Mock LISA Data Challenge 2 : F - statistic Search for white - dwarf binaries

We use the F -statistic, a coherent matched-filtering detection statistic first introduced by Jaranowski et al. [6] in the context of the search for continuouswave signals in ground based detectors. This method has been implemented by the LIGO Scientific collaboration in LAL/LALApps [8], and is currently used in the search for quasi-periodic GW signals from spinning neutron stars (e.g. see [1]). The generalization of the F -statistic to a coherent multidetector search was first obtained by Cutler and Schutz [4]. The application of the F -statistic to the search of continuous-wave sources (such as galactic white-dwarf binaries) using LISA was first discussed in Królak et al. [7]. The multi-detector F -statistic has been implemented in LALapps, in the code ComputeFStatistic v2, which we are using for the present analysis.