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@krischer
Created November 10, 2015 17:37
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Higher order detrending methods
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Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Xr1746KOPwMwoLCxETk4OmjVr5iQsatasCQ8PDzRp0gRHjhwxXJfz589jxIgR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\nFoIgCIIguI3/Dx1YV+4F9aOSAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10952beb8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"\n",
"import obspy\n",
"import matplotlib.pylab as plt\n",
"import numpy as np\n",
"\n",
"tr = obspy.read()[0].filter(\"highpass\", freq=2)\n",
"tr.plot()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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NaGkTP5XXJFpUVOSZbEMFiSsgbr31Vk455RQvjxseSUDs27eP1NTUiAIiMzMT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\nwboAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109562588>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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9toGrz2q1YrFY2LdvH7m5uV7PAe8Cp7CwkA4dOvDuu+/SqVMnV6CtQX5+Puee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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b19eef0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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NixYtcPLkSRljIQiCUI0gIstNyK7bYkFEQUS0k4iyiait4hZNRFuJaDMRRSluAUT0jeI2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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1023b54a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tr2 = tr.copy()\n",
"tr2.data += 6000 + 4 * tr.times() ** 2 - 0.1 * tr.times() ** 3 - 0.00001 * tr.times() ** 5\n",
"tr2.plot()\n",
"\n",
"tr2.detrend(\"polynomial\", order=3, plot=True)\n",
"tr2.plot()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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NaGkTP5XXJFpUVOSZbEMFiSsgbr31Vk455RQvjxseSUDs27eP1NTUiAIiMzMT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\nwboAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b6565c0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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quPqsVisWi4XMzEyys7M9XgOeBU5ubi7Nmzdn/vz5tGzZ0hloa3DkyBGuuuoq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\nJUuWALAEnLCwMLRo0UIXUnJyctQA1bx5c5tupsuXL2PcuHHo1q0b7r7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PFxUV8bRp0/jl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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b656d68>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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z0tx33304ffq0xFgIgiCUIYjIchGyQnssiCiIiHYT0Q0iekixtSaibUS0hYgaKLYAIlqq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\n4DFEWAiCIAiC4DH+HzK+VUsu/6t1AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b533b00>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tr3 = tr.copy()\n",
"tr3.data += 6000 + 4 * tr.times() ** 2 - 0.1 * tr.times() ** 3 - 0.00001 * tr.times() ** 5\n",
"tr3.plot()\n",
"\n",
"tr3.detrend(\"spline\", order=3, dspline=500, plot=True)\n",
"tr3.plot()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"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": "3.4.3"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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