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Introduction to Bicoherence Monitors: BicoViewer & BicoMon

Introduction to Bicoherence Monitors: BicoViewer & BicoMon. Steve Penn (HWS). Why use BicoViewer?. Noise Investigations Step 1: Power Spectral Density (PSD) investigation, done in DTT Tells you the frequency and power of the noise If the noise is a “known” source, then you are done

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Introduction to Bicoherence Monitors: BicoViewer & BicoMon

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  1. Introduction to Bicoherence Monitors:BicoViewer & BicoMon Steve Penn (HWS)

  2. Why use BicoViewer? • Noise Investigations • Step 1: Power Spectral Density (PSD) investigation, done in DTT • Tells you the frequency and power of the noise • If the noise is a “known” source, then you are done • Step 2: Coherence investigation , done in DTT • Tells you the phase correlation between two channels • This gives an indication of the physical coupling between these channel source • Step 3: Bicoherence investigation, done in BicoViewer • Tells you the phase correlation phase correlation at different frequencies, possibly different channels • Indicates the coupling either in the physical system or in the sensing LIGO DCC G040410-00-Z

  3. Statistics (1) • “1D” Statistics: (2nd Order Cumulants, 1st Order Spectra) • Correlation: • Power Spectral Density: • Coherence: • Tells us power and phase coherence at a given frequency LIGO DCC G040410-00-Z

  4. Statistics (2) • “2D” Statistics: (3rd Order Cumulants, 2nd Order Spectra) • Bicumulant: • Bispectral Density: • Bicoherence: • Tells us power and phase coherence at a coupled frequency LIGO DCC G040410-00-Z

  5. 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 LIGO DCC G040410-00-Z

  6. BicoViewer (Foreground Monitor) • Plots Bicoherence (auto- or cross-) & PSD’s of input channels • Proper decimation, Optimized windowing, Vectorized FFT • User selects: (Channels, Frequency Range, Frequency resolution, Data Span, Overlap) • Outputs GIF files. Script to make video. • Table of Current and New Parameters with Accuracy & Time Estimates • Plot Countdown clock • Text File Output • Faster Smoothing Routine • Heterodyning • Strip Chart for Monitoring Bicoherence of certain ROI • Output calculation parameters as configuration for BicoMon LIGO DCC G040410-00-Z

  7. Current Version LIGO DCC G040410-00-Z

  8. Current Version (2) LIGO DCC G040410-00-Z

  9. H1:LSC-AS_I movie LIGO DCC G040410-00-Z

  10. H1:LSC-AS_Q movie LIGO DCC G040410-00-Z

  11. Online Demo(requires X windows) On Fortress: > /export/home/spenn/BicoViewer new version soon in DMT LIGO DCC G040410-00-Z

  12. BicoMon: Current Version • 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. • Included proper decimation with filtering rather than rebinning • Tests for Operational State LIGO DCC G040410-00-Z

  13. 3 30 C 2 H1:LSC-AS_Q 16384 H1:SUS-ITMX_OPLEV_PERROR 2048 256 1.0 0.5 64 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_ALL 0 0 0 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_60_2_2 60 2 2 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_60_10_2 60 10 2 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_60_38_2 60 38 2 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_60_50_2 60 50 2 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_120_2_2 120 2 2 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_120_10_2 120 10 2 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_120_38_2 120 38 2 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_120_50_2 120 50 2 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_180_2_2 180 2 2 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_180_10_2 180 10 2 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_180_38_2 180 38 2 M Bico:H1:AS_Q-ITMX_OPLEV_PERROR_180_50_2 180 50 2 C 2 H1:LSC-AS_Q 16384 H1:SUS-ITMY_OPLEV_PERROR 2048 256 1.0 0.5 64 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_ALL 0 0 0 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_60_2_2 60 2 2 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_60_10_2 60 10 2 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_60_38_2 60 38 2 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_60_50_2 60 50 2 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_120_2_2 120 2 2 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_120_10_2 120 10 2 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_120_38_2 120 38 2 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_120_50_2 120 50 2 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_180_2_2 180 2 2 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_180_10_2 180 10 2 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_180_38_2 180 38 2 M Bico:H1:AS_Q-ITMY_OPLEV_PERROR_180_50_2 180 50 2 C 1 H1:LSC-AS_Q 16384 256 1.0 0.5 64 M Bico:H1:AS_Q_ALL 0 0 0 M Bico:H1:AS_Q_120_2_2 120 2 2 M Bico:H1:AS_Q_120_10_2 120 10 2 M Bico:H1:AS_Q_120_38_2 120 38 2 Configuration File Calculation Parameters Measurement Parameters LIGO DCC G040410-00-Z

  14. 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 Testers Needed). • Beta Test Need: 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. LIGO DCC G040410-00-Z

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