Gravitational Wave Chirp Search: Economization of PN Matched Filter Bank via Cardinal Interpolation

Abstract

The final inspiral phase in the evolution of a compact binary consisting of black holes and/or neutron stars is among the most probable events that a network of ground-based interferometric gravitational wave detectors is likely to observe. Gravitational radiation emitted during this phase will have to be dug out of noise by matched-filtering (correlating) the detector output with a bank of several $10^5$ templates, making the computational resources required quite demanding, though not formidable. We propose an interpolation method for evaluating the correlation between template waveforms and the detector output and show that the method is effective in substantially reducing the number of templates required. Indeed, the number of templates needed could be a factor $\sim 4$ smaller than required by the usual approach, when the minimal overlap between the template bank and an arbitrary signal (the so-called {\it minimal match}) is 0.97. The method is amenable to easy implementation, and the various detector projects might benefit by adopting it to reduce the computational costs of inspiraling neutron star and black hole binary search.

arXiv commentscheduled for publicatin on Phys. Rev. D 62

References in corpus (13)

• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Effective one-body approach to general relativistic two-body dynamics
• Observing binary inspiral in gravitational radiation: One interferometer
• Gravitational-Radiation Damping of Compact Binary Systems to Second Post-Newtonian order
• The Last Three Minutes: Issues in Gravitational Wave Measurements of Coalescing Compact Binaries
• Search templates for gravitational waves from inspiraling binaries: Choice of template spacing
• Matched filtering of gravitational waves from inspiraling compact binaries: Computational cost and template placement
• Improved filters for gravitational waves from inspiralling compact binaries
• Gravitational wave astronomy
• Energy losses by gravitational radiation in inspiralling compact binaries to five halves post-Newtonian order
• Frequency-domain P-approximant filters for time-truncated inspiral gravitational wave signals from compact binaries
• Filtering post-Newtonian gravitational waves from coalescing binaries
• The use of new coordinates for the template space in hierarchical search for gravitational waves from inspiraling binaries

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• Optimum Placement of Post-1PN GW Chirp Templates Made Simple at any Match Level via Tanaka-Tagoshi Coordinates
• Tanaka-Tagoshi Parametrization of post-1PN Spin-Free Gravitational Wave Chirps: Equispaced and Cardinal Interpolated Lattices For First Generation Interferometric Antennas
• More on Tanaka-Tagoshi Parametrization of post-1PN Spin-Free Gravitational Wave Chirps: Equispaced and Cardinal Interpolated Lattices