Steve Penn (HWS) & Vijay Chickarmane (LSU)

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Presentation transcript:

Steve Penn (HWS) & Vijay Chickarmane (LSU) BicoMon Steve Penn (HWS) & Vijay Chickarmane (LSU) LIGO-G030508-00-Z

What are Higher Order Statistics? 1D Statistics: Correlation: Power Spectral Density: Coherence: Tells us power and phase coherence at a given frequency LIGO-G030508-00-Z

Second Order Statistics 2D Statistics: Bicumulant: Bispectral Density: Bicoherence: Tells us power and phase coherence at a coupled frequency LIGO-G030508-00-Z

Why Higher Order Statistics? For a Gaussian process: For independent processes: Allows for separation of Gaussian process for n>2 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-G030508-00-Z

Monitor Plan - MatLab tool Flexible tool for quickly examining auto-bicoherence Allows one to see evidence of bilinear couplings Exists! Does not allow continual monitoring. Does not allow full diagnosis of problem (no cross-bicoherence) Vijay will continue development for upcoming E runs, S3. Gaby will discuss result in next talk. LIGO-G030508-00-Z

Monitor Plan - Foreground Monitor Plots (cross-)bicoherence, (cross-)bispectrum, & PSD’s Automatic decimation Optimized windowing User specified: fmax & Df (Limited to factor 2n) accuracy/averaging Calculation method Outputs GIF files of the plots Vectorized FFT routines for speed Heterodyning Monitoring BC of certain ROI and changes in BC Output of ROI to Background Monitor Not done LIGO-G030508-00-Z

Monitor Plan - Background Monitor Monitors integrated BC in ROI Monitors changes in BC in ROI Monitors integrated BC over unique area (Gaussianity) Underdevelopment for mini-Eruns LIGO-G030508-00-Z