paper

On the crosscorrelation between Gravitational Wave Detectors for detecting association with Gamma Ray Bursts

arXiv:astro-ph/0110620 · doi:10.1103/PhysRevD.65.022005

Abstract

Crosscorrelation of the outputs of two Gravitational Wave (GW) detectors has recently been proposed [1] as a method for detecting statistical association between GWs and Gamma Ray Bursts (GRBs). Unfortunately, the method can be effectively used only in the case of stationary noise. In this work a different crosscorrelation algorithm is presented, which may effectively be applied also in non-stationary conditions for the cumulative analysis of a large number of GRBs. The value of the crosscorrelation at zero delay, which is the only one expected to be correlated to any astrophysical signal, is compared with the distribution of crosscorrelation of the same data for all non-zero delays within the integration time interval. This background distribution is gaussian, so the statistical significance of an experimentally observed excess would be well-defined. Computer simulations using real noise data of the cryogenic GW detectors Explorer and Nautilus with superimposed delta-like signals were performed, to test the effectiveness of the method, and theoretical estimates of its sensitivity compared to the results of the simulation. The effectiveness of the proposed algorithm is compared to that of other cumulative techniques, finding that the algorithm is particularly effective in the case of non-gaussian noise and of a large (100-1000s) and unpredictable delay between GWs and GRBs.

7 pages, 4 figures, 1 table. Submitted by Phys. Rev. D

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