Global parameter-space correlations of coherent searches for continuous gravitational waves

Abstract

The space of phase-parameters (sky-position, frequency, spindowns) of a coherent matched-filtering search for continuous gravitational waves from isolated neutron stars shows strong global correlations (``circles in the sky''). In the local limit this can be analysed in terms of a parameter-space metric, but the global properties are less well studied. In this work we report on our recent progress in understanding these global correlations analytically for short to intermediate (less than a month, say) observation times and neglecting spindowns. The location of these correlation-circles in parameter-space is found to be determined mostly by the orbital velocity of the earth, while the spin-motion of the detector and the antenna-patterns only contribute significantly to the amplitude of the detection statistic along these circles.

10 pages, 6 figures; contribution to GWDAW9, submitted to CQG

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• The search for continuous gravitational waves: metric of the multi-detector F-statistic
• First all-sky upper limits from LIGO on the strength of periodic gravitational waves using the Hough transform
• Searches for continuous gravitational waves from neutron stars: A twenty-year retrospective
• Narrowband searches for continuous and long-duration transient gravitational waves from known pulsars in the LIGO-Virgo third observing run
• Exploiting Large-Scale Correlations to Detect Continuous Gravitational Waves
• Search methods for continuous gravitational-wave signals from unknown sources in the advanced-detector era
• Parameter-space metric of semicoherent searches for continuous gravitational waves
• Statistical characterization of pulsar glitches and their potential impact on searches for continuous gravitational waves
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• F-statistic search for white-dwarf binaries in the first Mock LISA Data Challenge
• Implementing a semicoherent search for continuous gravitational waves using optimally-constructed template banks
• Application of a hierarchical MCMC follow-up to Advanced LIGO continuous gravitational-wave candidates
• Sliding coherence window technique for hierarchical detection of continuous gravitational waves
• An implementation of Galactic white dwarf binary data analysis for MLDC-3.1
• Time-frequency track distance for comparing continuous gravitational wave signals
• Validating continuous gravitational-wave candidates from a semicoherent search using Doppler modulation and an effective point spread function
• Scalable data-analysis framework for long-duration gravitational waves from compact binaries using short Fourier transforms
• An investigation of uniform expansions of large order Bessel functions in Gravitational Wave Signals from Pulsars
• Assessing the similarity of continuous gravitational-wave signals to narrow instrumental artifacts
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