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Journal Article

Kolmogorov-Smirnov like test for time-frequency Fourier spectrogram analysis in LISA Pathfinder

MPS-Authors
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Audley,  Heather
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Diepholz,  Ingo
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Hewitson,  Martin
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

Korsakova,  Natalia
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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ExA39_1.pdf
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Citation

Ferraioli, L., Armano, M., Audley, H., Congedo, G., Diepholz, I., Gibert, F., et al. (2015). Kolmogorov-Smirnov like test for time-frequency Fourier spectrogram analysis in LISA Pathfinder. Experimental Astronomy, 39(1), 1-10. doi:10.1007/s10686-014-9432-z.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0026-BC21-3
Abstract
A statistical procedure for the analysis of time-frequency noise maps is presented and applied to LISA Pathfinder mission synthetic data. The procedure is based on the Kolmogorov-Smirnov like test that is applied to the analysis of time-frequency noise maps produced with the spectrogram technique. The influence of the finite size windowing on the statistic of the test is calculated with a Monte Carlo simulation for 4 different windows type. Such calculation demonstrate that the test statistic is modified by the correlations introduced in the spectrum by the finite size of the window and by the correlations between different time bins originated by overlapping between windowed segments. The application of the test procedure to LISA Pathfinder data demonstrates the test capability of detecting non-stationary features in a noise time series that is simulating low frequency non-stationary noise in the system.