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Phys. Rev. D 70, 022003 (2004) [24 pages]

Optimal filtering of the LISA data

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Andrzej Królak*, Massimo Tinto†, and Michele Vallisneri‡
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA

See Also: Erratum

Received 19 January 2004; published 26 July 2004

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 then test the procedure in numerical simulations of gravitational-wave detection.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.022003
DOI:
10.1103/PhysRevD.70.022003
PACS:
95.55.Ym, 04.80.Nn, 95.75.Pq, 97.60.Gb

*Also at Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland. Electronic address: A.krolak@impan.gov.pl

†Also at Space Radiation Laboratory, California Institute of Technology, Pasadena, CA 91125. Electronic address: Massimo.Tinto@jpl.nasa.gov

‡Electronic address: Michele.Vallisneri@jpl.nasa.gov

See Also

Erratum: Andrzej Królak, Massimo Tinto, and Michele Vallisneri, Erratum: Optimal filtering of the LISA data [Phys. Rev. D 70, 022003 (2004)], Phys. Rev. D 76, 069901 (2007).

 
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