Optimal strategies for sinusoidal signal detection

Bruce Allen; Maria Alessandra Papa; Bernard F. Schutz

doi:10.1103/PhysRevD.66.102003

Optimal strategies for sinusoidal signal detection

Bruce Allen, Maria Alessandra Papa, and Bernard F. Schutz

Phys. Rev. D 66, 102003 – Published 27 November 2002

Abstract

We derive and study optimal and nearly optimal strategies for the detection of sinusoidal signals hidden in additive (Gaussian and non-Gaussian) noise. Such strategies are an essential part of algorithms for the detection of the gravitational continuous wave (cw) signals produced by pulsars. Optimal strategies are derived for the case where the signal phase is not known and the product of the signal frequency and the observation time is nonintegral.

Received 11 June 2002

DOI:https://doi.org/10.1103/PhysRevD.66.102003

Authors & Affiliations

Bruce Allen^*

Department of Physics, University of Wisconsin – Milwaukee, P. O. Box 413, Milwaukee, Wisconsin 53201

Maria Alessandra Papa^† and Bernard F. Schutz^‡

Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Golm, Germany

^*Electronic address: ballen@uwm.edu
^†Electronic address: papa@aei.mpg.de
^‡Electronic address: schutz@aei.mpg.de

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Vol. 66, Iss. 10 — 15 November 2002

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Physical Review D

covering particles, fields, gravitation, and cosmology