initial import of PPSD exercise from seismo live web site
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04-PPSD/1-probabilistic_power_spectral_densities.ipynb
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223
04-PPSD/1-probabilistic_power_spectral_densities.ipynb
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{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<div style='background-image: url(\"../images/header.svg\") ; padding: 0px ; background-size: cover ; border-radius: 5px ; height: 250px'>\n",
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" <div style=\"float: right ; margin: 50px ; padding: 20px ; background: rgba(255 , 255 , 255 , 0.7) ; width: 50% ; height: 150px\">\n",
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" <div style=\"position: relative ; top: 50% ; transform: translatey(-50%)\">\n",
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" <div style=\"font-size: xx-large ; font-weight: 900 ; color: rgba(0 , 0 , 0 , 0.8) ; line-height: 100%\">Noise</div>\n",
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" <div style=\"font-size: large ; padding-top: 20px ; color: rgba(0 , 0 , 0 , 0.5)\">Lab: Probabilistic Power Spectral Densities</div>\n",
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" </div>\n",
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" </div>\n",
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"</div>\n",
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"\n",
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"\n",
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"Seismo-Live: http://seismo-live.org\n",
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"\n",
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"##### Authors:\n",
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"* Tobias Megies ([@megies](https://github.com/megies))\n",
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"\n",
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"---"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"%matplotlib inline\n",
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"import matplotlib.pyplot as plt\n",
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"plt.style.use(\"bmh\")\n",
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"plt.rcParams['figure.figsize'] = 10, 6"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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" * read waveform data from file `data/GR.FUR..BHN.D.2015.361` (station `FUR`, [LMU geophysical observatory in Fürstenfeldbruck](https://www.geophysik.uni-muenchen.de/observatory/seismology))\n",
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" * read corresponding station metadata from file `data/station_FUR.stationxml`\n",
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" * print info on both waveforms and station metadata"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"from obspy import read, read_inventory\n",
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"\n",
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"st = read(\"data/GR.FUR..BHN.D.2015.361\")\n",
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"inv = read_inventory(\"data/station_FUR.stationxml\")\n",
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"\n",
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"print(st)\n",
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"print(inv)\n",
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"inv.plot(projection=\"ortho\");"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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" * compute probabilistic power spectral densities using `PPSD` class from obspy.signal, see http://docs.obspy.org/tutorial/code_snippets/probabilistic_power_spectral_density.html (but use the inventory you read from StationXML as metadata)\n",
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" * plot the processed `PPSD` (`plot()` method attached to `PPSD` object)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"from obspy.signal import PPSD\n",
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"\n",
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"tr = st[0]\n",
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"ppsd = PPSD(stats=tr.stats, metadata=inv)\n",
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"\n",
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"ppsd.add(tr)\n",
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"ppsd.plot()"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Since longer term stacks would need too much waveform data and take way too long to compute, we prepared one year continuous data preprocessed for a single channel of station `FUR` to play with..\n",
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"\n",
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" * load long term pre-computed PPSD from file `PPSD_FUR_HHN.npz` using `PPSD`'s `load_npz()` staticmethod (i.e. it is called directly from the class, not an instance object of the class)\n",
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" * plot the PPSD (default is full time-range, depending on how much data and spread is in the data, adjust `max_percentage` option of `plot()` option) (might take a couple of minutes..!)\n",
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" * do a cumulative plot (which is good to judge non-exceedance percentage dB thresholds)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"from obspy.signal import PPSD\n",
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"\n",
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"ppsd = PPSD.load_npz(\"data/PPSD_FUR_HHN.npz\", allow_pickle=True)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"ppsd.plot(max_percentage=10)\n",
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"ppsd.plot(cumulative=True)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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" * do different stacks of the data using the [`calculate_histogram()` (see docs!)](http://docs.obspy.org/packages/autogen/obspy.signal.spectral_estimation.PPSD.calculate_histogram.html) method of `PPSD` and visualize them\n",
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" * compare differences in different frequency bands qualitatively (anthropogenic vs. \"natural\" noise)..\n",
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" * nighttime stack, daytime stack\n",
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" * advanced exercise: Use the `callback` option and use some crazy custom callback function in `calculate_histogram()`, e.g. stack together all data from birthdays in your family.. or all German holidays + Sundays in the time span.. or from dates of some bands' concerts on a tour.. etc."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"ppsd.calculate_histogram(time_of_weekday=[(-1, 0, 2), (-1, 22, 24)])\n",
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"ppsd.plot(max_percentage=10)\n",
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"ppsd.calculate_histogram(time_of_weekday=[(-1, 8, 16)])\n",
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"ppsd.plot(max_percentage=10)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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" * do different stacks of the data using the [`calculate_histogram()` (see docs!)](http://docs.obspy.org/packages/autogen/obspy.signal.spectral_estimation.PPSD.calculate_histogram.html) method of `PPSD` and visualize them\n",
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" * compare differences in different frequency bands qualitatively (anthropogenic vs. \"natural\" noise)..\n",
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" * weekdays stack, weekend stack"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"ppsd.calculate_histogram(time_of_weekday=[(1, 0, 24), (2, 0, 24), (3, 0, 24), (4, 0, 24), (5, 0, 24)])\n",
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"ppsd.plot(max_percentage=10)\n",
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"ppsd.calculate_histogram(time_of_weekday=[(6, 0, 24), (7, 0, 24)])\n",
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"ppsd.plot(max_percentage=10)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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" * do different stacks of the data using the [`calculate_histogram()` (see docs!)](http://docs.obspy.org/packages/autogen/obspy.signal.spectral_estimation.PPSD.calculate_histogram.html) method of `PPSD` and visualize them\n",
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" * compare differences in different frequency bands qualitatively (anthropogenic vs. \"natural\" noise)..\n",
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" * seasonal stacks (e.g. northern hemisphere autumn vs. spring/summer, ...)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"ppsd.calculate_histogram(month=[10, 11, 12, 1])\n",
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"ppsd.plot(max_percentage=10)\n",
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"ppsd.calculate_histogram(month=[4, 5, 6, 7])\n",
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"ppsd.plot(max_percentage=10)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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" * do different stacks of the data using the [`calculate_histogram()` (see docs!)](http://docs.obspy.org/packages/autogen/obspy.signal.spectral_estimation.PPSD.calculate_histogram.html) method of `PPSD` and visualize them\n",
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" * compare differences in different frequency bands qualitatively (anthropogenic vs. \"natural\" noise)..\n",
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" * stacks by specific month\n",
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" * maybe even combine several of above restrictions.. (e.g. only nighttime on weekends)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": []
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}
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],
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"metadata": {
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"jupytext": {
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"encoding": "# -*- coding: utf-8 -*-"
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},
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.12.3"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 2
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}
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BIN
04-PPSD/data/GR.FUR..BHN.D.2015.361
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BIN
04-PPSD/data/GR.FUR..BHN.D.2015.361
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04-PPSD/data/PPSD_FUR_HHN.npz
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04-PPSD/data/PPSD_FUR_HHN.npz
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04-PPSD/data/station_FUR.stationxml
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04-PPSD/data/station_FUR.stationxml
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<?xml version='1.0' encoding='UTF-8'?>
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<FDSNStationXML xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.fdsn.org/xml/station/1" schemaVersion="1.0" xsi:schemaLocation="http://www.fdsn.org/xml/station/1 http://www.fdsn.org/xml/station/fdsn-station-1.0.xsd">
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<Source>Jane</Source>
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<Sender>Jane</Sender>
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<Module>JANE WEB SERVICE: fdsnws-station | Jane version: 0.0.0-gd6e1</Module>
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<ModuleURI>http://jane/fdsnws/station/1/query?network=GR&station=FUR&starttime=2015-12-01&endtime=2016-02-01&level=response</ModuleURI>
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<Created>2016-05-03T10:14:19+00:00</Created>
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<Network startDate="2006-12-16T00:00:00.000000Z" code="GR">
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<Description>GRSN</Description>
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<SelectedNumberStations>1</SelectedNumberStations>
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<TotalNumberStations>4</TotalNumberStations>
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<Station startDate="2006-12-16T00:00:00.000000Z" code="FUR">
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<Latitude plusError="0.0" minusError="0.0">48.162899</Latitude>
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<Longitude plusError="0.0" minusError="0.0">11.2752</Longitude>
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<Elevation plusError="0.0" minusError="0.0">565.0</Elevation>
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<Site>
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<Name>Fuerstenfeldbruck, Bavaria, GR-Net</Name>
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</Site>
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<CreationDate>2006-12-16T00:00:00.000</CreationDate>
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<SelectedNumberChannels>12</SelectedNumberChannels>
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<TotalNumberChannels>12</TotalNumberChannels>
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<Channel locationCode="" code="HHN" startDate="2006-12-16T00:00:00.000">
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<Latitude plusError="0.0" minusError="0.0">48.162899</Latitude>
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<Longitude plusError="0.0" minusError="0.0">11.2752</Longitude>
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<Elevation plusError="0.0" minusError="0.0">565.0</Elevation>
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<Depth plusError="0.0" minusError="0.0">0.0</Depth>
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<Azimuth plusError="0.0" minusError="0.0">0.0</Azimuth>
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<Dip plusError="0.0" minusError="0.0">0.0</Dip>
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<Type>TRIGGERED</Type>
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<Type>GEOPHYSICAL</Type>
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<SampleRate plusError="0.0" minusError="0.0">100.0</SampleRate>
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<ClockDrift plusError="0.0" minusError="0.0">0.02</ClockDrift>
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<CalibrationUnits>
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<Name>A</Name>
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<Description>Amperes</Description>
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</CalibrationUnits>
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<Sensor>
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<Type>Streckeisen STS-2/N seismometer</Type>
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</Sensor>
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<Response>
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<InstrumentSensitivity>
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<Value>9.4368E8</Value>
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<Frequency>0.02</Frequency>
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<InputUnits>
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<Name>M/S</Name>
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<Description>Velocity in Meters per Second</Description>
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</InputUnits>
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<OutputUnits>
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<Name>COUNTS</Name>
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<Description>Digital Counts</Description>
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</OutputUnits>
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</InstrumentSensitivity>
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<Stage number="1">
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<PolesZeros>
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<InputUnits>
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<Name>M/S</Name>
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<Description>Velocity in Meters per Second</Description>
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</InputUnits>
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<OutputUnits>
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<Name>V</Name>
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<Description>Volts</Description>
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</OutputUnits>
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<PzTransferFunctionType>LAPLACE (RADIANS/SECOND)</PzTransferFunctionType>
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<NormalizationFactor>6.0077E7</NormalizationFactor>
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<NormalizationFrequency plusError="0.0" minusError="0.0">1.0</NormalizationFrequency>
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<Zero number="0">
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<Real plusError="0.0" minusError="0.0">0.0</Real>
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<Imaginary plusError="0.0" minusError="0.0">0.0</Imaginary>
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</Zero>
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<Zero number="1">
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<Real plusError="0.0" minusError="0.0">0.0</Real>
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<Imaginary plusError="0.0" minusError="0.0">0.0</Imaginary>
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</Zero>
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<Pole number="0">
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<Real plusError="0.0" minusError="0.0">-0.037004</Real>
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<Imaginary plusError="0.0" minusError="0.0">0.037016</Imaginary>
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</Pole>
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<Pole number="1">
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<Real plusError="0.0" minusError="0.0">-0.037004</Real>
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<Imaginary plusError="0.0" minusError="0.0">-0.037016</Imaginary>
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</Pole>
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<Pole number="2">
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<Real plusError="0.0" minusError="0.0">-251.33</Real>
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<Imaginary plusError="0.0" minusError="0.0">0.0</Imaginary>
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</Pole>
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<Pole number="3">
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<Real plusError="0.0" minusError="0.0">-131.04</Real>
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<Imaginary plusError="0.0" minusError="0.0">-467.29</Imaginary>
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</Pole>
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<Pole number="4">
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<Real plusError="0.0" minusError="0.0">-131.04</Real>
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<Imaginary plusError="0.0" minusError="0.0">467.29</Imaginary>
|
||||||
|
</Pole>
|
||||||
|
</PolesZeros>
|
||||||
|
<StageGain>
|
||||||
|
<Value>1500.0</Value>
|
||||||
|
<Frequency>0.02</Frequency>
|
||||||
|
</StageGain>
|
||||||
|
</Stage>
|
||||||
|
<Stage number="2">
|
||||||
|
<Coefficients>
|
||||||
|
<InputUnits>
|
||||||
|
<Name>V</Name>
|
||||||
|
<Description>Volts</Description>
|
||||||
|
</InputUnits>
|
||||||
|
<OutputUnits>
|
||||||
|
<Name>COUNTS</Name>
|
||||||
|
<Description>Digital Counts</Description>
|
||||||
|
</OutputUnits>
|
||||||
|
<CfTransferFunctionType>DIGITAL</CfTransferFunctionType>
|
||||||
|
</Coefficients>
|
||||||
|
<Decimation>
|
||||||
|
<InputSampleRate plusError="0.0" minusError="0.0">200.0</InputSampleRate>
|
||||||
|
<Factor>1</Factor>
|
||||||
|
<Offset>0</Offset>
|
||||||
|
<Delay plusError="0.0" minusError="0.0">0.0</Delay>
|
||||||
|
<Correction plusError="0.0" minusError="0.0">0.0</Correction>
|
||||||
|
</Decimation>
|
||||||
|
<StageGain>
|
||||||
|
<Value>629121.0</Value>
|
||||||
|
<Frequency>0.0</Frequency>
|
||||||
|
</StageGain>
|
||||||
|
</Stage>
|
||||||
|
</Response>
|
||||||
|
</Channel>
|
||||||
|
<Channel locationCode="" code="BHN" startDate="2006-12-16T00:00:00.000">
|
||||||
|
<Latitude plusError="0.0" minusError="0.0">48.162899</Latitude>
|
||||||
|
<Longitude plusError="0.0" minusError="0.0">11.2752</Longitude>
|
||||||
|
<Elevation plusError="0.0" minusError="0.0">565.0</Elevation>
|
||||||
|
<Depth plusError="0.0" minusError="0.0">0.0</Depth>
|
||||||
|
<Azimuth plusError="0.0" minusError="0.0">0.0</Azimuth>
|
||||||
|
<Dip plusError="0.0" minusError="0.0">0.0</Dip>
|
||||||
|
<Type>TRIGGERED</Type>
|
||||||
|
<Type>GEOPHYSICAL</Type>
|
||||||
|
<SampleRate plusError="0.0" minusError="0.0">20.0</SampleRate>
|
||||||
|
<ClockDrift plusError="0.0" minusError="0.0">0.02</ClockDrift>
|
||||||
|
<CalibrationUnits>
|
||||||
|
<Name>A</Name>
|
||||||
|
<Description>Amperes</Description>
|
||||||
|
</CalibrationUnits>
|
||||||
|
<Sensor>
|
||||||
|
<Type>Streckeisen STS-2/N seismometer</Type>
|
||||||
|
</Sensor>
|
||||||
|
<Response>
|
||||||
|
<InstrumentSensitivity>
|
||||||
|
<Value>9.4368E8</Value>
|
||||||
|
<Frequency>0.02</Frequency>
|
||||||
|
<InputUnits>
|
||||||
|
<Name>M/S</Name>
|
||||||
|
<Description>Velocity in Meters per Second</Description>
|
||||||
|
</InputUnits>
|
||||||
|
<OutputUnits>
|
||||||
|
<Name>COUNTS</Name>
|
||||||
|
<Description>Digital Counts</Description>
|
||||||
|
</OutputUnits>
|
||||||
|
</InstrumentSensitivity>
|
||||||
|
<Stage number="1">
|
||||||
|
<PolesZeros>
|
||||||
|
<InputUnits>
|
||||||
|
<Name>M/S</Name>
|
||||||
|
<Description>Velocity in Meters per Second</Description>
|
||||||
|
</InputUnits>
|
||||||
|
<OutputUnits>
|
||||||
|
<Name>V</Name>
|
||||||
|
<Description>Volts</Description>
|
||||||
|
</OutputUnits>
|
||||||
|
<PzTransferFunctionType>LAPLACE (RADIANS/SECOND)</PzTransferFunctionType>
|
||||||
|
<NormalizationFactor>6.0077E7</NormalizationFactor>
|
||||||
|
<NormalizationFrequency plusError="0.0" minusError="0.0">1.0</NormalizationFrequency>
|
||||||
|
<Zero number="0">
|
||||||
|
<Real plusError="0.0" minusError="0.0">0.0</Real>
|
||||||
|
<Imaginary plusError="0.0" minusError="0.0">0.0</Imaginary>
|
||||||
|
</Zero>
|
||||||
|
<Zero number="1">
|
||||||
|
<Real plusError="0.0" minusError="0.0">0.0</Real>
|
||||||
|
<Imaginary plusError="0.0" minusError="0.0">0.0</Imaginary>
|
||||||
|
</Zero>
|
||||||
|
<Pole number="0">
|
||||||
|
<Real plusError="0.0" minusError="0.0">-0.037004</Real>
|
||||||
|
<Imaginary plusError="0.0" minusError="0.0">0.037016</Imaginary>
|
||||||
|
</Pole>
|
||||||
|
<Pole number="1">
|
||||||
|
<Real plusError="0.0" minusError="0.0">-0.037004</Real>
|
||||||
|
<Imaginary plusError="0.0" minusError="0.0">-0.037016</Imaginary>
|
||||||
|
</Pole>
|
||||||
|
<Pole number="2">
|
||||||
|
<Real plusError="0.0" minusError="0.0">-251.33</Real>
|
||||||
|
<Imaginary plusError="0.0" minusError="0.0">0.0</Imaginary>
|
||||||
|
</Pole>
|
||||||
|
<Pole number="3">
|
||||||
|
<Real plusError="0.0" minusError="0.0">-131.04</Real>
|
||||||
|
<Imaginary plusError="0.0" minusError="0.0">-467.29</Imaginary>
|
||||||
|
</Pole>
|
||||||
|
<Pole number="4">
|
||||||
|
<Real plusError="0.0" minusError="0.0">-131.04</Real>
|
||||||
|
<Imaginary plusError="0.0" minusError="0.0">467.29</Imaginary>
|
||||||
|
</Pole>
|
||||||
|
</PolesZeros>
|
||||||
|
<StageGain>
|
||||||
|
<Value>1500.0</Value>
|
||||||
|
<Frequency>0.02</Frequency>
|
||||||
|
</StageGain>
|
||||||
|
</Stage>
|
||||||
|
<Stage number="2">
|
||||||
|
<Coefficients>
|
||||||
|
<InputUnits>
|
||||||
|
<Name>V</Name>
|
||||||
|
<Description>Volts</Description>
|
||||||
|
</InputUnits>
|
||||||
|
<OutputUnits>
|
||||||
|
<Name>COUNTS</Name>
|
||||||
|
<Description>Digital Counts</Description>
|
||||||
|
</OutputUnits>
|
||||||
|
<CfTransferFunctionType>DIGITAL</CfTransferFunctionType>
|
||||||
|
</Coefficients>
|
||||||
|
<Decimation>
|
||||||
|
<InputSampleRate plusError="0.0" minusError="0.0">200.0</InputSampleRate>
|
||||||
|
<Factor>1</Factor>
|
||||||
|
<Offset>0</Offset>
|
||||||
|
<Delay plusError="0.0" minusError="0.0">0.0</Delay>
|
||||||
|
<Correction plusError="0.0" minusError="0.0">0.0</Correction>
|
||||||
|
</Decimation>
|
||||||
|
<StageGain>
|
||||||
|
<Value>629121.0</Value>
|
||||||
|
<Frequency>0.0</Frequency>
|
||||||
|
</StageGain>
|
||||||
|
</Stage>
|
||||||
|
</Response>
|
||||||
|
</Channel>
|
||||||
|
</Station>
|
||||||
|
</Network>
|
||||||
|
</FDSNStationXML>
|
||||||
Loading…
Reference in New Issue
Block a user