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Created January 2, 2025 19:10
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Demonstration of differences between filtering using MATLAB and Scipy (Python)
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{
"cells": [
{
"cell_type": "markdown",
"id": "0b3b7cd2-393b-4329-a4f4-753023ebb60f",
"metadata": {},
"source": [
"# Demonstration of differences between filtering using MATLAB and Scipy (Python)\n",
"\n",
"When porting signal processing code from MATLAB to Scipy (Python), we noticed some small differences in the output of MATLAB's `filter` function and Scipy's `lfilter` function. This notebook demonstrates those differences and briefly describes their properties.\n",
"\n",
"Experiment: We filtered a 1-D array of uniformly distributed random integers (range -10000 to 10000, N=1e7) with a 5th-order Butterworth digital filter with a high-pass cutoff critical frequency of 15.92 Hz (for Wn=15.92/(Fs/2) and Fs=10000, then Wn=0.003183 half-cycles/sample) in both MATLAB (using `filter`) and Python (using `scipy.signal.lfilter` and `scipy.signal.sosfilt` separately).\n",
"\n",
"Other filters and filter parameters were not tested in this limited-purpose experiment. One random seed was used.\n",
"\n",
"This demonstration was done with MATLAB R2023b and scipy 1.14.1, Python 3.12 on Mac OS with an arm64 processor. \n",
"\n",
"Results: The numerator coefficients (`b`) and denominator coefficients (`a`) of the Butterworth filter transfer function are not exactly the same between MATLAB and Python, but very similar. The differences are less than 1e-14.\n",
"\n",
"The absolute difference between the filtering result of MATLAB's `filter` and `scipy.signal.lfilter` can be as large as 0.022 (median = 0.0031). The difference fluctuates smoothly but seemingly randomly. `scipy.signal.sosfilt` matches MATLAB's `filter` output a little better.\n",
"\n",
"Most likely, MATLAB and Scipy's algorithms for filtering differ slightly or they use the same algorithm, but differ in implementation and how numerical precision is lost. \n",
"\n",
"To run this notebook, create a clean Python environment and run:\n",
"```\n",
"pip install scipy matplotlib\n",
"```"
]
},
{
"cell_type": "markdown",
"id": "d6199f6d-74e4-4cdd-ae23-efaf87ad49b2",
"metadata": {},
"source": [
"# Run `filter` on random data in MATLAB\n",
"\n",
"This will open MATLAB on your computer. You will probably need to change the path to your MATLAB executable. You may also need to log in to Mathworks."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "93833fcf-f92d-44c2-9dfd-0b1e4ac8fd4e",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[?1h\u001b=\n",
" < M A T L A B (R) >\n",
" Copyright 1984-2023 The MathWorks, Inc.\n",
" R2023b Update 4 (23.2.0.2428915) 64-bit (maca64)\n",
" October 23, 2023\n",
"\n",
" \n",
"For online documentation, see https://www.mathworks.com/support\n",
"For product information, visit www.mathworks.com.\n",
" \n",
"saved to filter_out.mat\n",
"\u001b[?1l\u001b>"
]
}
],
"source": [
"!/Applications/MATLAB_R2023b.app/bin/matlab -nojvm -nosplash -nodesktop -r \"rng('default'); [b,a] = butter(5, 1/(2*pi*10/1000)/(10000/2), 'high'); data = randi(20000, [1 1e7]) - 10000; filtered = filter(b, a, data); save('filter_out.mat', 'b', 'a', 'data', 'filtered'); disp('saved to filter_out.mat'); exit\""
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "8641b4a2-741d-4e6c-81a7-a3728070ebfc",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"'1.14.1'"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import scipy\n",
"scipy.__version__"
]
},
{
"cell_type": "markdown",
"id": "e8e88d45-a3ea-47ba-934a-e9d3ca510bc3",
"metadata": {},
"source": [
"# Read the input data and filtering results from MATLAB into Python Numpy arrays"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "1c484ee6-4314-4277-883c-ddcee7319250",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"b float64 (6,) [ 0.98394978 -4.91974888 9.83949777 -9.83949777 4.91974888 -0.98394978]\n",
"a float64 (6,) [ 1. -4.96763936 9.87108043 -9.8073999 4.872116 -0.96815716]\n",
"data int16 (10000000,) [ 6295 8116 -7460 ... 3005 -7143 5910]\n",
"filtered float64 (10000000,) [ 6193.96384402 7785.2957505 -7795.88249272 ... 2080.12309247\n",
" -7998.01089374 5077.22535971]\n"
]
}
],
"source": [
"import scipy.io as sio\n",
"import numpy as np\n",
"\n",
"matlab_output = sio.loadmat(\"filter_out.mat\")\n",
"matlab_b = matlab_output[\"b\"][0]\n",
"matlab_a = matlab_output[\"a\"][0]\n",
"matlab_data = matlab_output[\"data\"][0]\n",
"matlab_filtered = matlab_output[\"filtered\"][0]\n",
"print(\"b\", matlab_b.dtype, matlab_b.shape, matlab_b)\n",
"print(\"a\", matlab_a.dtype, matlab_a.shape, matlab_a)\n",
"print(\"data\", matlab_data.dtype, matlab_data.shape, matlab_data)\n",
"print(\"filtered\", matlab_filtered.dtype, matlab_filtered.shape, matlab_filtered)"
]
},
{
"cell_type": "markdown",
"id": "b96473b2-fa7b-47cc-9df6-8e5af6fc3139",
"metadata": {
"tags": []
},
"source": [
"# Compare the `(b, a)` produced by MATLAB's `butter` and `scipy.signal.butter`"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "40b8e8dc-ea57-4b74-abc0-8bd9cc1fba86",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import scipy.signal as sps"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "de9bcfd3-90bb-4299-b20b-bbabf124e73d",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"b [ 0.98394978 -4.91974888 9.83949777 -9.83949777 4.91974888 -0.98394978]\n",
"a [ 1. -4.96763936 9.87108043 -9.8073999 4.872116 -0.96815716]\n"
]
}
],
"source": [
"b, a = sps.butter(5, 1/(2*np.pi*10/1000)/(10000/2), \"high\")\n",
"print(\"b\", b)\n",
"print(\"a\", a)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "f73a2dfb-ab20-4374-9d88-13d443fdde0f",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"differences in b [ 1.110223024625157e-16 0.000000000000000e+00 0.000000000000000e+00\n",
" 0.000000000000000e+00 0.000000000000000e+00 -1.110223024625157e-16]\n",
"differences in a [ 0.000000000000000e+00 -8.881784197001252e-16 3.552713678800501e-15\n",
" -1.776356839400250e-15 8.881784197001252e-16 -2.220446049250313e-16]\n",
"max abs difference in b 1.1102230246251565e-16\n",
"max abs difference in a 3.552713678800501e-15\n"
]
}
],
"source": [
"np.set_printoptions(precision=15)\n",
"print(\"differences in b\", b - matlab_b)\n",
"print(\"differences in a\", a - matlab_a)\n",
"print(\"max abs difference in b\", max(np.abs(b - matlab_b)))\n",
"print(\"max abs difference in a\", max(np.abs(a - matlab_a)))\n",
"\n",
"np.testing.assert_allclose(b, matlab_b, rtol=0, atol=1e-14)\n",
"np.testing.assert_allclose(a, matlab_a, rtol=0, atol=1e-14)"
]
},
{
"cell_type": "markdown",
"id": "38d23a4e-e468-4de3-9f86-1954aae3c697",
"metadata": {},
"source": [
"## Absolute differences in `(b, a)` are limited to less than 1e-14. `b` and `a` are basically the same.\n",
"\n",
"# Filter using `scipy.signal.lfilter` and the same input data matrix used by MATLAB"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "63f3c0be-2acd-4ff6-94ea-d6f320fce899",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 6193.963844016628 , 7785.295750495413 , -7795.8824927188325, ...,\n",
" 2080.118180229775 , -7998.015838353153 , 5077.220382697456 ],\n",
" shape=(10000000,))"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"filtered = sps.lfilter(b, a, matlab_data)\n",
"filtered"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "95c920fb-cbad-485e-8656-bb280bb78853",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"differences in filtered [ 0.000000000000000e+00 7.275957614183426e-12 2.273736754432321e-11 ...\n",
" -4.912235728625092e-03 -4.944617972796550e-03 -4.977011710252555e-03]\n",
"max abs difference in filtered 0.02187595718078228\n",
"median abs difference in filtered 0.0030959649138821987\n"
]
}
],
"source": [
"print(\"differences in filtered\", filtered - matlab_filtered)\n",
"print(\"max abs difference in filtered\", max(np.abs(filtered - matlab_filtered)))\n",
"print(\"median abs difference in filtered\", np.median(np.abs(filtered - matlab_filtered)))"
]
},
{
"cell_type": "markdown",
"id": "70fe139f-9c1e-4d83-9b4f-57ddafa9974d",
"metadata": {},
"source": [
"## There are slight differences in the filter output."
]
},
{
"cell_type": "markdown",
"id": "3480891e-cb6d-4bc6-bc71-9ed4f6d296ee",
"metadata": {},
"source": [
"# Plot the filtered signals from MATLAB and Python"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "206f871a-f7fb-4c1d-b33d-68178bd00a13",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "b0a2a310-b5c7-4700-b29f-83a1d921984b",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = slice(0, 50)\n",
"plt.plot(filtered[x])\n",
"plt.plot(matlab_filtered[x]);"
]
},
{
"cell_type": "markdown",
"id": "edd83f4e-a186-4686-a47a-7b5b4a27437f",
"metadata": {},
"source": [
"## Plot the differences"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "deeb5e6b-deaf-4c74-9698-cde88791c5ca",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(filtered - matlab_filtered);"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "537ba6b3-7d99-48ce-9742-01dbb51d0416",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = slice(0, 10000)\n",
"plt.plot(filtered[x] - matlab_filtered[x]);"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "f393d0db-83a7-4c98-a923-243bad21dc7a",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = slice(9990000, 10000000)\n",
"plt.plot(filtered[x] - matlab_filtered[x]);"
]
},
{
"cell_type": "markdown",
"id": "44350552-6464-402c-86bb-911b9d7c2303",
"metadata": {},
"source": [
"# Further investigations\n",
"\n",
"## Filter using `scipy.signal.lfilter` and the same input data matrix, `b`, and `a` used by MATLAB (instead of the `b` and `a` from `scipy.signal.butter`)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "c1b9129d-39af-45fb-934f-b3dd6d7b1d77",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"differences in filtered using matlab b, a [ 0.000000000000000e+00 9.094947017729282e-13 7.275957614183426e-12 ...\n",
" -3.695769210935396e-03 -3.700980551002431e-03 -3.705927000737574e-03]\n",
"max abs difference in filtered using matlab b, a 0.020693835536803817\n",
"median abs difference in filtered using matlab b, a 0.002897462549071861\n"
]
}
],
"source": [
"filtered_with_matlab_b_a = sps.lfilter(matlab_b, matlab_a, matlab_data)\n",
"\n",
"print(\"differences in filtered using matlab b, a\", filtered_with_matlab_b_a - matlab_filtered)\n",
"print(\"max abs difference in filtered using matlab b, a\", max(np.abs(filtered_with_matlab_b_a - matlab_filtered)))\n",
"print(\"median abs difference in filtered using matlab b, a\", np.median(np.abs(filtered_with_matlab_b_a - matlab_filtered)))"
]
},
{
"cell_type": "markdown",
"id": "754b734d-0409-4a0e-a3d5-f7aa6add1d57",
"metadata": {},
"source": [
"## There are slight differences in the filter output, and these differences are slightly smaller than filtering using the `b` and `a` from Scipy."
]
},
{
"cell_type": "markdown",
"id": "f5221af5-4965-426f-a431-3d0a28af27dd",
"metadata": {},
"source": [
"## Use second-order sections in Scipy instead of numerator/denominator coefficients (`b, a`)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "3c35cbd3-372f-49a6-ba17-2129778dd771",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"differences in filtered using sos [ 0.000000000000000e+00 2.728484105318785e-12 9.094947017729282e-12 ...\n",
" -4.376502401555626e-03 -4.409879132253991e-03 -4.443176901077095e-03]\n",
"max abs difference in filtered using sos 0.017547176035293433\n",
"median abs difference in filtered using sos 0.002426079122642477\n"
]
}
],
"source": [
"sos = sps.butter(5, 1/(2*np.pi*10/1000)/(10000/2), \"high\", output=\"sos\")\n",
"sos_filtered = sps.sosfilt(sos, matlab_data)\n",
"\n",
"print(\"differences in filtered using sos\", sos_filtered - matlab_filtered)\n",
"print(\"max abs difference in filtered using sos\", max(np.abs(sos_filtered - matlab_filtered)))\n",
"print(\"median abs difference in filtered using sos\", np.median(np.abs(sos_filtered - matlab_filtered)))"
]
},
{
"cell_type": "markdown",
"id": "e92d1f38-fd93-456e-a50a-6e08a384d5b3",
"metadata": {
"tags": []
},
"source": [
"## The output of filtering using scipy's `sosfilt` is *slightly* closer to the MATLAB output."
]
},
{
"cell_type": "markdown",
"id": "d8bbbe85-4546-499c-bfd5-45ac23645d78",
"metadata": {},
"source": [
"## Passing `zi` to `lfilter` does not make a difference. The default `zi` value appears to be an array of zeros, just like in MATLAB."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "86302db1-99cc-4672-82f3-4e9d699b0eb6",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"np.float64(0.0)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"filtered_zero_zi, _ = sps.lfilter(b, a, matlab_data, zi=np.zeros((max(len(b), len(a))-1), ))\n",
"max(np.abs(filtered - filtered_zero_zi))"
]
},
{
"cell_type": "markdown",
"id": "fc83210f-f7f4-4171-a680-8841dc01ae62",
"metadata": {},
"source": [
"## Subsequent signal processing can amplify the absolute differences, but the relative difference appears to remain small.\n",
"\n",
"Some of these differences may be due to different implementations for subsequent processing steps and/or differences in how numerical precision is lost.\n",
"\n",
"Note: In the MATLAB command, we use the `times` function instead of `.*` to prevent the shell from interpreting `.*`."
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "41abfd8f-5d33-42cd-9d88-8a9b2306a105",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[?1h\u001b=\n",
" < M A T L A B (R) >\n",
" Copyright 1984-2023 The MathWorks, Inc.\n",
" R2023b Update 4 (23.2.0.2428915) 64-bit (maca64)\n",
" October 23, 2023\n",
"\n",
" \n",
"For online documentation, see https://www.mathworks.com/support\n",
"For product information, visit www.mathworks.com.\n",
" \n",
"saved to filter_more_out.mat\n",
"\u001b[?1l\u001b>"
]
}
],
"source": [
"!/Applications/MATLAB_R2023b.app/bin/matlab -nojvm -nosplash -nodesktop -r \"rng('default'); [b_highpass,a_highpass] = butter(5, 1/(2*pi*10/1000)/(10000/2), 'high'); data1 = randi(20000, [1 1e7]) - 10000; data2 = randi(2e6, [1 1e7]) - 1e6; data1_filtered = filter(b_highpass, a_highpass, data1); data2_demod = times(data1_filtered, data2); [b_bandpass,a_bandpass] = butter(5, 1/(2*pi*10/1000)/(10000/2)); data2_demod_filtered = filter(b_bandpass, a_bandpass, data2_demod); data2_phase_shifted = imag(hilbert(data2)); data2_phase_shifted_demod = times(data1_filtered, data2_phase_shifted); data2_phase_shifted_demod_filtered = filter(b_bandpass, a_bandpass, data2_phase_shifted_demod); signal = (data2_demod_filtered.^2 + data2_phase_shifted_demod_filtered.^2).^.5; save('filter_more_out.mat', 'data1', 'data2', 'signal'); disp('saved to filter_more_out.mat'); exit\""
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "b24cbccc-8c43-4f59-a8b5-3a50a8720fd2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"data1 int16 (10000000,) [ 6295 8116 -7460 ... 3005 -7143 5910]\n",
"data2 int32 (10000000,) [ 155319 -239470 -447549 ... -397198 -755502 684529]\n",
"signal float64 (10000000,) [1.387804409140110e-02 1.426202249057337e-01 7.279160229825190e-01 ...\n",
" 9.932955080402172e+07 9.842839682579777e+07 9.754600962787609e+07]\n"
]
}
],
"source": [
"matlab_output = sio.loadmat(\"filter_more_out.mat\")\n",
"matlab_data1 = matlab_output[\"data1\"][0]\n",
"matlab_data2 = matlab_output[\"data2\"][0]\n",
"matlab_signal = matlab_output[\"signal\"][0]\n",
"print(\"data1\", matlab_data1.dtype, matlab_data1.shape, matlab_data1)\n",
"print(\"data2\", matlab_data2.dtype, matlab_data2.shape, matlab_data2)\n",
"print(\"signal\", matlab_signal.dtype, matlab_signal.shape, matlab_signal)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "86b2f3e5-e3f9-452a-ab0f-c433fd219590",
"metadata": {},
"outputs": [],
"source": [
"b_highpass, a_highpass = sps.butter(5, 1/(2*np.pi*10/1000)/(10000/2), \"high\")\n",
"data1_filtered = sps.lfilter(b_highpass, a_highpass, matlab_data1)\n",
"data2_demod = data1_filtered * matlab_data2\n",
"b_bandpass, a_bandpass = sps.butter(5, 1/(2*np.pi*10/1000)/(10000/2))\n",
"data2_demod_filtered = sps.lfilter(b_bandpass, a_bandpass, data2_demod)\n",
"data2_phase_shifted = np.imag(sps.hilbert(matlab_data2))\n",
"data2_phase_shifted_demod = data1_filtered * data2_phase_shifted\n",
"data2_phase_shifted_demod_filtered = sps.lfilter(b_bandpass, a_bandpass, data2_phase_shifted_demod)\n",
"signal = np.sqrt(data2_demod_filtered**2 + data2_phase_shifted_demod_filtered**2)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "204b1d8d-3bff-4f2f-b810-2400c7764cbb",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"range of signal 0.0138780440914011 984812596.8151215\n",
"differences in signal [5.898059818321144e-17 6.383782391594650e-16 3.330669073875470e-15 ...\n",
" 9.762041181474924e+02 9.572454408258200e+02 9.377051677703857e+02]\n",
"max abs difference in signal 7187.120243996382\n",
"median abs difference in signal 965.8881646804512\n",
"max relative abs difference in signal 0.010106381469212685\n",
"median relative abs difference in signal 4.358961661301072e-06\n"
]
}
],
"source": [
"print(\"range of signal\", min(matlab_signal), max(matlab_signal))\n",
"print(\"differences in signal\", signal - matlab_signal)\n",
"print(\"max abs difference in signal\", max(np.abs(signal - matlab_signal)))\n",
"print(\"median abs difference in signal\", np.median(np.abs(signal - matlab_signal)))\n",
"print(\"max relative abs difference in signal\", max(np.abs(signal - matlab_signal) / matlab_signal))\n",
"print(\"median relative abs difference in signal\", np.median(np.abs(signal - matlab_signal) / matlab_signal))"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "9b74a177-e59f-4c15-9e60-a540798a549d",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = slice(5500, 5505)\n",
"plt.plot(signal[x])\n",
"plt.plot(matlab_signal[x]);"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "c680cf66-b093-4d30-b25d-c9fd575658d6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = slice(0, 10000)\n",
"plt.plot(signal[x] - matlab_signal[x]);"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "65cc51b8-0687-4db9-879d-538e636ff613",
"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",
"version": "3.12.8"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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