LIG O HW S Update on Monitoring Bicoherence Steve Penn (HWS) LIGO-G040180-00-Z.

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Presentation transcript:

LIG O HW S Update on Monitoring Bicoherence Steve Penn (HWS) LIGO-G Z

LIG O HW S LSC Meeting March First Order Statistics 1D Statistics: »Correlation: »Power Spectral Density: »Coherence: –Tells us power and phase coherence at a given frequency

LIG O HW S LSC Meeting March Second Order Statistics 2D Statistics: »Bicumulant: »Bispectral Density: »Bicoherence: –Tells us power and phase coherence at a coupled frequency

LIG O HW S LSC Meeting March Why Higher Order Statistics? For a Gaussian process: For independent processes: Allows for isolation of nonGaussian processes »Visual check of frequency coupling and phase noise »Statistical test for the probability of gaussianity and linearity »Iterative process to reconstruct nongaussian signal from the higher order cumulants

LIG O HW S LSC Meeting March Monitor Versions: MatLab tools Vijay’s tool: Calculates auto-bicoherence Monitors integrated auto-bicoherence over specified frequency area Allows one to see evidence of bilinear couplings if noise low No background monitoring or multiple calculations per data block. Does not calculate cross-bicoherence (limits full diagnosis of noise problem) Vijay, the code author and primary user, has taken another job. MatLab HOSA toolbox Calculates auto- & cross-bicoherence Graphical smoothing All MatLab’s advantages No easy integration with DMT No easy integration with background monitoring Normalization was not equivalent to our tools

LIG O HW S LSC Meeting March Monitor Versions: BicoMon (Background Monitor) Current Version (Exists. Written since August Meeting) Monitor integrates bicoherence over specified frequency ROI Calculates bicoherence for multiple channel combinations Integrates bicoherence over multiple specified ROI Integrates bicoherence over entire unique area (Gaussianity) Trends Data and sends to DMTviewer.  Resolved the unique channel problem with DMT  Included proper decimation with filtering rather than rebinning  Tests for Operational State

LIG O HW S LSC Meeting March C 2 H1:LSC-AS_Q16384 H1:SUS-ITMX_OPLEV_PERROR M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_ALL M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_60_2_ M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_60_10_ M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_60_38_ M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_60_50_ M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_120_2_ M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_120_10_ M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_120_38_ M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_120_50_ M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_180_2_ M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_180_10_ M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_180_38_ M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_180_50_ C 2 H1:LSC-AS_Q16384 H1:SUS-ITMY_OPLEV_PERROR M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_ALL M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_60_2_ M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_60_10_ M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_60_38_ M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_60_50_ M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_120_2_ M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_120_10_ M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_120_38_ M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_120_50_ M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_180_2_ M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_180_10_ M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_180_38_ M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_180_50_ C 1 H1:LSC-AS_Q M Bico:H1:AS_Q_ALL M Bico:H1:AS_Q_120_2_ M Bico:H1:AS_Q_120_10_ M Bico:H1:AS_Q_120_38_ Configuration File Calculation Parameters Measurement Parameters

LIG O HW S LSC Meeting March Monitor Versions: BicoViewer (Foreground Monitor) Plots Bicoherence (auto- or cross-) & PSD’s of input channels Proper decimation & Optimized windowing User selects: »Channels »Frequency Range and Resolution »Data Span »Data Overlap Outputs GIF files of the plots Vectorized FFT routines for speed Heterodyning Strip Chart for Monitoring Bicoherence of certain ROI Output calculation parameters as configuration for BicoMon

LIG O HW S LSC Meeting March 20049

LIG O HW S LSC Meeting March

LIG O HW S LSC Meeting March

LIG O HW S LSC Meeting March Online Demo

LIG O HW S LSC Meeting March Conclusions Bicoherence monitors could be a useful tool for analyzing data for glitches, gaussianity, upconversion, and chirps. We are now at sensitivity where up-converted data can be seen BicoMon operational. BicoViewer works (beta test stage). Now that the IFO is at/near a sensitivity to see bicoherence, we need people to use monitor and make bicoherence an analysis tool on par with PSDs or coherence.