Matched filtering of gravitational waves from inspiraling compact binaries: Computational cost and template placement

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Abstract

We estimate the number of templates, computational power, and storage required for a one-step matched filtering search for gravitational waves from inspiraling compact binaries. Our estimates for the one-step search strategy should serve as benchmarks for the evaluation of more sophisticated strategies such as hierarchical searches. We use a discrete family of two-parameter wave form templates based on the second post-Newtonian approximation for binaries composed of nonspinning compact bodies in circular orbits. We present estimates for all of the large- and mid-scale interferometers now under construction: LIGO (three configurations), VIRGO, GEO600, and TAMA. To search for binaries with components more massive than (Formula presented) while losing no more than (Formula presented) of events due to coarseness of template spacing, the initial LIGO interferometers will require about (Formula presented) flops (floating point operations per second) for data analysis to keep up with data acquisition. This is several times higher than estimated in previous work by Owen, in part because of the improved family of templates and in part because we use more realistic (higher) sampling rates. Enhanced LIGO, GEO600, and TAMA will require computational power similar to initial LIGO. Advanced LIGO will require (Formula presented) flops, and VIRGO will require (Formula presented) flops to take full advantage of its broad target noise spectrum. If the templates are stored rather than generated as needed, storage requirements range from (Formula presented) real numbers for TAMA to (Formula presented) for VIRGO. The computational power required scales roughly as (Formula presented) and the storage as (Formula presented) Since these scalings are perturbed by the curvature of the parameter space at second post-Newtonian order, we also provide estimates for a search with (Formula presented) Finally, we sketch and discuss an algorithm for placing the templates in the parameter space.

Original languageEnglish
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume60
Issue number2
DOIs
StatePublished - 1999

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