Nearly minimum redundant correlator interpolation formula for gravitational wave chirp detection - art. no. 124020

An absolute lower bound on the number of templates needed to keep the fitti ng factor above a prescribed minimal value Gamma in correlator-bank detecti on of (Newtonian) gravitational wave chirps from unknown inspiraling compac t binary stars is derived, resorting to the theory of quasi-band-limited fu nctions in the L-infinity norm. An explicit nearly minimum redundant cardin al-interpolation formula for the (reduced, noncoherent) correlator is intro duced. Its computational burden and statistical properties are compared to those of the plain lattice of (reduced, noncoherent) correlators, for the s ame Gamma. An extension to post-Newtonian models is outlined.