Optimal filtering of the LISA data
Abstract
The LISA timedelayinterferometry 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 stellarmass binary systems in the LISA data. We define the required optimal filters, the amplitudemaximized detection statistic (analogous to the F statistic used in pulsar searches with groundbased interferometers), and discuss the falsealarm and detection probabilities. We then test the procedure in numerical simulations of gravitationalwave detection.
 Publication:

Physical Review D
 Pub Date:
 July 2004
 DOI:
 10.1103/PhysRevD.70.022003
 arXiv:
 arXiv:grqc/0401108
 Bibcode:
 2004PhRvD..70b2003K
 Keywords:

 95.55.Ym;
 04.80.Nn;
 95.75.Pq;
 97.60.Gb;
 Gravitational radiation detectors;
 mass spectrometers;
 and other instrumentation and techniques;
 Gravitational wave detectors and experiments;
 Mathematical procedures and computer techniques;
 Pulsars;
 General Relativity and Quantum Cosmology
 EPrint:
 RevTeX4, 28 pages, 9 EPS figures. Minus signs fixed in Eq. (46) and Table II. Corrected discussion of Fstatistic distribution in Sec. IV B