An absolute lower bound on the number of templates needed to keep the fitting factor above a prescribed minimal value (Formula presented) in correlator-bank detection of (Newtonian) gravitational wave chirps from unknown inspiraling compact binary stars is derived, resorting to the theory of quasi-band-limited functions in the (Formula presented) norm. An explicit nearly minimum redundant cardinal-interpolation formula for the (reduced, noncoherent) correlator is introduced. Its computational burden and statistical properties are compared to those of the plain lattice of (reduced, noncoherent) correlators, for the same (Formula presented) An extension to post-Newtonian models is outlined. © 2000 The American Physical Society.
Nearly minimum redundant correlator interpolation formula for gravitational wave chirp detection / Croce, R. P.; Demma, Th.; Pierro, V.; Pinto, I. M.; Postiglione, F.. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - 62:12(2000), p. 12. [10.1103/PhysRevD.62.124020]
Nearly minimum redundant correlator interpolation formula for gravitational wave chirp detection
I. M. Pinto;
2000
Abstract
An absolute lower bound on the number of templates needed to keep the fitting factor above a prescribed minimal value (Formula presented) in correlator-bank detection of (Newtonian) gravitational wave chirps from unknown inspiraling compact binary stars is derived, resorting to the theory of quasi-band-limited functions in the (Formula presented) norm. An explicit nearly minimum redundant cardinal-interpolation formula for the (reduced, noncoherent) correlator is introduced. Its computational burden and statistical properties are compared to those of the plain lattice of (reduced, noncoherent) correlators, for the same (Formula presented) An extension to post-Newtonian models is outlined. © 2000 The American Physical Society.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
