2001/02/06 by Julien Sylvestre
Engineering · Physics and Astronomy · #Algorithm #Astrophysics #Atomic and Subatomic Physics Research #Computer science #Detector #Geophysics and Sensor Technology #Gravitational wave #Nonlinear system #Optics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #gr-qc
paper · pdf · doi:10.1103/physrevd.63.082004
published as Phys.Rev. D63 (2001) 082004 · 9 pages, 3 figures, to appear in Phys. Rev. D
arxiv created 2001/02/06 · openalex publication_date 2001/03/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present an algorithm for the detection of periodic sources of gravitational waves with interferometric detectors that is based on a special symmetry of the problem: the contributions to the phase modulation of the signal from Earth's rotation are exactly equal and opposite at any two instants of time separated by half a sidereal day; the corresponding is true for the contributions from Earth's orbital motion for half a sidereal year, assuming a circular orbit. The addition of phases through multiplications of the shifted time series gives a demodulated signal; specific attention is given to the reduction of noise mixing resulting from these multiplications. We discuss the statistics of this algorithm for all-sky searches (which include a parametrization of the source spin-down), in particular its optimal sensitivity as a function of required computational power. Two specific examples of all-sky searches (broadband and narrowband) are explored numerically, and their performances are compared with the stack-slide technique [P. R. Brady and T. Creighton, Phys. Rev. D 61, 082001 (2000)].