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We compare two multi-detector detection strategies, namely, the coincidenceand the coherent, for the detection of spinless inspiraling compact binarygravitational wave signals. The coincident strategy treats the detectors as ifthey are isolated - compares individual detector statistics with theirrespective thresholds while the coherent strategy combines the detector networkdata {\it phase coherently} to obtain a single detection statistic which isthen compared with a single threshold. In the case of geographically separateddetectors, we also consider an {\it enhanced} coincidence strategy because theusual (naive) coincidence strategy yields poor results for misaligneddetectors. For simplicity, we consider detector pairs having the same powerspectral density of noise, as that of initial LIGO and also assume the noise tobe stationary and Gaussian. We compare the performances of the methods byplotting the \emph{receiver operating characteristic} (ROC) for the twostrategies. A single astrophysical source as well as a distribution of sourcesis considered. We find that the coherent strategy performs better than the twocoincident strategies under the assumptions of stationary Gaussian detectornoise.

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