  Binary Systems are the most studied sources of gravitational waves. The
mechanisms of emission and the behavior of the orbital parameters are well
known and can be written in analytic form in several cases. Besides, the
strongest indication of the existence of gravitational waves has arisen from
the observation of binary systems. On the other hand, when the detection of
gravitational radiation becomes a reality, one of the observed pattern of the
signals will be probably of stochastic background nature, which are
characterized by a superposition of signals emitted by many sources around the
universe. Our aim here is to develop an alternative method of calculating such
backgrounds emitted by cosmological compact binary systems during their
periodic or quasiperiodic phases. We use an analogy with a problem of
Statistical Mechanics in order to perform this sum as well as taking into
account the temporal variation of the orbital parameters of the systems. Such a
kind of background is of particular importance since it could well form an
important foreground for the planned gravitational wave interferometers
DECI-Hertz Interferometer Gravitational wave Observatory (DECIGO), Big Bang
Observer (BBO), Laser Interferometer Space Antenna (LISA) or Evolved LISA
(eLISA), Advanced Laser Interferometer Gravitational-Wave Observatory (ALIGO)
and Einstein Telescope (ET).

Cosmology and Nongalactic Astrophysics;General Relativity and Quantum Cosmology