Point and focus algorithms

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4/2/2016:

  • Adaptive matched filter pointing algorithms allow pointing on weak sources in a variety of total power noise without use of a chopper system
  • https://github.com/sao-eht/lmtscripts
  • Frequency-domain implementation (Python)
    • agave: /home/lmtmc/lindy/lmtscripts/loclib.py
    • stitch together, and time-align multiple scans
    • Welch estimate PSD from same data (or use external PSD estimate)
    • model source contribution along telescope track
    • matched filter model signal into colored total power data
    • take location at maximum SNR
    • Log[Probability] maps (SNR^2) for Apr 1, 2016 1.3mm scans
    • 1058+015 (3 Jy), 1246-257 (1.9 Jy)
    • mf_mars.pngmf_3c273.pngmf_1058+015.pngmf_1246-257.png
    • Confidence regions (1,2,3-sigma) after 4 and 11 scans
    • 4scans.png11scans.png
  • Time-domain implementation (Matlab - filterPointingMaps.m in https://github.com/sao-eht/lmtscripts)
    • Estimate covariance of the noise by computing the cross correlation of the time-series data
    • model source contribution along telescope track using a Gaussian blob of set standard devation and varying center position
    • construct matched filter in time-domain
      • filter_response = ( inverse(noise_covariance) * source_contribution ) / (source_contribution^T * inverse(noise_covariance) * source_contribution
    • stack SNR from multiple scans

Apr 1, 2016 1.3mm scans of 3C273

singleMap_3c273_r2.pngfinalResults_3c273_r2.png

Apr 1, 2016 1.3mm scans of 1058+015 (3 Jy Source)

singleMap_1058+015_r2.pngfinalResults_1058+015_r2.png

Apr 2, 2016 1.3mm scans of 1246-257 (1.8 Jy Source)

singleMap_1246-257.pngfinalResults_1246-257.png

Apr 2, 2016 1.3mm scans of SgrA*

singleMap_SgrA.pngfinalResult_SgrA.png

  • -- L. Blackburn and K. Bouman

3/25/2015:

  • total power recording for 1mm scans was increased to ~83 Hz (from 10 Hz subsampled) in order to measure and compensate for gain fluctuations (few % or less) in the receiver which were happening above nyquist (and aliasing in).
  • new total power data seems promising, although it is a bit of a challenge to process (short segments, time glitches, discontinuous, irregular sampling)
  • noise behavior of receiver/totalpower system varies
  • attempt to filter and detrend data to prepare for pointing tests, processed data is successfully gridded onto a sky map by Gopal's libraries so it can be used for current sky location fitting routines.
  • Before and after filtering:
    detrended_timeseries.png
  • All of our available scans from the new aquisition system are of Saturn,
    saturn_scans_mar24.png
  • algorithm in brief:
    • fix data artifacts (time errors, interpolate through gaps, resample onto regular time spacing)
    • remove mean
    • low pass 10 Hz and line filter (1.2 Hz, 1.5 Hz, 11.45 Hz and harmonics, mixed frequencies)
    • running minimum window to find points for detrending
    • low pass filter applied to minimum series to establish trend
    • trend subtracted
    • interpolate onto sky grid
  • on agave:
    • ~lmtmc/lindy/pyinit.process(iobs, showmap=True)

Low-pass filtering point scans from 3/21

total_power_psd.png

total_power_1hz_filtered.pngtotal_power_0.5hz_filtered.png

Measuring total power at VLBI backend

  • Measure total power using Mark6 recorded 2-bit data by checking 2-bit occupancy
  • There is a time offset (4.5s) between the scan time and that reported in the total power files (leap seconds?)
  • Assumed every packet was exactly 8 microseconds, and used 31250 = 0.25s per integration.
  • Same time offset in A and B channels (IF0 and IF1)
  • IF0 and APower are both noisy (Saturn scan)
    mark6_totalpower.png
  • Time aligned (added 4.5s to Mark6 time)
    mark6_totalpower_aligned.png
  • Measure total power using Mark6 eht3 and eth5 packets by checking 2-bit occupancy
  • Measure total power using R2DBE regular 8-bit snapshots as fast as possible
  • Measure total power using custom R2DBE bitcode

3/22/2015

  • Tried some simple detrending (splines) plus high-pass filtering
  • Made cleaner images, but not able to find any 3C279 in scans
  • I think the detrending is too aggressive, will work on some ad-hoc methods to make this more robust against DC level in the transit signal
  • Ideally the background estimation would be different for every hypthoetical signal position.

Forward model fitting into time domain

  • useful for dealing with regions of spectrum that have both signal and noise contributions
  • starting beam width of 10 (arcsec, FWHM?)
  • can characterize noise as stationary?
  • how to get good local estimate of power spectrum?

Averaging multiple scans

Detrending with splines or high-pass filter

Tags: (Edit tags)
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FileSizeDateAttached by 
 11scans.png
No description
14.1 kB07:59, 5 Apr 2016Lindy BlackburnActions
 4scans.png
No description
14.96 kB07:59, 5 Apr 2016Lindy BlackburnActions
 detrended_timeseries.png
No description
61.37 kB12:04, 25 Mar 2015Lindy BlackburnActions
 finalResult_SgrA.png
Time Domain Pointing - Final Result SgrA*
143.46 kB15:36, 3 Apr 2016Katie BoumanActions
 finalResults_1058+015.png
Time Domain Pointing - Final Result 1058+015
335.07 kB19:05, 2 Apr 2016Katie BoumanActions
 finalResults_1058+015_r2.png
Time Domain Pointing - Final Result 1058+015
349.11 kB21:36, 2 Apr 2016Katie BoumanActions
 finalResults_1246-257.png
Time Domain Pointing - Final Result 1 Jy Source
289.21 kB13:57, 3 Apr 2016Katie BoumanActions
 finalResults_3c273.png
Time Domain Pointing - Final Result 3c273
320.85 kB20:52, 2 Apr 2016Katie BoumanActions
 finalResults_3c273_r2.png
Time Domain Pointing - Final Results 3c273
327.26 kB21:35, 2 Apr 2016Katie BoumanActions
mark6_totalpower.png
No description
135.6 kB04:43, 23 Mar 2015Lindy BlackburnActions
 mark6_totalpower_aligned.png
No description
142.27 kB04:50, 23 Mar 2015Lindy BlackburnActions
 mf_1058+015.png
No description
22.18 kB19:55, 2 Apr 2016Lindy BlackburnActions
 mf_1246-257.png
No description
24.2 kB14:24, 3 Apr 2016Lindy BlackburnActions
 mf_3c273.png
No description
20.34 kB19:55, 2 Apr 2016Lindy BlackburnActions
 mf_mars.png
No description
16.64 kB19:55, 2 Apr 2016Lindy BlackburnActions
 saturn_scans_mar24.png
No description
368.06 kB12:12, 25 Mar 2015Lindy BlackburnActions
 singleMap_1058+015.png
Time Domain Pointing - Single Map Result 1058+015
162 kB19:05, 2 Apr 2016Katie BoumanActions
 singleMap_1058+015_r2.png
Time Domain Pointing - Single Map Result 1058+015
172.2 kB21:35, 2 Apr 2016Katie BoumanActions
 singleMap_1246-257.png
Time Domain Pointing - Single Map Result 1 Jy Source
152.2 kB13:57, 3 Apr 2016Katie BoumanActions
 singleMap_3c273.png
Time Domain Pointing - Single Map Result 3c273
169.55 kB20:52, 2 Apr 2016Katie BoumanActions
 singleMap_3c273_r2.png
Time Domain Pointing - Single Map Result 3c273
165.47 kB21:35, 2 Apr 2016Katie BoumanActions
 singleMap_SgrA.png
Time Domain Pointing - Single Map Result SgrA*
128.68 kB15:36, 3 Apr 2016Katie BoumanActions
 total_power_0.5hz_filtered.png
No description
83.68 kB00:55, 23 Mar 2015Lindy BlackburnActions
 total_power_1hz_filtered.png
No description
80.64 kB00:55, 23 Mar 2015Lindy BlackburnActions
 total_power_psd.png
No description
46.83 kB00:55, 23 Mar 2015Lindy BlackburnActions
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