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{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"id": "9a7be656-6e81-40f9-b31e-8c8b17cec18a",
"metadata": {},
"outputs": [],
"source": [
"import sys\n",
"\n",
"import numpy as np\n",
"import matplotlib\n",
"import matplotlib.pylab as pylab\n",
"import matplotlib.pyplot as plot\n",
"import scipy.fftpack\n",
"from scipy.signal import butter,filtfilt"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "2f6a8075-3ae9-43b4-bfa4-f950a271c01a",
"metadata": {},
"outputs": [],
"source": [
"#some util for fft\n",
"def draw_fft(signal,title=\"just FFT\"):\n",
" len_signal = len(signal)\n",
" yfft = scipy.fftpack.fft(signal)\n",
" xf = np.linspace(0.0, 1.0/(2.0*(1.0/len_signal)), len_signal//2)\n",
" #plot.plot(xf,2.0/len(signal) * np.abs(yfft[:len(signal)//2]))\n",
" plot.plot(xf,2.0/len_signal * np.abs(yfft[:len_signal//2]))\n",
" plot.title(title)\n",
" plot.show()\n",
"\n",
"def plot_signal(signal,title=\"signal SIMPLE\"):\n",
" xf = np.linspace(0.0,1.0,len(signal))\n",
" plot.plot(xf,signal)\n",
" plot.title(title)\n",
" plot.show()"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "6a7663d1-d9f5-4998-ad76-468831690b3f",
"metadata": {},
"outputs": [
{
"ename": "NameError",
"evalue": "name 'np' is not defined",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m/tmp/ipykernel_6634/1112438593.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mFILE_SIZE\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m14000\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mWIDTH\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m4800\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0msample_s8\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfromfile\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mFILE_IN\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mint8\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcount\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mFILE_SIZE\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mastype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfloat32\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mview\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcomplex64\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0msample_s8\u001b[0m \u001b[0;34m/=\u001b[0m \u001b[0;36m128\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0msample_s0\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfromfile\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"../out/cw_modulate_s0.iq\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mint8\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcount\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mWIDTH\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mastype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfloat32\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mview\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcomplex64\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mNameError\u001b[0m: name 'np' is not defined"
]
}
],
"source": [
"FILE_IN=\"../out/cw_00110011001100.s8\"\n",
"FILE_SIZE=14000\n",
"WIDTH=4800\n",
"sample_s8 = np.fromfile(FILE_IN, np.int8, count=FILE_SIZE).astype(np.float32).view(np.complex64)\n",
"sample_s8 /= 128\n",
"sample_s0 = np.fromfile(\"../out/cw_modulate_s0.iq\", np.int8, count=WIDTH).astype(np.float32).view(np.complex64)\n",
"sample_s0 /= 128\n",
"sample_s1 = np.fromfile(\"../out/cw_modulate_s1.iq\", np.int8, count=WIDTH).astype(np.float32).view(np.complex64)\n",
"sample_s1 /= 128\n",
"sample_base = np.fromfile(\"../out/cw_modulate_base.iq\", np.int8, count=FILE_SIZE).astype(np.float32).view(np.complex64)\n",
"sample_base /= 128\n",
"print(\"Loaded %d samples\"%(len(sample_s8)))\n"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "09c1919f-0c01-49fb-93cc-102ddeffbb73",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/fam/downloads/ML/install/anaconda3/lib/python3.9/site-packages/numpy/core/_asarray.py:102: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"xf = np.linspace(0.0,1.0,len(sample_s8))\n",
"plot.plot(xf,sample_s8)\n",
"plot.title(\"CW u8\")\n",
"plot.show()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "fe230b19-8849-47f3-b3b5-982f79fea510",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/fam/downloads/ML/install/anaconda3/lib/python3.9/site-packages/numpy/core/_asarray.py:102: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
]
},
{
"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": [
"xf = np.linspace(0.0,1.0,len(sample_s0))\n",
"plot.plot(xf,sample_s0)\n",
"plot.title(\"CW s0\")\n",
"plot.show()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "9e8eab5c-00b2-4d9e-8a67-de3750b549b4",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/fam/downloads/ML/install/anaconda3/lib/python3.9/site-packages/numpy/core/_asarray.py:102: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
]
},
{
"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": [
"xf = np.linspace(0.0,1.0,len(sample_s1))\n",
"plot.plot(xf,sample_s1)\n",
"plot.title(\"CW s1\")\n",
"plot.show()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "b11b2a6b-28da-4a9b-bf74-4d8042b2e5e7",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/fam/downloads/ML/install/anaconda3/lib/python3.9/site-packages/numpy/core/_asarray.py:102: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
]
},
{
"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": [
"xf = np.linspace(0.0,1.0,len(sample_base))\n",
"plot.plot(xf,sample_base)\n",
"plot.title(\"CW base\")\n",
"plot.show()"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "8670bb72-02ef-47ce-8c98-829490df9152",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"7000\n",
"7000\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/fam/downloads/ML/install/anaconda3/lib/python3.9/site-packages/numpy/core/_asarray.py:102: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/fam/downloads/ML/install/anaconda3/lib/python3.9/site-packages/numpy/core/_asarray.py:102: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/fam/downloads/ML/install/anaconda3/lib/python3.9/site-packages/numpy/core/_asarray.py:102: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"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": [
"print(len(sample_s8))\n",
"print(len(sample_base))\n",
"#signal = sample_s8 * sample_base\n",
"SIGNAL_FC=20\n",
"signal_time = np.arange(0,1.0,1.0/(len(sample_s8)))\n",
"signal = np.cos(signal_time*2*3.14*SIGNAL_FC+0.01)\n",
"xf = np.linspace(0.0,1.0,len(signal))\n",
"plot.plot(xf,signal)\n",
"plot.title(\"CW modulated\")\n",
"plot.show()\n",
"\n",
"#modulate cw\n",
"cw_mod = signal*sample_s8\n",
"\n",
"#draw_fft(signal)\n",
"plot_signal(signal,\"signal\")\n",
"draw_fft(signal,\"FFT signal\")\n",
"\n",
"plot_signal(sample_s8,\"s8\")\n",
"draw_fft(sample_s8,\"FFT s8\")\n",
"\n",
"plot_signal(sample_base,\"base\")\n",
"draw_fft(sample_base,\"FFT base\")\n",
"\n",
"plot_signal(cw_mod,\"CW mod\")\n",
"draw_fft(cw_mod,\"FFT CW mod\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a7b53063-af0d-442b-81d4-a23f82f82efc",
"metadata": {},
"outputs": [],
"source": []
}
],
"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",
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