Skip to content

Instantly share code, notes, and snippets.

@Piezoid
Last active May 22, 2023 23:51
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save Piezoid/ac9dfdcba6c6dc5d0479a2dd4fc1c4cd to your computer and use it in GitHub Desktop.
Save Piezoid/ac9dfdcba6c6dc5d0479a2dd4fc1c4cd to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "ac496110-d854-42d1-8a69-b3cdfcdaa5e3",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from scipy import signal\n",
"from matplotlib import pyplot as plt\n",
"import pandas as pd\n",
"df = pd.read_csv('/tmp/raw_data_x_vibr_3k_no_is_ideal_upd.csv')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "47ce01c3-7ef4-450c-bd5d-0dea4acb0afd",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2048"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"time = df[\"#time\"]\n",
"WINDOW_T_SEC = 0.5\n",
"fs = len(df) / (time.iloc[-1] - time.iloc[0])\n",
"M = 1 << int(fs * WINDOW_T_SEC - 1).bit_length()\n",
"M"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "e73b0452-c4aa-4c69-ba02-334494cc49c5",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nfft = M\n",
"window = np.kaiser(nfft, 6.)\n",
"scale = 1.0 / (window**2).sum()\n",
"\n",
"start = len(df.accel_x)//2\n",
"x = df.accel_x[start: start+nfft]\n",
"x = window * (x - x.mean())\n",
"plt.plot(time[start: start+nfft], x)\n",
"\n",
"freqs = np.fft.rfftfreq(nfft, 1. / fs)\n",
"result = np.fft.rfft(x - x.mean(), n=nfft, axis=0)\n",
"result = np.conjugate(result) * result\n",
"result = result.real * scale / fs\n",
"result[1:-1] *= 2.\n",
"\n",
"# Smoothing\n",
"conv_win = np.ones(4) #np.kaiser(16, 6.)\n",
"conv_win /= conv_win.sum()\n",
"result = np.convolve(result.real, conv_win, mode='same')\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "b72ecd5b-39bf-48ee-8204-d6f37e10df29",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7efdab5d3ad0>]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.semilogy(result)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "e17a8fc3-be4a-4f27-92da-1c6eaa6af7a9",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1: freq=70 (expected: 70) PSD=3524153 PSD ratio: 1.0 (expected: 1)\n",
"3: freq=209 (expected: 211) PSD=394449 PSD ratio: 8.9 (expected: 9)\n",
"5: freq=348 (expected: 352) PSD=144056 PSD ratio: 24.5 (expected: 25)\n",
"7: freq=488 (expected: 492) PSD=75103 PSD ratio: 46.9 (expected: 49)\n",
"9: freq=627 (expected: 633) PSD=46767 PSD ratio: 75.4 (expected: 81)\n",
"11: freq=766 (expected: 773) PSD=32504 PSD ratio: 108.4 (expected: 121)\n",
"13: freq=905 (expected: 914) PSD=24416 PSD ratio: 144.3 (expected: 169)\n",
"15: freq=1044 (expected: 1055) PSD=19494 PSD ratio: 180.8 (expected: 225)\n",
"17: freq=1183 (expected: 1195) PSD=16404 PSD ratio: 214.8 (expected: 289)\n",
"19: freq=1322 (expected: 1336) PSD=14479 PSD ratio: 243.4 (expected: 361)\n",
"21: freq=1461 (expected: 1477) PSD=13382 PSD ratio: 263.4 (expected: 441)\n",
"23: freq=1598 (expected: 1617) PSD=7312 PSD ratio: 482.0 (expected: 529)\n"
]
}
],
"source": [
"peaks, infos = signal.find_peaks(result, distance=20, height=1e3, prominence=100)\n",
"\n",
"peak0 = peaks[0]\n",
"pfreq0 = freqs[peak0] \n",
"ppsd0 = result[peak0]\n",
"for i, pk in enumerate(peaks):\n",
" pfreq = freqs[pk]\n",
" harm_num = 2*i+1\n",
" expected_freq = pfreq0 * (2*i+1)\n",
" ppsd = result[pk]\n",
" ratio = ppsd0 / ppsd\n",
" expected_ratio = harm_num**2\n",
" print(f'{harm_num}: freq={pfreq:.0f} (expected: {expected_freq:.0f}) PSD={ppsd:.0f} PSD ratio: {ratio:.1f} (expected: {expected_ratio})')\n",
" prev_peak_psd = ppsd"
]
}
],
"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": "3.11.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment