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Abstract:
The F-statistic is an optimal detection statistic for continuous gravitational waves, i.e. long-duration (quasi-)monochromatic signals with slowlyvarying 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 Fstatistic 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 ¯rst Mock LISA Data Challenge. Somewhat surprisingly, the LWL is found to be su±cient { 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.
