Wavelet entropy filter and cross-correlation of gravitational wave data

Details Wavelet entropy filter and cross-correlation of gravitational wave data Wavelet entropy filter and cross-correlation of gravitational wave data

2009-05-18

arxiv.org/abs/0905.2984v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 6 figures. Proceeding of the GWDAW-13 conference

Scientific paper

We present a method for enhancing the cross-correlation of gravitational wave signals eventually present in data streams containing otherwise uncorrelated noise. Such method makes use of the wavelet decomposition to cast the cross-correlation time series in time-frequency space. Then an entropy criterion is applied to identify the best time frequency resolution, i.e. the resolution allowing to concentrate the signal in the smallest number of wavelet coefficients. By keeping only the coefficients above a certain threshold, it is possible to reconstruct a cross-correlation time series where the effect of common signal is stronger. We tested our method against signals injected over two data streams of uncorrelated white noise.

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