Coherent versus coincidence detection of gravitational wave signals from compact inspiraling binaries

Details Coherent versus coincidence detection of gravitational wave signals from compact inspiraling binaries Coherent versus coincidence detection of gravitational wave signals from compact inspiraling binaries

2010-03-29

arxiv.org/abs/1003.5490v1

Int.J.Mod.Phys.D20:2051-2056,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Based on the presentation at the 1st Galileo Xu Guangqi conference, Shanghai.

Scientific paper

10.1142/S0218271811020160

We compare two multi-detector detection strategies, namely, the coincidence and the coherent, for the detection of spinless inspiraling compact binary gravitational wave signals. The coincident strategy treats the detectors as if they are isolated - compares individual detector statistics with their respective thresholds while the coherent strategy combines the detector network data {\it phase coherently} to obtain a single detection statistic which is then compared with a single threshold. In the case of geographically separated detectors, we also consider an {\it enhanced} coincidence strategy because the usual (naive) coincidence strategy yields poor results for misaligned detectors. For simplicity, we consider detector pairs having the same power spectral density of noise, as that of initial LIGO and also assume the noise to be stationary and Gaussian. We compare the performances of the methods by plotting the \emph{receiver operating characteristic} (ROC) for the two strategies. A single astrophysical source as well as a distribution of sources is considered. We find that the coherent strategy performs better than the two coincident strategies under the assumptions of stationary Gaussian detector noise.

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