Data analysis methods for gravitational wave searches from binary inspirals and gamma-ray bursts
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Abstract
We investigate and develop data analysis methods for gravitational wave searches from binary inspirals and gamma-ray bursts. The first technique is a low-latency fully coherent network analysis of gravitational wave detector data to infer information on compact binary coalescence. It uses the stationary phase approximation, optimizes using particle swarm optimization, and an implementation is developed for high-performance computing. We present results that show that particle swarm optimizations allows for a significant reduction in the computational cost of the coherent analysis while incurring negligible loss in sensitivity. We then present an accelerated algorithm that is approximately 30 times faster, which enables it to be run as a low-latency search. We show that the computation times are close to enabling an "always on" search to be feasible. The second technique concerns gamma-ray bursts. Given a set of observed astrophysical events, such as gamma ray bursts, it is possible to combine gravitational wave detector data that is temporally associated with these events to infer population properties of the sources. A method is presented for better integration of available non-gravitational wave data-- mainly from the electromagnetic signature of the events -- into such population studies. Given a population model for the gravitational wave emission properties of a class of astrophysical sources, the method combines gravitational and non-gravitational wave data into a joint likelihood function and obtains maximum likelihood estimates of the model parameters. A toy model is used to illustrate the application of the method.