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The F-statistic is an optimal detection statistic for continuousgravitational waves, i.e., long-duration (quasi-)monochromatic signals withslowly-varying intrinsic frequency. This method was originally developed in thecontext of ground-based detectors, but it is equally applicable to LISA wheremany signals fall into this class of signals. We report on the application of aLIGO/GEO 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 inthe first Mock LISA Data Challenge. Somewhat surprisingly, the LWL is found tobe sufficient -- even at high frequencies -- for detection of signals and theiraccurate localization on the sky and in frequency, while a more accuratemodelling of the TDI response only seems necessary to correctly estimate thefour amplitude parameters.

F-statistic search for white-dwarf binaries in the first Mock LISA Data Challenge