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Optimal filtering of the LISA data

Andrzej Krolak·Massimo Tinto·Michele Vallisneri
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Abstract

The LISA time-delay-interferometry responses to a gravitational-wave signal are rewritten in a form that accounts for the motion of the LISA constellation around the Sun; the responses are given in closed analytic forms valid for any frequency in the band accessible to LISA. We then present a complete procedure, based on the principle of maximum likelihood, to search for stellar-mass binary systems in the LISA data. We define the required optimal filters, the amplitude-maximized detection statistic (analogous to the F statistic used in pulsar searches with ground-based interferometers), and discuss the false-alarm and detection probabilities. We test the procedure in numerical simulations of gravitational-wave detection.

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Andrzej Krolak, Massimo Tinto, Michele Vallisneri. 2007-07-19. Optimal filtering of the LISA data. https://doi.org/10.1103/physrevd.70.022003%2010.1103%2Fphysrevd.76.069901

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