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2025-10-21 11:20:44 +08:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n# Detrending a signal\n\n:func:`scipy.signal.detrend` removes a linear trend.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generate a random signal with a trend\n\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n\nt = np.linspace(0, 5, 100)\nrng = np.random.default_rng()\nx = t + rng.normal(size=100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Detrend\n\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import scipy as sp\n\nx_detrended = sp.signal.detrend(x)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot\n\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n\nplt.figure(figsize=(5, 4))\nplt.plot(t, x, label=\"x\")\nplt.plot(t, x_detrended, label=\"x_detrended\")\nplt.legend(loc=\"best\")\nplt.show()"
]
}
],
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"kernelspec": {
"display_name": "Python 3",
"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": "3.12.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}