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.
@article{arxiv.gr-qc/0208007,
title = {A cross-correlation technique in wavelet domain for detection of stochastic gravitational waves},
author = {S. Klimenko and G. Mitselmakher and A. Sazonov},
journal= {arXiv preprint arXiv:gr-qc/0208007},
year = {2007}
}