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\mathcal{F} -statistic search for white-dwarf binaries in the first Mock LISA Data Challenge

Reinhard Prix and John T Whelan

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The \mathcal{F} -statistic is an optimal detection statistic for continuous gravitational waves, i.e., long-duration (quasi-)monochromatic signals with slowly-varying intrinsic frequency. This method was originally developed in the context of ground-based detectors, but it is equally applicable to LISA where many signals fall into this class of signals. We report on the application of a LIGO/GEO \mathcal{F} -statistic code to LISA data-analysis using the long-wavelength limit (LWL), and we present results of our search for white-dwarf binary signals in the first Mock LISA Data Challenge. Somewhat surprisingly, the LWL is found to be sufficient—even at high frequencies—for detection of signals and their accurate localization on the sky and in frequency, while a more accurate modelling of the TDI response only seems necessary to correctly estimate the four amplitude parameters.


PACS

97.20.Rp Faint blue stars (including blue stragglers), white dwarfs, degenerate stars, nuclei of planetary nebulae

95.55.Ym Gravitational radiation detectors; mass spectrometers; and other instrumentation and techniques

95.55.Br Astrometric and interferometric instruments

97.80.Af Astrometric and interferometric binaries

04.80.Nn Gravitational wave detectors and experiments

MSC

83C35 Gravitational waves

85A15 Galactic and stellar structure

Subjects

Instrumentation and measurement

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 19 (7 October 2007)

Received 10 April 2007, in final form 30 June 2007

Published 19 September 2007



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