Resampling to accelerate cross-correlation searches for continuous gravitational waves from binary systems

Grant David Meadors, Badri Krishnan, Maria Alessandra Papa, John T. Whelan, and Yuanhao Zhang
Phys. Rev. D 97, 044017 – Published 12 February 2018

Abstract

Continuous-wave (CW) gravitational waves (GWs) call for computationally-intensive methods. Low signal-to-noise ratio signals need templated searches with long coherent integration times and thus fine parameter-space resolution. Longer integration increases sensitivity. Low-mass x-ray binaries (LMXBs) such as Scorpius X-1 (Sco X-1) may emit accretion-driven CWs at strains reachable by current ground-based observatories. Binary orbital parameters induce phase modulation. This paper describes how resampling corrects binary and detector motion, yielding source-frame time series used for cross-correlation. Compared to the previous, detector-frame, templated cross-correlation method, used for Sco X-1 on data from the first Advanced LIGO observing run (O1), resampling is about 20× faster in the costliest, most-sensitive frequency bands. Speed-up factors depend on integration time and search setup. The speed could be reinvested into longer integration with a forecast sensitivity gain, 20 to 125 Hz median, of approximately 51%, or from 20 to 250 Hz, 11%, given the same per-band cost and setup. This paper’s timing model enables future setup optimization. Resampling scales well with longer integration, and at 10× unoptimized cost could reach respectively 2.83× and 2.75× median sensitivities, limited by spin-wandering. Then an O1 search could yield a marginalized-polarization upper limit reaching torque-balance at 100 Hz. Frequencies from 40 to 140 Hz might be probed in equal observing time with 2× improved detectors.

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  • Received 18 December 2017

DOI:https://doi.org/10.1103/PhysRevD.97.044017

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Grant David Meadors1,2,*, Badri Krishnan1, Maria Alessandra Papa1,2,3, John T. Whelan4, and Yuanhao Zhang4,1,2

  • 1Albert-Einstein-Institut, Max-Planck-Institut für Gravitationsphysik, D-14476 Potsdam-Golm, Germany
  • 2Albert-Einstein-Institut, Max-Planck-Institut für Gravitationsphysik, D-30167 Hannover, Germany
  • 3University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201, USA
  • 4Rochester Institute of Technology, Rochester, New York 14623, USA

  • *grant.meadors@ligo.org

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Issue

Vol. 97, Iss. 4 — 15 February 2018

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