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Created June 11, 2025 07:05
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different_periodograms.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyOWL2QDrJ2AuTke+947caNx",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/avivajpeyi/5eab3ec1e60d0e976884c4dddff8b39c/different_periodograms.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 607
},
"id": "KJJOUqqrxDGI",
"outputId": "e68ff09c-5b88-4e28-f590-f279dd0380cb"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.signal import csd, get_window\n",
"\n",
"def raw_fft_psd(x, fs=1.0):\n",
" N = len(x)\n",
" Xf = np.fft.fft(x)\n",
" Pxx = (1 / (fs * N)) * np.abs(Xf[:N//2 + 1])**2\n",
" Pxx[1:-1] *= 2 # Double to account for energy from negative freqs\n",
" freqs = np.fft.rfftfreq(N, 1/fs)\n",
" return freqs, Pxx\n",
"\n",
"def welch_psd(x, fs=1.0, nperseg=256, window='hann'):\n",
" N = len(x)\n",
" step = nperseg // 2 # 50% overlap\n",
" window_vals = get_window(window, nperseg)\n",
" scale = np.sum(window_vals**2)\n",
" norm = 1 / (fs * scale)\n",
"\n",
" segments = []\n",
" for start in range(0, N - nperseg + 1, step):\n",
" segment = x[start:start + nperseg]\n",
" segment_windowed = segment * window_vals\n",
" Xf = np.fft.fft(segment_windowed, n=nperseg)\n",
" Sxx_seg = np.abs(Xf[:nperseg//2 + 1])**2\n",
" segments.append(Sxx_seg)\n",
"\n",
" Sxx_avg = np.mean(segments, axis=0)\n",
" f = np.fft.rfftfreq(nperseg, 1/fs)\n",
" return f, norm * Sxx_avg\n",
"\n",
"# === Simulated Signal ===\n",
"fs = 1000 # Sampling frequency\n",
"duration = 2.0\n",
"t = np.arange(0, duration, 1/fs)\n",
"f_signal = 50\n",
"x = np.sin(2*np.pi*f_signal*t) + 0.5*np.random.randn(len(t)) # Sine + noise\n",
"\n",
"# === PSD Estimates ===\n",
"f_csd, Pxx_csd = csd(x, x, fs=fs)\n",
"f_fft, Pxx_fft = raw_fft_psd(x, fs=fs)\n",
"f_welch, Pxx_welch = welch_psd(x, fs=fs, nperseg=256, window='hann')\n",
"\n",
"# === Plotting ===\n",
"plt.figure(figsize=(10, 6))\n",
"plt.semilogy(f_csd, Pxx_csd, label='scipy.signal.csd')\n",
"plt.semilogy(f_fft, Pxx_fft, label='Raw FFT PSD', color='gray', alpha=0.5)\n",
"plt.semilogy(f_welch, Pxx_welch, '--', label='Manual Welch PSD')\n",
"plt.xlabel(\"Frequency [Hz]\")\n",
"plt.ylabel(\"Power Spectral Density [units²/Hz]\")\n",
"plt.title(\"Comparison of PSD Estimates\")\n",
"plt.legend()\n",
"plt.grid(False)\n",
"plt.tight_layout()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "IXKAkvbGxFrP"
},
"execution_count": null,
"outputs": []
}
]
}
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