Remove Instrument Response
This is an example notebook for removing the instrument response to calibrate the data into physical units.
Note: The workflow in this notebook is all incorporated into a class mth5.timeseris.ts_filters.RemoveInstrumentResponse and has been incorporated into mth5.timeseries.ChannelTS as mth5.timeseries.ChannelTS.remove_instrument_response and mth5.timeseries.RunTS as mth5.timeseries.RunTS.calibrate. An example is shown at the bottom of the notebook.
All the filters are represented as mt_metadata.timeseries.filters objects. More information about these can be found in mt_metadata filters.
This example will read in an existing MTH5 that has one station CAS04, one run a, and 2 channels ex and hx.
[9]:
from mth5.mth5 import MTH5
%matplotlib widget
Open the MTH5 file
This has 2 stations in it CAS04 and NVR08 both MTArray/Earthscope stations. Each only has one run. You can make this MTH5 file using make_mth5_driver_v0.2.0.ipnb
[3]:
m = MTH5()
m.open_mth5(r"8P_CAS04_NVR08.h5")
Have a look at the channel summary. This is a table of all the channels available in the MTH5 file.
[4]:
m.channel_summary.summarize()
ch_df = m.channel_summary.to_dataframe()
ch_df
[4]:
| survey | station | run | latitude | longitude | elevation | component | start | end | n_samples | sample_rate | measurement_type | azimuth | tilt | units | hdf5_reference | run_hdf5_reference | station_hdf5_reference | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | CONUS South | CAS04 | CAS04a | 37.633351 | -121.468382 | 329.387 | ex | 1980-01-01 00:00:00+00:00 | 1980-01-01 00:00:00+00:00 | 1 | 0.0 | electric | 13.2 | 0.0 | none | <HDF5 object reference> | <HDF5 object reference> | <HDF5 object reference> |
| 1 | CONUS South | CAS04 | CAS04a | 37.633351 | -121.468382 | 329.387 | ey | 1980-01-01 00:00:00+00:00 | 1980-01-01 00:00:00+00:00 | 1 | 0.0 | electric | 103.2 | 0.0 | none | <HDF5 object reference> | <HDF5 object reference> | <HDF5 object reference> |
| 2 | CONUS South | CAS04 | CAS04a | 37.633351 | -121.468382 | 329.387 | hx | 1980-01-01 00:00:00+00:00 | 1980-01-01 00:00:00+00:00 | 1 | 0.0 | magnetic | 13.2 | 0.0 | none | <HDF5 object reference> | <HDF5 object reference> | <HDF5 object reference> |
| 3 | CONUS South | CAS04 | CAS04a | 37.633351 | -121.468382 | 329.387 | hy | 1980-01-01 00:00:00+00:00 | 1980-01-01 00:00:00+00:00 | 1 | 0.0 | magnetic | 103.2 | 0.0 | none | <HDF5 object reference> | <HDF5 object reference> | <HDF5 object reference> |
| 4 | CONUS South | CAS04 | CAS04a | 37.633351 | -121.468382 | 329.387 | hz | 1980-01-01 00:00:00+00:00 | 1980-01-01 00:00:00+00:00 | 1 | 0.0 | magnetic | 13.2 | 0.0 | none | <HDF5 object reference> | <HDF5 object reference> | <HDF5 object reference> |
| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |
| 65 | CONUS South | NVR08 | c | 38.326630 | -118.082382 | 1375.425 | ex | 2020-06-14 18:00:44+00:00 | 2020-06-24 15:55:47+00:00 | 856503 | 1.0 | electric | 12.6 | 0.0 | digital counts | <HDF5 object reference> | <HDF5 object reference> | <HDF5 object reference> |
| 66 | CONUS South | NVR08 | c | 38.326630 | -118.082382 | 1375.425 | ey | 2020-06-14 18:00:44+00:00 | 2020-06-24 15:55:47+00:00 | 856503 | 1.0 | electric | 102.6 | 0.0 | digital counts | <HDF5 object reference> | <HDF5 object reference> | <HDF5 object reference> |
| 67 | CONUS South | NVR08 | c | 38.326630 | -118.082382 | 1375.425 | hx | 2020-06-14 18:00:44+00:00 | 2020-06-24 15:55:47+00:00 | 856503 | 1.0 | magnetic | 12.6 | 0.0 | digital counts | <HDF5 object reference> | <HDF5 object reference> | <HDF5 object reference> |
| 68 | CONUS South | NVR08 | c | 38.326630 | -118.082382 | 1375.425 | hy | 2020-06-14 18:00:44+00:00 | 2020-06-24 15:55:47+00:00 | 856503 | 1.0 | magnetic | 102.6 | 0.0 | digital counts | <HDF5 object reference> | <HDF5 object reference> | <HDF5 object reference> |
| 69 | CONUS South | NVR08 | c | 38.326630 | -118.082382 | 1375.425 | hz | 2020-06-14 18:00:44+00:00 | 2020-06-24 15:55:47+00:00 | 856503 | 1.0 | magnetic | 0.0 | 90.0 | digital counts | <HDF5 object reference> | <HDF5 object reference> | <HDF5 object reference> |
70 rows × 18 columns
Get observatory data
[16]:
import json
frn_json = json.loads('{"type":"Timeseries","metadata":{"intermagnet":{"imo":{"iaga_code":"FRN","name":"Fresno","coordinates":[240.282,37.091,331.0]},"reported_orientation":"H","sensor_orientation":"HDZF","data_type":"adjusted","sampling_period":1,"digital_sampling_rate":0.01},"status":200,"generated":"2022-04-11T23:46:00Z","url":null},"times":["2020-06-02T19:00:00.000Z","2020-06-02T19:00:01.000Z","2020-06-02T19:00:02.000Z","2020-06-02T19:00:03.000Z","2020-06-02T19:00:04.000Z","2020-06-02T19:00:05.000Z","2020-06-02T19:00:06.000Z","2020-06-02T19:00:07.000Z","2020-06-02T19:00:08.000Z","2020-06-02T19:00:09.000Z","2020-06-02T19:00:10.000Z","2020-06-02T19:00:11.000Z","2020-06-02T19:00:12.000Z","2020-06-02T19:00:13.000Z","2020-06-02T19:00:14.000Z","2020-06-02T19:00:15.000Z","2020-06-02T19:00:16.000Z","2020-06-02T19:00:17.000Z","2020-06-02T19:00:18.000Z","2020-06-02T19:00:19.000Z","2020-06-02T19:00:20.000Z","2020-06-02T19:00:21.000Z","2020-06-02T19:00:22.000Z","2020-06-02T19:00:23.000Z","2020-06-02T19:00:24.000Z","2020-06-02T19:00:25.000Z","2020-06-02T19:00:26.000Z","2020-06-02T19:00:27.000Z","2020-06-02T19:00:28.000Z","2020-06-02T19:00:29.000Z","2020-06-02T19:00:30.000Z","2020-06-02T19:00:31.000Z","2020-06-02T19:00:32.000Z","2020-06-02T19:00:33.000Z","2020-06-02T19:00:34.000Z","2020-06-02T19:00:35.000Z","2020-06-02T19:00:36.000Z","2020-06-02T19:00:37.000Z","2020-06-02T19:00:38.000Z","2020-06-02T19:00:39.000Z","2020-06-02T19:00:40.000Z","2020-06-02T19:00:41.000Z","2020-06-02T19:00:42.000Z","2020-06-02T19:00:43.000Z","2020-06-02T19:00:44.000Z","2020-06-02T19:00:45.000Z","2020-06-02T19:00:46.000Z","2020-06-02T19:00:47.000Z","2020-06-02T19:00:48.000Z","2020-06-02T19:00:49.000Z","2020-06-02T19:00:50.000Z","2020-06-02T19:00:51.000Z","2020-06-02T19:00:52.000Z","2020-06-02T19:00:53.000Z","2020-06-02T19:00:54.000Z","2020-06-02T19:00:55.000Z","2020-06-02T19:00:56.000Z","2020-06-02T19:00:57.000Z","2020-06-02T19:00:58.000Z","2020-06-02T19:00:59.000Z","2020-06-02T19:01:00.000Z","2020-06-02T19:01:01.000Z","2020-06-02T19:01:02.000Z","2020-06-02T19:01:03.000Z","2020-06-02T19:01:04.000Z","2020-06-02T19:01:05.000Z","2020-06-02T19:01:06.000Z","2020-06-02T19:01:07.000Z","2020-06-02T19:01:08.000Z","2020-06-02T19:01:09.000Z","2020-06-02T19:01:10.000Z","2020-06-02T19:01:11.000Z","2020-06-02T19:01:12.000Z","2020-06-02T19:01:13.000Z","2020-06-02T19:01:14.000Z","2020-06-02T19:01:15.000Z","2020-06-02T19:01:16.000Z","2020-06-02T19:01:17.000Z","2020-06-02T19:01:18.000Z","2020-06-02T19:01:19.000Z","2020-06-02T19:01:20.000Z","2020-06-02T19:01:21.000Z","2020-06-02T19:01:22.000Z","2020-06-02T19:01:23.000Z","2020-06-02T19:01:24.000Z","2020-06-02T19:01:25.000Z","2020-06-02T19:01:26.000Z","2020-06-02T19:01:27.000Z","2020-06-02T19:01:28.000Z","2020-06-02T19:01:29.000Z","2020-06-02T19:01:30.000Z","2020-06-02T19:01:31.000Z","2020-06-02T19:01:32.000Z","2020-06-02T19:01:33.000Z","2020-06-02T19:01:34.000Z","2020-06-02T19:01:35.000Z","2020-06-02T19:01:36.000Z","2020-06-02T19:01:37.000Z","2020-06-02T19:01:38.000Z","2020-06-02T19:01:39.000Z","2020-06-02T19:01:40.000Z","2020-06-02T19:01:41.000Z","2020-06-02T19:01:42.000Z","2020-06-02T19:01:43.000Z","2020-06-02T19:01:44.000Z","2020-06-02T19:01:45.000Z","2020-06-02T19:01:46.000Z","2020-06-02T19:01:47.000Z","2020-06-02T19:01:48.000Z","2020-06-02T19:01:49.000Z","2020-06-02T19:01:50.000Z","2020-06-02T19:01:51.000Z","2020-06-02T19:01:52.000Z","2020-06-02T19:01:53.000Z","2020-06-02T19:01:54.000Z","2020-06-02T19:01:55.000Z","2020-06-02T19:01:56.000Z","2020-06-02T19:01:57.000Z","2020-06-02T19:01:58.000Z","2020-06-02T19:01:59.000Z","2020-06-02T19:02:00.000Z","2020-06-02T19:02:01.000Z","2020-06-02T19:02:02.000Z","2020-06-02T19:02:03.000Z","2020-06-02T19:02:04.000Z","2020-06-02T19:02:05.000Z","2020-06-02T19:02:06.000Z","2020-06-02T19:02:07.000Z","2020-06-02T19:02:08.000Z","2020-06-02T19:02:09.000Z","2020-06-02T19:02:10.000Z","2020-06-02T19:02:11.000Z","2020-06-02T19:02:12.000Z","2020-06-02T19:02:13.000Z","2020-06-02T19:02:14.000Z","2020-06-02T19:02:15.000Z","2020-06-02T19:02:16.000Z","2020-06-02T19:02:17.000Z","2020-06-02T19:02:18.000Z","2020-06-02T19:02:19.000Z","2020-06-02T19:02:20.000Z","2020-06-02T19:02:21.000Z","2020-06-02T19:02:22.000Z","2020-06-02T19:02:23.000Z","2020-06-02T19:02:24.000Z","2020-06-02T19:02:25.000Z","2020-06-02T19:02:26.000Z","2020-06-02T19:02:27.000Z","2020-06-02T19:02:28.000Z","2020-06-02T19:02:29.000Z","2020-06-02T19:02:30.000Z","2020-06-02T19:02:31.000Z","2020-06-02T19:02:32.000Z","2020-06-02T19:02:33.000Z","2020-06-02T19:02:34.000Z","2020-06-02T19:02:35.000Z","2020-06-02T19:02:36.000Z","2020-06-02T19:02:37.000Z","2020-06-02T19:02:38.000Z","2020-06-02T19:02:39.000Z","2020-06-02T19:02:40.000Z","2020-06-02T19:02:41.000Z","2020-06-02T19:02:42.000Z","2020-06-02T19:02:43.000Z","2020-06-02T19:02:44.000Z","2020-06-02T19:02:45.000Z","2020-06-02T19:02:46.000Z","2020-06-02T19:02:47.000Z","2020-06-02T19:02:48.000Z","2020-06-02T19:02:49.000Z","2020-06-02T19:02:50.000Z","2020-06-02T19:02:51.000Z","2020-06-02T19:02:52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Get EX channel
Here we will get an EX channel, it will return a channel_dataset object.
Change ex to hx to look at the magnetic channels
[5]:
ex = m.get_channel("CAS04", "a", "hx", survey="CONUS_South")
ChannelTS object
Convert the ex channel to a ChannelTS object which is based on an xarray.DataArray and has methods to working with the data. More information can be found Time Series Objects
[6]:
exts = ex.to_channel_ts()
exts = exts.get_slice(start=exts.start, n_samples=4096)
Channel Response Filter
With the ChannelTS object comes the ChannelResponseFilter object. This includes all the filters that need to be applied to convert to physical units. Here we print out what the channel_response_filter attribute includes.
[7]:
exts.channel_response_filter
[7]:
Filters Included:
=========================
pole_zero_filter:
calibration_date = 1980-01-01
comments = NIMS magnetic field 3 pole Butterworth 0.5 low pass (analog)
gain = 1.0
name = magnetic_butterworth_low_pass
normalization_factor = 2002.26936395594
poles = [ -6.283185+10.882477j -6.283185-10.882477j -12.566371 +0.j ]
type = zpk
units_in = nT
units_out = V
zeros = []
--------------------
coefficient_filter:
calibration_date = 1980-01-01
comments = analog to digital conversion (magnetic)
gain = 100.0
name = magnetic_analog_to_digital
type = coefficient
units_in = V
units_out = count
--------------------
time_delay_filter:
calibration_date = 1980-01-01
comments = time offset in seconds (digital)
delay = -0.192
gain = 1.0
name = hx_time_offset
type = time delay
units_in = count
units_out = count
--------------------
Plot the channel response
The gray areas are the pass band of the filters and the vertical black line is the normalization frequency. These are estimated values.
[8]:
exts.channel_response_filter.plot_response(x_units="frequency")
Remove Instrument Response
Here we will attempt to remove the instrument response to calibrate the data in physical units. Create a few helper functions
zero_padwill pad an input array to a power of 2.
[20]:
calibrated_ex = exts.remove_instrument_response(plot=True)
[18]:
from matplotlib import pyplot as plt
import numpy as np
from scipy import signal
[29]:
# plot normalized version of original and calibrated
fig = plt.figure(2, figsize=[5,4])
fig.clf()
ax_original = fig.add_subplot(2, 1, 1)
original_ts = exts.ts.copy()
original_ts = original_ts - original_ts.mean()
original_ts = original_ts / original_ts.max()
frn_ts = np.array(frn_json["values"][0]["values"], dtype=float)
frn_ts = signal.detrend(frn_ts, type="linear")
frn_ts = frn_ts - frn_ts.mean()
#frn_ts = frn_ts / frn_ts.max()
l1, = ax_original.twinx().plot(exts._ts.time, original_ts, color=(0, 0, 0))
l2, = ax_original.plot(exts._ts.time, calibrated_ex.ts, color=(.75, .1, .1))
l3, = ax_original.plot(np.array(frn_json["times"], dtype=np.datetime64), frn_ts, color=(.2, .1, .75))
ax_original.set_ylabel("nT")
ax_original.set_xlim((exts._ts.time[0], exts._ts.time[-1]))
ax_original_fft = fig.add_subplot(2, 1, 2)
f = np.fft.rfftfreq(original_ts.size, d=1)
original_fft = abs(np.fft.rfft(original_ts))
calibrated = abs(np.fft.rfft(calibrated_ex.ts))
response = abs(exts.channel_response_filter.complex_response(f))[::-1]
response[-1] = response[-2]
frn_spectra = abs(np.fft.rfft(frn_ts))
f_frn = np.fft.rfftfreq(frn_ts.size, d=1)
l1, = ax_original_fft.loglog(f, original_fft / original_fft.max(), color=(0, 0, 0))
l2, = ax_original_fft.loglog(f, calibrated / calibrated.max(), color=(.75, .1, .2))
l3, = ax_original_fft.loglog(f, response / response.max(), color=(.1, .75, .2))
l4, = ax_original_fft.loglog(f_frn, frn_spectra / frn_spectra.max(), color=(.2, .1, .75))
ax_original_fft.set_ylim((1E-6, 10))
fig.legend(
[l1, l2, l4, l3],
["Original", "Calibrated", "Observatory", "Response"],
ncol=4,
loc="upper center",
)
fig.canvas.toolbar_visible = True
fig.canvas.header_visible = True
fig.canvas.resizable = True
fig.tight_layout()
plt.show()
C:\Users\jpeacock\AppData\Local\Temp\11\ipykernel_9464\1879432517.py:14: DeprecationWarning: parsing timezone aware datetimes is deprecated; this will raise an error in the future
l3, = ax_original.plot(np.array(frn_json["times"], dtype=np.datetime64), frn_ts, color=(.2, .1, .75))
[ ]:
#m.close_mth5()
[ ]: