Optimal filtering of the LISA data
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 then test the procedure in numerical simulations of gravitational-wave detection.
- Publication:
-
Physical Review D
- Pub Date:
- July 2004
- DOI:
- arXiv:
- arXiv:gr-qc/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
- E-Print:
- RevTeX4, 28 pages, 9 EPS figures. Minus signs fixed in Eq. (46) and Table II. Corrected discussion of F-statistic distribution in Sec. IV B