Hidden Markov model tracking of continuous gravitational waves from a binary neutron star with wandering spin. II. Binary orbital phase tracking

S. Suvorova, P. Clearwater, A. Melatos, L. Sun, W. Moran, and R. J. Evans
Phys. Rev. D 96, 102006 – Published 21 November 2017

Abstract

A hidden Markov model (HMM) scheme for tracking continuous-wave gravitational radiation from neutron stars in low-mass x-ray binaries (LMXBs) with wandering spin is extended by introducing a frequency-domain matched filter, called the J-statistic, which sums the signal power in orbital sidebands coherently. The J-statistic is similar but not identical to the binary-modulated F-statistic computed by demodulation or resampling. By injecting synthetic LMXB signals into Gaussian noise characteristic of the Advanced Laser Interferometer Gravitational-wave Observatory (Advanced LIGO), it is shown that the J-statistic HMM tracker detects signals with characteristic wave strain h02×1026 in 370 d of data from two interferometers, divided into 37 coherent blocks of equal length. When applied to data from Stage I of the Scorpius X-1 Mock Data Challenge organized by the LIGO Scientific Collaboration, the tracker detects all 50 closed injections (h06.84×1026), recovering the frequency with a root-mean-square accuracy of 1.95×105Hz. Of the 50 injections, 43 (with h01.09×1025) are detected in a single, coherent 10 d block of data. The tracker employs an efficient, recursive HMM solver based on the Viterbi algorithm, which requires 105 CPU-hours for a typical broadband (0.5 kHz) LMXB search.

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  • Received 12 May 2017

DOI:https://doi.org/10.1103/PhysRevD.96.102006

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

S. Suvorova1,2,3, P. Clearwater2,3,4,*, A. Melatos2,3,†, L. Sun2,3,‡, W. Moran1, and R. J. Evans3,5

  • 1School of Electrical and Computer Engineering, RMIT University, Melbourne, Victoria 3000, Australia
  • 2School of Physics, University of Melbourne, Parkville, Victoria 3010, Australia
  • 3Australian Research Council Centre of Excellence for Gravitational Wave Discovery (OzGrav), University of Melbourne node, Parkville, Victoria 3010, Australia
  • 4Data61, Commonwealth Scientific and Industrial Research Organisation, Corner Vimiera and Pembroke Roads, Marsfield, NSW 2122, Australia
  • 5Department of Electrical and Electronic Engineering, University of Melbourne, Parkville, Victoria 3010, Australia

  • *p.clearwater@student.unimelb.edu.au; patrick.clearwater@data61.csiro.au
  • amelatos@unimelb.edu.au
  • lings2@student.unimelb.edu.au

See Also

Hidden Markov model tracking of continuous gravitational waves from a neutron star with wandering spin

S. Suvorova, L. Sun, A. Melatos, W. Moran, and R. J. Evans
Phys. Rev. D 93, 123009 (2016)

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Vol. 96, Iss. 10 — 15 November 2017

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