We consider a three dimensional family of filters based on broken power law
spectra to search for gravitational wave stochastic backgrounds in the data
from Earth-based laser interferometers. We show that such templates produce the
necessary fitting factor for a wide class of cosmological backgrounds and
astrophysical foregrounds and that the total number of filters required to
search for those signals in the data from first generation laser
interferometers operating at the design sensitivity is fairly smallComment: 4 pages, 4 figures, uses iopart.cls, accepted for publications on
Classical and Quantum Gravity (Special Issue, Proceedings of Amaldi 2003
