIJvT0jv1JEd66Bd3TjNdsMT2ZgvqlM1CrPHdkYbmZz3jGlBCFNvlqPA21v+Hny9dUsbPNa3EWJcDKFk5f3zSDflVX2ZT+nROAGZ04Z4tQ37Tim1O83Nd+zs0/96IrDOUulypVtKNYx2kSTdXnpKNZsqS4xVFJ0bxHNxCBYw/H3YQURoMBol8p0oT7SsVX5SOTOGFqk93c25fUuH2orXfX1Ea1StZMpi4ihmv6NzPfz9cDdVsukEVvAt+e6+NLx8YytlK/v7JzWrkBpVN305d25Q1eCWMMaYsdZM6IN/ONNNQLIOhN+5tQ0ynu+v+LVNa5a/u9bUwRDLW1PruG4LEVrVVucCL7CCby9uMfjQmH7GXGpVOxYbJvVV9IHBmC8wf8Zq0SN2X7f6uDs92bQfaVk4Z6yqMJLiIrnX28doEVOFBAchKkz5aOm+zaojJjwEn4xub1lWRWGObq0qW5rxmG/G/FT1yvpOSJv/WA9cLSzWdZ+MKfHs0OaW3+tJuXjb1Y3DusM5RjWJMaYiJROQ7VPmVo+JwI4pA2yWWde2eP3m1hj/6/Zy2xEA3rutLd6+tY1njVWAuwYYY4o0qRGDdnWrGN0MxpxqXTsOS57siXvcqJrIGDNGSvVop8+bKpo2wZ8PmYYVOetRNz/naptmt3Z0fOc4KIgQquHk3cDq+fbidqYWt0IZ8zW//6crT65kunrntjZoVD0G477frNs+GyRE43B2nm77Y4y5b/nTvVClkuthIA/1TlG8zV/HdUWDapUcPn9z+9ou74jpMQqZe755rDerQNrVrYKmNbRJ8caYnBvb1bYZjyt0muVuv5eIUL7oZMyX1Iuv5LIquRKVpA6lhJhwdKhXRTagT6tvSk4wsGUNr/enhsAKvjmQZowxn2Q/HlMvnepXxZd3paJWXKQh+2e+r0oU51T3F3KjFJ64rgkAoL6THu/p/5eKWfen+Uz+/MAaduIJHm7CGGMBxxzqx4SHoE/TREPbwnzb6gl9UFzKwYC/CglyfWEfGxmKrg2rKdqe/Zkw6/401I5Tt0giB98STjXIGGPa02t+DYdSTCl30tcxY8nFakLjDxWlQbs7AmvYCWOMMZ9kyfNtbDMYYwFKrT5UnnDJGGMsIOh9c5FvZjJWsfjThT0H3xJONcgYY4GDP9IZY76Kg2/uHmGMMd1oPT6TMVYxqRXO6fEJxcE3Y4wxzZHOs9q5X4Ux5qsCIvgOk0qANuPiIYwx5tO435sx5st4wqVClcJD8PfD3XBvt/ruv5i/CRhjTHPxUtW50KCA+NphjPmI/i1qICSIcHtaXaOboljAJLdsVTvW9UpOcJ5vxhjTzsd3tMfC3WdQN17dYhWMMd/TPMk0EqF30+qqbjdICtZ6Nk6wLKsVF4mDrwxWdT9aC5jgmzHGmO+qHhOB0Wn1jG4GY0wHTWtUxu4XB6hewCg4iLD86V5IrByh6nb1xvf/JDwBnzHGGGNMHVpVDq0XXwkRocGqb3fS4GYIDSZUjgxVfdv2uOebh5swxhhjjFVoIzrUxogOtXXZl6E930T0FBEJIqpmtWwiER0kon1ENMDI9jHGGPNP5t6rmnH+fXuaMaadnx7ogvdGttV9v4b1fBNRHQD9ARyzWtYcwEgALQAkAVhERI2FECXGtJIxxpg/6lS/Kj4a1R59m6k74YsxFjg61a9qyH6N7Pl+B8B42Cb7GwZgthCiQAhxBMBBAJ00bQWP9WaMsYA0pHVNTcaGMsaYNwwJvonoBgAnhRDb7J6qBeC41eMT0jId2qTHXhhjjDHGWEWm2bATIloEoIbMU88AmATgOrmXySyT7ZsmorEAxgJA3breJ1bnbCeMMcYYY0xrmgXfQoh+csuJqBWA+gC2kam7uTaALUTUCaae7jpWq9cGcMrB9qcDmA4AqampnofO3OPNGGOMMcZ0ovuwEyHEDiFEdSFEshAiGaaAu70Q4jSAvwCMJKJwIqoPoBGADXq3kTHGGGOMMS34VJ5vIcQuIvoJwG4AxQAe4kwnjDHGGGMsUBgefEu939aPXwbwsjGtYYwxxhhjTDtcXp4xxhhjinRMrmJ0Exjze4b3fBuOs5wwxhhjisy6vzNKSvmLk/mvpwc0QcdkY4rrmHHwzRhjjDFFQoODwHWLmD97qHeK0U3gYSecapAxxhhjjOmFg2/GGGOMMcZ0wsE3Y4wxxhhjOuHgmzHGGGOMMZ1w8M0YY4wxxphOOPhmjDHGGGNMJxU++B7bvQEqhQWjS8N4o5vCGGOMMcYCXIXP892mThx2vTjQ6GYwxhhjjLEKoMIH34yx8lY83RuX84uMbgZjjDEWcDj4ZoyVUzc+yugmMMYYYwGpwo/5ZowxxhhjTC8cfDPGGGOMMaYTDr4ZY4wxxhjTCQffjDHGGGOM6YSDb8YYY4wxxnTCwTdjjDHGGGM64eCbMcYYY4wxnXDwzRhjjDHGmE44+GaMMcYYY0wnHHwzxhhjjDGmEw6+GWOMMcYY0wkH34wxxhhjjOmEg2/GGGOMMcZ0wsE3Y4wxxhhjOuHgmzHGGGOMMZ0YFnwT0SNEtI+IdhHR61bLJxLRQem5AUa1jzHGGGOMMbWFGLFTIuoNYBiA1kKIAiKqLi1vDmAkgBYAkgAsIqLGQogSI9rJGGOMMcaYmozq+R4HYJoQogAAhBBnpeXDAMwWQhQIIY4AOAigk0FtZIwxxhhjTFWG9HwDaAygOxG9DCAfwFNCiI0AagFYZ7XeCWlZOUQ0FsBY6WEBEe3UsL0VTTUA54xuRADh46kePpbq4uOpLj6e6uLjqR4+lupq4s2LNQu+iWgRgBoyTz0j7bcKgM4AOgL4iYgaACCZ9YXc9oUQ0wFMl/a1SQiRqka7GR9PtfHxVA8fS3Xx8VQXH0918fFUDx9LdRHRJm9er1nwLYTo5+g5IhoH4DchhACwgYhKYboqOwGgjtWqtQGc0qqNjDHGGGOM6cmoMd9/AOgDAETUGEAYTLdD/gIwkojCiag+gEYANhjURsYYY4wxxlRl1JjvLwF8KY3TLgQwRuoF30VEPwHYDaAYwEMKM51M166pFRIfT3Xx8VQPH0t18fFUFx9PdfHxVA8fS3V5dTzJFPMyxhhjjDHGtMYVLhljjDHGGNMJB9+MMcYYY4zpxG+CbyIKJqKtRPSP9LgqES0kogPSv1Ws1uUS9S7IHM/JRHSSiDKkn8FW6/LxdIKIMoloh3TcNknL+Pz0kIPjyeenB4gojoh+IaK9RLSHiLrwuek5B8eTz00PEFETq2OWQUSXiegxPj/d5+RY8rnpISJ6nIh2EdFOIvqBiCJUPTeFEH7xA+AJALMA/CM9fh3ABOn3CQBek35vDmAbgHAA9QEcAhBsdPt97UfmeE6GqdiR/Xp8PF0fy0wA1eyW8fmp7vHk89OzY/k1gPuk38MAxPG5qfrx5HPT++MaDOA0gHp8fqp6LPnc9OwY1gJwBECk9PgnAHepeW76Rc83EdUGMATADKvFw2D6IIT073Cr5Vyi3gkHx9MRPp6e4fNTH3w8HSCiygB6APgCAIQQhUKIi+Bz0yNOjqcjfDyV6wvgkBDiKPj89Jb1sXSEj6VrIQAiiSgEQBRMNWdUOzf9IvgG8C6A8QBKrZYlCiGyAED6t7q0vBaA41brOSxRX4G9i/LHEwAeJqLtRPSl1e0UPp6uCQALiGgzEY2VlvH56Tm54wnw+emuBgCyAXwlDTGbQUSVwOempxwdT4DPTW+NBPCD9Dufn96xPpYAn5tuE0KcBPAmgGMAsgBcEkIsgIrnps8H30Q0FMBZIcRmpS+RWcb5FCVOjucnABoCaAvTyfaW+SUym+HjaStdCNEewCAADxFRDyfr8vF0Te548vnpvhAA7QF8IoRoByAPpluljvCxdM7R8eRz0wtEFAbgBgA/u1pVZhkfTysyx5LPTQ9IFynDYBpCkgSgEhHd4ewlMsucHk+fD74BpAO4gYgyAcwG0IeIvgNwhohqAoD071lpfS5R75zs8RRCnBFClAghSgF8jrJbJnw8XRBCnJL+PQvgd5iOHZ+fHpI7nnx+euQEgBNCiPXS419gCh753PSM7PHkc9NrgwBsEUKckR7z+ek5m2PJ56bH+gE4IoTIFkIUAfgNQFeoeG76fPAthJgohKgthEiG6XbKEiHEHTCVoh8jrTYGwJ/S71yi3glHx9N8QkluBLBT+p2PpxNEVImIYsy/A7gOpmPH56cHHB1PPj/dJ4Q4DeA4ETWRFvWFqXown5secHQ8+dz02u2wHSbB56fnbI4ln5seOwagMxFFERHB9F7fAxXPTaPKy6thGoCfiOhemA7ULQAghPC0RH1F9zoRtYXpVkkmgAcAPp4KJAL43fT+RAiAWUKIeUS0EXx+esLR8fyWz0+PPALge+l29GEAd8PU6cLnpmfkjuf7fG56hoiiAPSHdMwk/N3uAQfHkr/XPSCEWE9EvwDYAtPx2QpTOfloqHRucnl5xhhjjDHGdOLzw04YY4wxxhgLFBx8M8YYY4wxphMOvhljjDHGGNMJB9+MMcYYY4zphINvxhhjjDHGdMLBN2OM6YSIHiWiPUT0vdFtURMRvWuu7EpEy4go1eq5ZCLa6eS1CUQ0T492MsaYL+DgmzHG9PMfAIOFEKOtFxKR39ZcIKKqADoLIVZ48nohRDaALCJKV7dljDHmmzj4ZowxHRDRpwAaAPiLiB4noslENJ2IFgD4RuoB/pWINko/6dLr4oloARFtJaLPiOgoEVWz71EmoqeIaLL0e0MimkdEm4loJRE1lZbPJKL3iWgNER0mohFWrx9PRDuIaBsRTZO2scXq+UZEtFnmTxsBQFHPNRHNIKIM6SebiF6QnvoDwGgnL2WMsYDht70tjDHmT4QQDxLRQAC9hRDnpEC5A4BuQohrRDQLwDtCiFVEVBfAfADNALwAYJUQ4kUiGgJgrILdTQfwoBDiABGlAfgYQB/puZoAugFoClNZ5F+IaBCA4QDShBBXiaiqECKHiC4RUVshRAZM1RxnyuwrHcAvdsu+J6Jr0u9hAEqlY3AfABBRPenvM29vE4CXFPxdjDHm9zj4Zowx4/wlhDAHqf0ANCci83OViSgGQA8ANwGAEGIOEV1wtkEiigbQFcDPVtsKt1rlDyFEKYDdRJRote+vhBBXpf3kSMtnALibiJ4AcBuATjK7rAkg227ZaCHEJqk9yQD+sWpfBICfATwshDgqLT4LIMnZ38UYY4GCg2/GGDNOntXvQQC6WAXjAAApgBYyry2G7dDBCKvtXBRCtHWwzwLrzVv9K7ePX2HqeV8CYLMQ4rzMOtes9q3EpwB+E0IssloWIW2HMcYCHo/5Zowx37AAwMPmB0TUVvp1BaTx0NLwkCrS8jMAqktjwsMBDAUAIcRlAEeI6BbpNUREbRTs+x4iipJeU1XaVj5Mw0M+AfCVg9fuAZCi5A8koocAxAghptk91RiAw4wojDEWSDj4Zowx3/AogFQi2k5EuwE8KC2fAqCHNPnxOgDHAEAIUQTgRQDrYRrWsddqW6MB3EtE2wDsAjDM2Y6FEPNgGv+9iYgyADxl9fT3MPWKL3Dw8jkAein7E/EUgFZWky7Nf2NvaTuMMRbwSAi5O42MMcZ8ERFlAkgVQpzTaX9PAYgVQjznZJ1VAIYKIS56uI8VAIYJIZyOZ2eMsUDAY74ZY4zJIqLfATREWaYUR54EUBfARQ/2kQDgbQ68GWMVBfd8M8YYY4wxphMe880YY4wxxphOOPhmjDHGGGNMJxx8M8YYY4wxphMOvhljjDHGGNMJB9+MMcYYY4zp5P8BHP6E3ZbwKf8AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# same as before but with labels\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "ax.plot(freqs, 10*np.log10(spectrum**2))\n", "ax.set_xlabel('frequency (Hz)')\n", "ax.set_ylabel('variance (dB)')\n", "ax.set_title('Twinkle power spectrum')\n", "ax.set_xlim(left=400, right=800)\n", "ax.set_ylim(bottom=-60, top=60)\n", "ax.text(435, 50, 'A', fontsize='x-large')\n", "ax.text(505, 50, 'B', fontsize='x-large')\n", "ax.text(550, 45, 'C#', fontsize='x-large')\n", "ax.text(600, 45, 'D', fontsize='x-large')\n", "ax.text(675, 40, 'E', fontsize='x-large')\n", "ax.text(750, 30, 'F#', fontsize='x-large')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But you don't have anymore information on the temporal evolution of the score. By including higher frequencies in the plot: " ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-60.0, 60.0)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# expand frequencies\n", "fig, ax = plt.subplots(figsize=(12,4))\n", "ax.plot(freqs, 10*np.log10(spectrum**2))\n", "ax.set_xlabel('frequency (Hz)')\n", "ax.set_ylabel('variance (dB)')\n", "ax.set_title('Twinkle power spectrum')\n", "ax.set_xlim(left=800, right=1600)\n", "ax.set_ylim(bottom=-60, top=60)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see all the harmonics that make the tone of the violin, again with no information on the temporal evolution of the score. \n", "\n", "Such spectrum techniques are extremely useful for analyzing natural sounds in the ocean, and especially to track marine mammals. An excellent collections of examples including time series and spectrograms is given here.\n", "\n", "SOEST has their own observatory 100 km north of Oahu, called ACO, with hydrophones (underwater microphones) connected in real-time to the shore station by fiber optics cable.\n", "\n", "Finally, I should mention that over the past few years, smart-phone apps that do all the spectral analysis have become widely available, some for free.\n", "\n", "I recommend \"Spectroid\" and \"Spectral view\" under Android. You should install them, or equivalent ones, on your device, and analyze sounds of every day's life: cars, birds, water dropping from a faucet, anything. " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }