Optimal filtering of the LISA data

Details Optimal filtering of the LISA data Optimal filtering of the LISA data

2004-01-27

arxiv.org/abs/gr-qc/0401108v3

Phys.Rev.D70:022003,2004; Erratum-ibid.D76:069901,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX4, 28 pages, 9 EPS figures. Minus signs fixed in Eq. (46) and Table II. Corrected discussion of F-statistic distribution

Scientific paper

10.1103/PhysRevD.70.022003

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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