test-stl/psd.ipynb
2023-08-23 17:37:40 +03:00

287 lines
187 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 36,
"id": "69c36f23-9417-461a-b1b4-cbe82e32d352",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"fs = 1000 # 1 kHz sampling frequency\n",
"F1 = 10 # First signal component at 10 Hz\n",
"F2 = 60 # Second signal component at 60 Hz\n",
"T = 10 # 10s signal length\n",
"N0 = -10 # Noise level (dB)\n",
"\n",
"N1 = -20 # First Peak level (dB)\n",
"\n",
"t = np.r_[0:T:(1/fs)] # Sample times\n",
"\n",
"# Two Sine signal components at frequencies F1 and F2.\n",
"signal = np.sin(2 * F1 * np.pi * t)* 10**(N1/20.0) + np.sin(2 * F2 * np.pi * t) \n",
"\n",
"# White noise with power N0\n",
"signal += np.random.randn(len(signal)) * 10**(N0/20.0) "
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "597a924d-ed00-4b2f-816c-fe7c411aeac9",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"psd_values, frequencies = plt.psd(signal, NFFT=1024, Fs=fs)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "5f8c8ec6-cad6-4e82-8808-7b540e4f2fcf",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import scipy.signal\n",
"\n",
"# f contains the frequency components\n",
"# S is the PSD\n",
"(f, S) = scipy.signal.periodogram(signal, fs, scaling='density')"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "b2be5aba-430d-4edb-be33-8329535f111a",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import math\n",
"\n",
"plt.semilogy(f, S)\n",
"plt.ylim([1e-7, 1e2])\n",
"plt.xlim([0,100])\n",
"plt.xlabel('frequency [Hz]')\n",
"plt.ylabel('PSD [V**2/Hz]')\n",
"\n",
"tr = 0.01\n",
"\n",
"peaks, properties = scipy.signal.find_peaks(S, threshold=tr)\n",
"plt.plot([p//10 for p in peaks], S[peaks], \"o\")\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "b15c8032-549d-49d4-abd5-594f42f8fda5",
"metadata": {},
"source": [
"## Welch's method PSD estimation (get peaks only for 0-20)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "ce233ae5-1ab4-47fd-97c7-288d4de314cc",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[61]\n"
]
}
],
"source": [
"(f1, S1)= scipy.signal.welch(signal, fs, nperseg=1024)\n",
"\n",
"plt.semilogy(f1, S1)\n",
"plt.xlim([0, 100])\n",
"plt.xlabel('frequency [Hz]')\n",
"plt.ylabel('PSD [V**2/Hz]')\n",
"\n",
"peaks1, properties1 = scipy.signal.find_peaks(S1, threshold=tr)\n",
"plt.plot(peaks1, S1[peaks1], \"o\")\n",
"\n",
"plt.show()\n",
"\n",
"\n",
"print(peaks1)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "616744d1-2882-440c-88cf-170f54f7401f",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-10dB в попугай: 0.0031622776601683794\n",
"попгуай в dB -20.0\n"
]
}
],
"source": [
"tr = 0.01 # Попугай\n",
"\n",
"trdb = 10*math.log10(tr)\n",
"\n",
"\n",
"DB = -25\n",
"\n",
"tr = 10**(DB/10)\n",
"\n",
"print(\"-10dB в попугай: \", tr)\n",
"print(\"попгуай в dB\", trdb)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "591c1b9b-a99d-4167-aef8-caf1fb624204",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[10, 60] [-13.144250848181834, 6.998171028855628]\n"
]
}
],
"source": [
"(f, S) = scipy.signal.periodogram(signal, fs, scaling='density')\n",
"\n",
"plt.semilogy(f, S)\n",
"plt.ylim([1e-7, 1e2])\n",
"plt.xlim([0,100])\n",
"plt.xlabel('frequency [Hz]')\n",
"plt.ylabel('PSD [V**2/Hz]')\n",
"\n",
"peakFreq = [p//10 for p in peaks]\n",
"freqPow = [10*math.log10(z) for z in S[peaks]]\n",
"\n",
"# tr = 0.00316 == -10dB\n",
"peaks, properties = scipy.signal.find_peaks(S, threshold=tr)\n",
"plt.plot(peakFreq, S[peaks], \"o\")\n",
"\n",
"plt.show()\n",
"\n",
"print(peakFreq, freqPow)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "a03ad31a-4bdc-4c3f-a44f-734a84fd4b39",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"815 MHz is active! 6.998171028855628 dB\n"
]
}
],
"source": [
"if 60 in peakFreq:\n",
" pw = freqPow[peakFreq.index(60)]\n",
" print('815 MHz is active! ', pw, 'dB')\n",
" \n",
" \n",
" \n",
" "
]
}
],
"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": 5
}