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A Nearly Minimum Redundant Correlator Interpolation Formula for Gravitational Wave Chirp Detection

R. P. Croce·Th. Demma·V. Pierro·I. M. Pinto·F. Postiglione
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Abstract

An absolute lower bound on the number of templates needed to keep the fitting factor above a prescribed minimal value $Γ$ in correlator bank detection of (newtonian) gravitational wave chirps from unknown inspiraling compact binary sources is derived, resorting to the theory of quasi-bandlimited functions in the $L^\infty$ 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 $Γ$. Extension to post-newtonian models is outlined.

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R. P. Croce, Th. Demma, V. Pierro, I. M. Pinto, F. Postiglione. 2000-05-04. A Nearly Minimum Redundant Correlator Interpolation Formula for Gravitational Wave Chirp Detection. https://doi.org/10.1103/physrevd.62.124020

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