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A cross-correlation technique in wavelet domain for detection of stochastic gravitational waves

S. Klimenko·G. Mitselmakher·A. Sazonov
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Abstract

Stochastic gravitational waves (SGW) can be detected by measuring a cross-correlation of two or more gravitational wave (GW) detectors. In this paper we describe an optimal SGW search technique in the wavelet domain. It uses a sign correlation test, which allows calculation of the cross- correlation significance for non-Gaussian data. We also address the problem of correlated noise for the GW detectors. A method that allows calculation of the cross-correlation variance, when data is affected by correlated noise, is developed. As a part of the optimal search technique a robust estimator for detector noise spectral amplitude is introduced. It is not sensitive to outliers and allows application of the search technique to non-stationary data.

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S. Klimenko, G. Mitselmakher, A. Sazonov. 2002-08-02. A cross-correlation technique in wavelet domain for detection of stochastic gravitational waves. https://arxiv.org/abs/gr-qc/0208007

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