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@jgibbard
Created November 27, 2019 16:23
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FM demod
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from scipy import signal\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from math import floor"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {},
"outputs": [],
"source": [
"# Output sample rate in samples per second\n",
"fs = 96000\n",
"\n",
"# Output symbol rate\n",
"fb = 2400\n",
"\n",
"fm_deviation = 4000\n",
"\n",
"# Set deviation for each symbol in Hz\n",
"f0 = 1000\n",
"f1 = 2000\n",
"\n",
"# Number of symbols to send in each message \n",
"symbols_per_msg = 80\n",
"\n",
"\n",
"# Use a fixed random seed for a repeatable output\n",
"np.random.seed(934839)\n",
"symbols = np.random.randint(2, size=symbols_per_msg)\n",
"#symbols = np.array([0] * symbols_per_msg)"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [],
"source": [
"# Make modulating signal\n",
"\n",
"phase_accum = 0.0\n",
"symbol_accum = 0.0\n",
"symbol = 0\n",
"\n",
"# Since the symbol rate might not be a integer multiple of the sample rate\n",
"# we use an accumulator to on average output symbols at the right rate\n",
"symbol_rate_step = (fb * 2**32) / fs\n",
"\n",
"# Replace symbols with their step deviation (step deviation = (f * 2**32)/fs)\n",
"deviation = symbols.copy()\n",
"np.place(deviation, symbols == 0, int((f0 * 2**32) / fs))\n",
"np.place(deviation, symbols == 1, int((f1 * 2**32) / fs))\n",
"\n",
"mod_wave = []\n",
"\n",
"while True:\n",
" \n",
" # First inc the sample rate accumulator\n",
" symbol_accum = symbol_accum + symbol_rate_step\n",
" \n",
" # If accumulator overflows we are ready for the next symbol\n",
" if (symbol_accum >= 2.0**32):\n",
" symbol_accum = symbol_accum - 2.0**32\n",
" symbol += 1\n",
" # Check if we have reached the end of the message\n",
" if symbol == symbols_per_msg:\n",
" break\n",
" \n",
" # Output the sample\n",
" mod_wave.append(np.sin(2.0 * np.pi * phase_accum/float(2**32)))\n",
" \n",
" # Increament the phase accumulator based on the current symbol\n",
" phase_accum = phase_accum + deviation[symbol]\n",
"\n",
" if (phase_accum >= 2.0**32):\n",
" phase_accum = phase_accum - 2.0**32\n",
" elif (phase_accum < 0.0):\n",
" phase_accum = 2.0**32 + phase_accum"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(mod_wave[0:1000])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [],
"source": [
"phase_accum = 0.0\n",
"fm_dev_step = (fm_deviation * 2**32) / fs\n",
"\n",
"fm_wave = []\n",
"\n",
"for sample in mod_wave: \n",
"\n",
" phase_accum = phase_accum + sample*fm_dev_step\n",
"\n",
" if (phase_accum >= 2.0**32):\n",
" phase_accum = phase_accum - 2.0**32\n",
" elif (phase_accum < 0.0):\n",
" phase_accum = 2.0**32 + phase_accum\n",
"\n",
" # Output the sample\n",
" fm_wave.append(np.exp(2.0j * np.pi * phase_accum/float(2**32)))\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(16,4))\n",
"plt.plot(np.real(fm_wave)[0:1000])\n",
"plt.plot(np.imag(fm_wave)[0:1000])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fm_wave_short = fm_wave[0:1000]\n",
"freqs = np.linspace(-fs/2,+fs/2, len(fm_wave_short))\n",
"plt.plot(freqs,20*np.log10(np.fft.fftshift(np.abs(np.fft.fft(fm_wave_short)))))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [],
"source": [
"phase_dev = fm_wave[1:] * np.conjugate(fm_wave[0:-1])\n",
"freq_dev = np.arctan2(np.imag(phase_dev), np.real(phase_dev))"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(16,8))\n",
"plt.plot(freq_dev[0:800]*(fs/(2*np.pi)))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(16,8))\n",
"freq_dev_short = freq_dev[0:800]\n",
"freqs = np.linspace(-fs/2,+fs/2, len(freq_dev))\n",
"plt.plot(freqs,20*np.log10(np.fft.fftshift(np.abs(np.fft.fft(freq_dev)))))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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