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@krischer
Created November 20, 2015 12:21
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Numerical differentiation, integration, and resampling
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Consequences of the order of resampling and differentiation/integration\n",
"\n",
"The current version of the syngine service by default returns seismograms with the sampling rate of the database. That sampling rate is naturally as low as possible to save disc space. If people request velocity seismograms everything is good. When people request either displacement or acceleration we have to either numerically integrate or differentiate. These operations are not accurate and perform at their worst for frequencies close to Nyquist.\n",
"\n",
"Thus significant errors are introduced if people just requests seismograms (in displacement/acceleration) without manually specifying a smaller dt. For large dt values Instaseis internally will resample before it performs the differentiation/integration and all is good.\n",
"\n",
"Only very few people will be aware of that and to avoid people requesting bad seismograms I propose to set the default dt to a tenth of the database sampling interval. The data is then effectively oversampled by a factor of 10 which puts more load on IRIS's connection but the error is no longer an issue.\n",
"\n",
"In all the following examples the green line and the dashed black ones should be identical."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import obspy\n",
"import requests\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Displacement\n",
"\n",
"The error is fairly small as it only performs an integration."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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bAKZNm0aFChVo1KgRjo6OtGnThoCAgCzn7tevHy+88AK1atWifv36dOrUKcN8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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10974ebe0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"large_dt = obspy.read(\"http://service.iris.edu/irisws/syngine/1/query?\"\n",
" \"network=IU&station=ANMO&components=Z&eventid=GCMT:M110302J&format=miniseed&\"\n",
" \"units=displacement\")\n",
"small_dt = obspy.read(\"http://service.iris.edu/irisws/syngine/1/query?\"\n",
" \"network=IU&station=ANMO&components=Z&eventid=GCMT:M110302J&format=miniseed&\"\n",
" \"dt=0.01&kernelwidth=16&units=displacement\")\n",
"\n",
"large_dt_reconstructed = large_dt.copy().interpolate(100.0, method=\"lanczos\", window=\"blackman\", a=16)\n",
"\n",
"\n",
"plt.figure(figsize=(14, 4))\n",
"plt.plot(large_dt[0].times(), large_dt[0].data, color=\"red\", label=\"large dt\")\n",
"plt.plot(small_dt[0].times(), small_dt[0].data, color=\"green\", label=\"small dt\")\n",
"plt.plot(large_dt_reconstructed[0].times(), large_dt_reconstructed[0].data,\n",
" \"k--\", label=\"large dt reconstructed\", lw=2)\n",
"plt.legend()\n",
"plt.xlim(420, 450)\n",
"plt.ylim(-20000, 20000)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Velocity\n",
"\n",
"No error as database effectively stores velocity."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### No error for velocity as no differentiation/integration has to be performed"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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tnJRSSmXxyaxPuHThEo3LuHFPt252ybA7LJLwrRfx8/PTwkkpO7hTruGkVE7o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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10973bc88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"large_dt = obspy.read(\"http://service.iris.edu/irisws/syngine/1/query?\"\n",
" \"network=IU&station=ANMO&components=Z&eventid=GCMT:M110302J&format=miniseed&\"\n",
" \"units=velocity\")\n",
"small_dt = obspy.read(\"http://service.iris.edu/irisws/syngine/1/query?\"\n",
" \"network=IU&station=ANMO&components=Z&eventid=GCMT:M110302J&format=miniseed&\"\n",
" \"dt=0.01&kernelwidth=16&units=velocity\")\n",
"\n",
"large_dt_reconstructed = large_dt.copy().interpolate(100.0, method=\"lanczos\", window=\"blackman\", a=16)\n",
"\n",
"\n",
"plt.figure(figsize=(14, 4))\n",
"plt.plot(large_dt[0].times(), large_dt[0].data, color=\"red\", label=\"large dt\")\n",
"plt.plot(small_dt[0].times(), small_dt[0].data, color=\"green\", label=\"small dt\")\n",
"plt.plot(large_dt_reconstructed[0].times(), large_dt_reconstructed[0].data,\n",
" \"k--\", label=\"large dt reconstructed\", lw=2)\n",
"plt.legend()\n",
"plt.xlim(420, 450)\n",
"plt.ylim(-30000, 30000)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Acceleration\n",
"\n",
"Very large error. The used central difference operator acts as a very strong lowpass filter that filters frequency depending on the current sampling rate of the signal. See e.g. here: http://www.holoborodko.com/pavel/numerical-methods/numerical-derivative/central-differences/"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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x5NQSMnTPzjfqj+LedLn7H49S3xBMTExYuHAhUVFRHDt2jH379rFkyZIcdTZv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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10974e7f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"large_dt = obspy.read(\"http://service.iris.edu/irisws/syngine/1/query?\"\n",
" \"network=IU&station=ANMO&components=Z&eventid=GCMT:M110302J&format=miniseed&\"\n",
" \"units=acceleration\")\n",
"small_dt = obspy.read(\"http://service.iris.edu/irisws/syngine/1/query?\"\n",
" \"network=IU&station=ANMO&components=Z&eventid=GCMT:M110302J&format=miniseed&\"\n",
" \"dt=0.01&kernelwidth=16&units=acceleration\")\n",
"\n",
"large_dt_reconstructed = large_dt.copy().interpolate(100.0, method=\"lanczos\", window=\"blackman\", a=16)\n",
"\n",
"\n",
"plt.figure(figsize=(14, 4))\n",
"plt.plot(large_dt[0].times(), large_dt[0].data, color=\"red\", label=\"large dt\")\n",
"plt.plot(small_dt[0].times(), small_dt[0].data, color=\"green\", label=\"small dt\")\n",
"plt.plot(large_dt_reconstructed[0].times(), large_dt_reconstructed[0].data,\n",
" \"k--\", label=\"large dt reconstructed\", lw=2)\n",
"plt.legend()\n",
"plt.xlim(420, 450)\n",
"plt.ylim(-55000, 40000)\n",
"plt.show()"
]
}
],
"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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