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

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 mmin50.2M( while losing no more than 10% of events due to coarseness of template spacing, the initial LIGO interferometers will require about 1.0310 11 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 7.8310 11 flops, and VIRGO will require 4.8 310 12 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 1.5 310 11 real numbers for TAMA to 6.2310 14 for VIRGO. The computational power required scales roughly as mmin8/3 and the storage as mmin13/3 . 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 mmin51M( . Finally, we sketch and discuss an algorithm for placing the templates in the parameter space. @S0556-2821~99!05214-5#

[1]  P. C. Peters.  Gravitational Radiation and the Motion of Two Point Masses , 1964 .

[2]  C. Helstrom,et al.  Statistical theory of signal detection , 1968 .

[3]  Detection of gravitational radiation , 1974 .

[4]  B. Sathyaprakash,et al.  Choice of filters for the detection of gravitational waves from coalescing binaries. , 1991, Physical review. D, Particles and fields.

[5]  E. Phinney.  The Rate of Neutron Star Binary Mergers in the Universe: Minimal Predictions for Gravity Wave Detectors , 1991 .

[6]  T. Piran,et al.  Neutron Star and Black Hole Binaries in the Galaxy , 1991 .

[7]  B. S. Sathyaprakash,et al.  A parallel algorithm for filtering gravitational waves from coalescing binaries , 1992 .

[8]  Joshua R. Smith,et al.  LIGO: the Laser Interferometer Gravitational-Wave Observatory , 1992, Science.

[9]  Flanagan,et al.  Gravitational waves from merging compact binaries: How accurately can one extract the binary's parameters from the inspiral waveform? , 1994, Physical review. D, Particles and fields.

[10]  Performance of Newtonian filters in detecting gravitational waves from coalescing binaries. , 1994, Physical review. D, Particles and fields.

[11]  B. Sathyaprakash,et al.  Choice of filters for the detection of gravitational waves from coalescing binaries. II. Detection in colored noise. , 1994, Physical review. D, Particles and fields.

[12]  Joseph Taylor,et al.  Binary pulsars and relativistic gravity , 1994 .

[13]  Filtering post-Newtonian gravitational waves from coalescing binaries. , 1994, Physical review. D, Particles and fields.

[14]  T. Apostolatos,et al.  Search templates for gravitational waves from precessing, inspiraling binaries. , 1995, Physical review. D, Particles and fields.

[15]  Blanchet,et al.  Gravitational-radiation damping of compact binary systems to second post-Newtonian order. , 1995, Physical review letters.

[16]  Estimation of the post-Newtonian parameters in the gravitational-wave emission of a coalescing binary. , 1995, Physical review. D, Particles and fields.

[17]  Gravitational waves from inspiraling compact binaries: Parameter estimation using second-post-Newtonian waveforms. , 1995, Physical review. D, Particles and fields.

[18]  Post-Newtonian expansion of gravitational waves from a particle in circular orbit around a rotating black hole: Up to O(v8) beyond the quadrupole formula. , 1996, Physical review. D, Particles and fields.

[19]  SD Mohanty,et al.  Hierarchical search strategy for the detection of gravitational waves from coalescing binaries. , 1996 .

[20]  Owen.  Search templates for gravitational waves from inspiraling binaries: Choice of template spacing. , 1996, Physical review. D, Particles and fields.

[21]  Mohanty,et al.  Hierarchical search strategy for the detection of gravitational waves from coalescing binaries. , 1996, Physical review. D, Particles and fields.

[22]  Construction of a template family for the detection of gravitational waves from coalescing binaries. , 1996, Physical review. D, Particles and fields.

[23]  Balasubramanian,et al.  Erratum: Gravitational waves from coalescing binaries: Detection strategies and Monte Carlo estimation of parameters , 1996, Physical review. D, Particles and fields.

[24]  Erratum: Gravitational waves from coalescing binaries: Detection strategies and Monte Carlo estimation of parameters [Phys. Rev. D 53, 3033 (1996)] , 1996 .

[25]  S. Zwart,et al.  The galactic merger-rate of neutron star binaries: perspectives for gravity-wave detectors , 1996 .

[27]  Harald Lück,et al.  The GEO600 project , 1997 .

[28]  K. Thorne,et al.  Gravitational Waves from Coalescing Black Hole MACHO Binaries , 1997, astro-ph/9708060.

[29]  Marco Lops,et al.  The Virgo interferometer , 1997 .

[30]  Bernard F. Schutz,et al.  Gravitational waves from hot young rapidly rotating neutron stars , 1998, gr-qc/9804044.

[31]  Measurement of Relativistic Orbital Decay in the PSR B1534+12 Binary System , 1997, astro-ph/9712296.

[32]  Improved filters for gravitational waves from inspiraling compact binaries , 1997, gr-qc/9708034.

[33]  B. Owen,et al.  Gravitational waves from inspiraling compact binaries: Validity of the stationary-phase approximation to the Fourier transform , 1999, gr-qc/9901076.