Gravitational waves from eccentric compact binaries: Reduction in signal-to-noise ratio due to nonoptimal signal processing

Abstract

Inspiraling compact binaries have been identified as one of the most promising sources of gravitational waves for interferometric detectors. Most of these binaries are expected to have circularized by the time their gravitational waves enter the instrument's frequency band. However, the possibility that some of the binaries might still possess a significant eccentricity is not excluded. We imagine a situation in which eccentric signals are received by the detector but not explicitly searched for in the data analysis, which uses exclusively circular waveforms as matched filters. We ascertain the likelihood that these filters, though not optimal, will nevertheless be successful at capturing the eccentric signals. We do this by computing the loss in signal-to-noise ratio incurred when searching for eccentric signals with those nonoptimal filters. We show that for a binary system of a given total mass, this loss increases with increasing eccentricity. We show also that for a given eccentricity, the loss decreases as the total mass is increased.

14 pages, 4 figures, ReVTeX; minor changes made after referee's comments

References in corpus (16)

• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Measuring gravitational waves from binary black hole coalescences: I. Signal to noise for inspiral, merger, and ringdown
• Search templates for gravitational waves from inspiraling binaries: Choice of template spacing
• Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms
• Matched filtering of gravitational waves from inspiraling compact binaries: Computational cost and template placement
• Gravitational waveforms from inspiralling compact binaries to second-post-Newtonian order
• Improved filters for gravitational waves from inspiralling compact binaries
• Measuring gravitational waves from binary black hole coalescences: II. the waves' information and its extraction, with and without templates
• Gravitational waves from coalescing binaries: detection strategies and Monte Carlo estimation of parameters
• Gravitational waves from inspiraling compact binaries: Validity of the stationary-phase approximation to the Fourier transform
• Three-dimensional initial data for the collision of two black holes II: Quasi-circular orbits for equal-mass black holes
• Gravitational waves from inspiralling compact binaries: Angular momentum flux, evolution of the orbital elements and the wave form to the second post-Newtonian order
• Filtering post-Newtonian gravitational waves from coalescing binaries
• Estimation of parameters of gravitational waves from coalescing binaries
• Gravitational waves from inspiraling compact binaries: Second post-Newtonian waveforms as search templates
• Performance of Newtonian filters in detecting gravitational waves from coalescing binaries

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