  The Laser Interferometer Space Antenna (LISA) mission, scheduled for launch
in the early 2030s, is a gravitational wave observatory in space designed to
detect sources emitting in the milli-Hertz band. In contrast to the present
ground based detectors, the LISA data are expected to be a signaldominated,
with strong and weak gravitational wave signals overlapping in time and in
frequency. Astrophysical population models predict a sufficient number of
signals in the LISA band to blend together and form an irresolvable foreground
noise. In this work, we present a generic method for characterizing the
foreground signals originating from a given astrophysical population of
coalescing compact binaries. Assuming idealized detector conditions and perfect
data analysis technique capable of identifying and removing the bright sources,
we apply an iterative procedure which allows us to predict the different levels
of foreground noise.
