Mapping Constructive Interference of Galactic White Dwarf Binaries in LISA Data

Integral to the success of global fit analyses and the cataloging of sources with LISA is the resolvability of sources. Both of these large scale endeavors necessitate the ability to separate the nearly overwhelming number of overlapping signals. Utilizing an analytic description of time-delayed interferometry (TDI), we examine the mapping between two galactic white dwarf binary (GWDB) signals and a single GWDB signal. As more data becomes available, this mapping will allow cataloging algorithms to identify single GWDB signals which are really two or two which are really one. Furthermore, the global fit takes as a parameter the number of sources; separating sources will allow for a more accurate estimation of the parameter space and thus a more accurate global fit. In this presentation, we share preliminary results for the GWDB signal mapping and discuss our future goals.