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Detecting a stochastic background of gravitational waves by correlating n detectors

Orestis Malaspinas·Riccardo Sturani
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Abstract

We discuss the optimal detection strategy for a stochastic background of gravitational waves in the case n detectors are available. In literature so far, only two cases have been considered: 2- and n-point correlators. We generalize these analysises to m-point correlators (with m<n) built out of the n detector signals, obtaining the result that the optimal choice is to combine 2-point correlators. Correlating n detectors in this optimal way will improve the (suitably defined) signal-to-noise ratio with respect to the n=2 case by a factor equal to the fourth root of n(n-1)/2. Finally we give an estimation of how this could improve the sensitivity for a network of multi-mode spherical antennas.

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Orestis Malaspinas, Riccardo Sturani. 2005-11-23. Detecting a stochastic background of gravitational waves by correlating n detectors. https://doi.org/10.1088/0264-9381%2F23%2F2%2F003

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