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open-questions/electrical-network-frequency-analysis/notebooks/enf_correlation_example.ipynb
2021-08-14 21:08:44 +02:00

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{
"cells": [
{
"cell_type": "raw",
"id": "original-socket",
"metadata": {},
"source": [
"Requirement: run notebook enf_extraction_example.ipynb before this\n",
"Notebook compares original and reference ENF signal by cross correlation"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "logical-columbus",
"metadata": {},
"outputs": [],
"source": [
"! pip install scipy==1.7.1\n",
"! pip install matplotlib==3.3.2\n",
"! pip install numpy==1.20.2\n",
"# different from enf_extraction_example.ipynb notebook because we need correlation_lags function"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "native-control",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy import signal"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "organizational-section",
"metadata": {},
"outputs": [],
"source": [
"# pyenf script produces zeros at the end because of window function\n",
"audio = np.load('audio.npy')[:-3]\n",
"audio_reference = np.load('audio_reference.npy')[:-3]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "serious-seller",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x504 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"audio_values = [x[0] for x in audio]\n",
"audio_reference_values = [x[0] for x in audio_reference]\n",
"\n",
"# added noise to prove working\n",
"noise = np.random.normal(0, 0.01, len(audio_reference_values))\n",
"audio_reference_values_with_noise = np.concatenate([audio_reference_values, audio_reference_values + noise])\n",
"\n",
"# cross correlation\n",
"correlation = signal.correlate(audio_reference_values_with_noise, audio_values, \"full\")\n",
"lags = signal.correlation_lags(len(audio_reference_values_with_noise), len(audio_values), \"full\")\n",
"# normalization\n",
"correlation /= np.max(correlation)\n",
"\n",
"fig, (ax_orig, ax_noise, ax_corr) = plt.subplots(3, 1, figsize=(7, 7))\n",
"ax_orig.plot(audio_values)\n",
"ax_orig.set_title('Extracted')\n",
"ax_orig.set_xlabel('Sample Number')\n",
"ax_noise.plot(audio_reference_values_with_noise)\n",
"ax_noise.set_title('Grid frequency')\n",
"ax_noise.set_xlabel('Sample Number')\n",
"ax_corr.plot(lags, correlation)\n",
"ax_corr.set_title('Cross-correlated signal')\n",
"ax_corr.set_xlabel('Lag')\n",
"ax_orig.margins(0, 0.1)\n",
"ax_noise.margins(0, 0.1)\n",
"ax_corr.margins(0, 0.1)\n",
"fig.tight_layout()\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Conda Python 3.7 (base)",
"language": "python",
"name": "python3.7"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}