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.

[1]:
%matplotlib widget
#%matplotlib inline
[2]:
from mth5.mth5 import MTH5
from mth5.helpers import close_open_files
[3]:
close_open_files()

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

[4]:
m = MTH5()
file_path = "8P_CAS04_NVR08.h5"
m.open_mth5(file_path)

Have a look at the channel summary. This is a table of all the channels available in the MTH5 file.

[5]:
m.channel_summary.summarize()
ch_df = m.channel_summary.to_dataframe()
ch_df
[5]:
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 a 37.633351 -121.468382 329.3875 ex 2020-06-02 19:00:00+00:00 2020-06-02 22:07:46+00:00 11267 1.0 electric 13.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
1 CONUS South CAS04 a 37.633351 -121.468382 329.3875 ey 2020-06-02 19:00:00+00:00 2020-06-02 22:07:46+00:00 11267 1.0 electric 103.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
2 CONUS South CAS04 a 37.633351 -121.468382 329.3875 hx 2020-06-02 19:00:00+00:00 2020-06-02 22:07:46+00:00 11267 1.0 magnetic 13.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
3 CONUS South CAS04 a 37.633351 -121.468382 329.3875 hy 2020-06-02 19:00:00+00:00 2020-06-02 22:07:46+00:00 11267 1.0 magnetic 103.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
4 CONUS South CAS04 a 37.633351 -121.468382 329.3875 hz 2020-06-02 19:00:00+00:00 2020-06-02 22:07:46+00:00 11267 1.0 magnetic 0.0 90.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
5 CONUS South CAS04 b 37.633351 -121.468382 329.3875 ex 2020-06-02 22:24:55+00:00 2020-06-12 17:52:23+00:00 847649 1.0 electric 13.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
6 CONUS South CAS04 b 37.633351 -121.468382 329.3875 ey 2020-06-02 22:24:55+00:00 2020-06-12 17:52:23+00:00 847649 1.0 electric 103.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
7 CONUS South CAS04 b 37.633351 -121.468382 329.3875 hx 2020-06-02 22:24:55+00:00 2020-06-12 17:52:23+00:00 847649 1.0 magnetic 13.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
8 CONUS South CAS04 b 37.633351 -121.468382 329.3875 hy 2020-06-02 22:24:55+00:00 2020-06-12 17:52:23+00:00 847649 1.0 magnetic 103.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
9 CONUS South CAS04 b 37.633351 -121.468382 329.3875 hz 2020-06-02 22:24:55+00:00 2020-06-12 17:52:23+00:00 847649 1.0 magnetic 0.0 90.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
10 CONUS South CAS04 c 37.633351 -121.468382 329.3875 ex 2020-06-12 18:32:17+00:00 2020-07-01 17:32:59+00:00 1638043 1.0 electric 13.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
11 CONUS South CAS04 c 37.633351 -121.468382 329.3875 ey 2020-06-12 18:32:17+00:00 2020-07-01 17:32:59+00:00 1638043 1.0 electric 103.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
12 CONUS South CAS04 c 37.633351 -121.468382 329.3875 hx 2020-06-12 18:32:17+00:00 2020-07-01 17:32:59+00:00 1638043 1.0 magnetic 13.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
13 CONUS South CAS04 c 37.633351 -121.468382 329.3875 hy 2020-06-12 18:32:17+00:00 2020-07-01 17:32:59+00:00 1638043 1.0 magnetic 103.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
14 CONUS South CAS04 c 37.633351 -121.468382 329.3875 hz 2020-06-12 18:32:17+00:00 2020-07-01 17:32:59+00:00 1638043 1.0 magnetic 0.0 90.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
15 CONUS South CAS04 d 37.633351 -121.468382 329.3875 ex 2020-07-01 19:36:55+00:00 2020-07-13 19:00:00+00:00 1034586 1.0 electric 13.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
16 CONUS South CAS04 d 37.633351 -121.468382 329.3875 ey 2020-07-01 19:36:55+00:00 2020-07-13 19:00:00+00:00 1034586 1.0 electric 103.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
17 CONUS South CAS04 d 37.633351 -121.468382 329.3875 hx 2020-07-01 19:36:55+00:00 2020-07-13 19:00:00+00:00 1034586 1.0 magnetic 13.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
18 CONUS South CAS04 d 37.633351 -121.468382 329.3875 hy 2020-07-01 19:36:55+00:00 2020-07-13 19:00:00+00:00 1034586 1.0 magnetic 103.2 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
19 CONUS South CAS04 d 37.633351 -121.468382 329.3875 hz 2020-07-01 19:36:55+00:00 2020-07-13 19:00:00+00:00 1034586 1.0 magnetic 0.0 90.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
20 CONUS South NVR08 a 38.326630 -118.082382 1375.4250 ex 2020-06-03 19:10:11+00:00 2020-06-03 19:57:51+00:00 2861 1.0 electric 12.6 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
21 CONUS South NVR08 a 38.326630 -118.082382 1375.4250 ey 2020-06-03 19:10:11+00:00 2020-06-03 19:57:51+00:00 2861 1.0 electric 102.6 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
22 CONUS South NVR08 a 38.326630 -118.082382 1375.4250 hx 2020-06-03 19:10:11+00:00 2020-06-03 19:57:51+00:00 2861 1.0 magnetic 12.6 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
23 CONUS South NVR08 a 38.326630 -118.082382 1375.4250 hy 2020-06-03 19:10:11+00:00 2020-06-03 19:57:51+00:00 2861 1.0 magnetic 102.6 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
24 CONUS South NVR08 a 38.326630 -118.082382 1375.4250 hz 2020-06-03 19:10:11+00:00 2020-06-03 19:57:51+00:00 2861 1.0 magnetic 0.0 90.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
25 CONUS South NVR08 b 38.326630 -118.082382 1375.4250 ex 2020-06-03 20:14:13+00:00 2020-06-14 16:56:02+00:00 938510 1.0 electric 12.6 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
26 CONUS South NVR08 b 38.326630 -118.082382 1375.4250 ey 2020-06-03 20:14:13+00:00 2020-06-14 16:56:02+00:00 938510 1.0 electric 102.6 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
27 CONUS South NVR08 b 38.326630 -118.082382 1375.4250 hx 2020-06-03 20:14:13+00:00 2020-06-14 16:56:02+00:00 938510 1.0 magnetic 12.6 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
28 CONUS South NVR08 b 38.326630 -118.082382 1375.4250 hy 2020-06-03 20:14:13+00:00 2020-06-14 16:56:02+00:00 938510 1.0 magnetic 102.6 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
29 CONUS South NVR08 b 38.326630 -118.082382 1375.4250 hz 2020-06-03 20:14:13+00:00 2020-06-14 16:56:02+00:00 938510 1.0 magnetic 0.0 90.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
30 CONUS South NVR08 c 38.326630 -118.082382 1375.4250 ex 2020-06-14 18:00:44+00:00 2020-06-24 15:55:46+00:00 856503 1.0 electric 12.6 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
31 CONUS South NVR08 c 38.326630 -118.082382 1375.4250 ey 2020-06-14 18:00:44+00:00 2020-06-24 15:55:46+00:00 856503 1.0 electric 102.6 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
32 CONUS South NVR08 c 38.326630 -118.082382 1375.4250 hx 2020-06-14 18:00:44+00:00 2020-06-24 15:55:46+00:00 856503 1.0 magnetic 12.6 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
33 CONUS South NVR08 c 38.326630 -118.082382 1375.4250 hy 2020-06-14 18:00:44+00:00 2020-06-24 15:55:46+00:00 856503 1.0 magnetic 102.6 0.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>
34 CONUS South NVR08 c 38.326630 -118.082382 1375.4250 hz 2020-06-14 18:00:44+00:00 2020-06-24 15:55:46+00:00 856503 1.0 magnetic 0.0 90.0 digital counts <HDF5 object reference> <HDF5 object reference> <HDF5 object reference>

Get observatory data

https://geomag.usgs.gov/ws/data/?id=FRN&type=adjusted&elements=H&sampling_period=1&format=json&starttime=2020-06-02T19:00:00Z&endtime=2020-06-02T22:07:46Z

[6]:
import json
frn_json = 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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

[7]:
station = "CAS04"
run = "a"
hx = m.get_channel(station, run, "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

[8]:
hxts = hx.to_channel_ts()
hxts = hxts.get_slice(start=hxts.start, n_samples=int(10*2048))

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.

[9]:
hxts.channel_response
[9]:
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.

[10]:
hxts.channel_response.plot_response(x_units="frequency")
2023-12-27T13:18:29.223373-0800 | WARNING | mt_metadata.timeseries.filters.channel_response | complex_response | Filters list not provided, building list assuming all are applied
[11]:
hxts
[11]:
Channel Summary:
        Survey:       CONUS South
        Station:      CAS04
        Run:          a
        Channel Type: Magnetic
        Component:    hx
        Sample Rate:  1.0
        Start:        2020-06-02T19:00:00+00:00
        End:          2020-06-02T22:07:46+00:00
        N Samples:    11267
[12]:
hxts.data_array
[12]:
<xarray.DataArray 'hx' (time: 11267)>
array([2513875, 2513882, 2513891, ..., 2515556, 2515565, 2515576],
      dtype=int32)
Coordinates:
  * time     (time) datetime64[ns] 2020-06-02T19:00:00 ... 2020-06-02T22:07:46
Attributes: (12/25)
    channel_number:             0
    comments:                   run_ids: [d,c,b,a]
    component:                  hx
    data_quality.rating.value:  0
    filter.applied:             [True, True, True]
    filter.name:                ['magnetic_butterworth_low_pass', 'magnetic_a...
    ...                         ...
    time_period.end:            2020-06-02T22:07:46+00:00
    time_period.start:          2020-06-02T19:00:00+00:00
    type:                       magnetic
    units:                      digital counts
    station.id:                 CAS04
    run.id:                     a

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_pad will pad an input array to a power of 2.

[ ]:
# calibrated_hx = hxts.remove_instrument_response(plot=True, bandpass={"low":0.01, "high":0.4999, "order":3})
calibrated_hx = hxts.remove_instrument_response(plot=True, bandpass={"low":None, "high":0.1, "order":3})
/home/kkappler/software/irismt/mt_metadata/mt_metadata/timeseries/filters/channel_response.py:184: RuntimeWarning: divide by zero encountered in log10
  return np.round(10 ** np.mean(np.log10(self.pass_band)), 3)
[14]:
from matplotlib import pyplot as plt
import numpy as np
from scipy import signal

[15]:
# plot normalized version of original and calibrated
fig = plt.figure(3, figsize=[8,5])
fig.clf()
ax_original = fig.add_subplot(2, 1, 1)
original_ts = hxts.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(hxts.data_array.time, original_ts, color=(0, 0, 0))
#l1, = ax_original.plot(hxts.data_array.time, original_ts*60, color=(0, 0, 0))
l2, = ax_original.plot(hxts.data_array.time, calibrated_hx.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((hxts.data_array.time[0], hxts.data_array.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_hx.ts))
response = abs(hxts.channel_response.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()
2023-12-27T13:21:09.148273-0800 | WARNING | mt_metadata.timeseries.filters.channel_response | complex_response | Filters list not provided, building list assuming all are applied
/tmp/ipykernel_152717/3742961996.py:15: 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))
[16]:
m.close_mth5()
2023-12-27T13:18:31.699220-0800 | INFO | mth5.mth5 | close_mth5 | Flushing and closing 8P_CAS04_NVR08.h5