Normal/independent noise in VIRGO data

Details Normal/independent noise in VIRGO data Normal/independent noise in VIRGO data

Oct 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cqgra..23s.829a&link_type=abstract

Classical and Quantum Gravity, Volume 23, Issue 19, pp. S829-S836 (2006).

Statistics

Scientific paper

The analysis of data taken during the C7 VIRGO commissioning run showed strong deviations from Gaussian noise. In this work, we explore a family of distributions, derived from the hypothesis that heavy tails are an effect of a particular kind of nonstationarity, heterocedasticity (i.e. nonuniform variance), that appear to fit VIRGO noise better than a model based on the assumption of Gaussian noise. To estimate the parameters of the noise process (including the heterogeneous variance) we derived an expectation-maximization algorithm. We show the consequences of non-Gaussianity on the fitting of autoregressive filters and on the derivation of test statistics for matched filter operation. Finally, we apply the new noise model to the fitting of an autoregressive filter for whitening of data.

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