Detection methods for non-Gaussian gravitational wave stochastic backgrounds

Abstract

We address the issue of finding an optimal detection method for a discontinuous or intermittent gravitational wave stochastic background. Such a signal might sound something like popcorn popping. We derive an appropriate version of the maximum likelihood detection statistic, and compare its performance to that of the standard cross-correlation statistic both analytically and with Monte Carlo simulations. The maximum likelihood statistic performs better than the cross-correlation statistic when the background is sufficiently non-Gaussian. For both ground and space based detectors, this results in a gain factor, ranging roughly from 1 to 3, in the minimum gravitational-wave energy density necessary for detection, depending on the duty cycle of the background. Our analysis is exploratory, as we assume that the time structure of the events cannot be resolved, and we assume white, Gaussian noise in two collocated, aligned detectors. Before this detection method can be used in practice with real detector data, further work is required to generalize our analysis to accommodate separated, misaligned detectors with realistic, colored, non-Gaussian noise.

25 pages, 12 figures, submitted to physical review D, added revisions in response to reviewers comments

References in corpus (13)

• Gravitational Radiation from First-Order Phase Transitions
• Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities
• Detection, Measurement and Gravitational Radiation
• Gravitational wave bursts from cusps and kinks on cosmic strings
• Relativistic simulations of rotational core collapse. II. Collapse dynamics and gravitational radiation
• The Sensitivity of Ligo to a Stochastic Background, and its Dependance on the Detector Orientations
• An excess power statistic for detection of burst sources of gravitational radiation
• Gravitational waves from cosmological compact binaries
• Stochastic background of gravitational waves generated by a cosmological population of young, rapidly rotating neutron stars
• Gravitational Wave Background from a Cosmological Population of Core-Collapse Supernovae
• Gravitational Waves Signals from the Collapse of the First Stars
• Robust statistics for deterministic and stochastic gravitational waves in non-Gaussian noise I: Frequentist analyses
• Scales of the Extra Dimensions and their Gravitational Wave Backgrounds

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