Improved Filters for Gravitational Waves from Inspiralling Compact Binaries

Details Improved Filters for Gravitational Waves from Inspiralling Compact Binaries Improved Filters for Gravitational Waves from Inspiralling Compact Binaries

Oct 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997pb...rept...97d&link_type=abstract

Technical Report, PB98-151954; IHES/P/97/76 ; Dept. d'Astrophysique Relativiste et de Cosmologie

Astronomy and Astrophysics

Astronomy

Gravitational Waves, Binary Stars, Neutron Stars, Black Holes (Astronomy), Detection, Waveforms, Pade Approximation, P Waves, Flux Density, Extraction, Bias

Scientific paper

The order of the post-Newtonian expansion needed, to extract in a reliable and accurate manner the fully general relativistic gravitational wave signal from inspiralling compact binaries, is explored. A class of approximate wave forms, called P-approximants, is constructed based on the following two inputs: (1) The introduction of two new energy-type and flux-type functions e(v) and f(v), respectively, (2) the systematic use of Pade approximation for constructing successive approximants of e(v) and f(v). The new P-approximants are not only more effectual (larger overlaps) and more faithful (smaller biases) than the standard Taylor approximants, but also converge faster and monotonically. The presently available (v/c)5-accurate post-Newtonian results can be used to construct P-approximate wave forms that provide overlaps with the exact wave form larger than 96.5 percent implying that more than 90 percent of potential events can be detected with the aid of P-approximants as opposed to a mere 10-15 percent that would be detectable using standard post-Newtonian approximants.

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