2017
DOI: 10.1103/physrevd.96.102006
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Hidden Markov model tracking of continuous gravitational waves from a binary neutron star with wandering spin. II. Binary orbital phase tracking

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 Advan… Show more

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Cited by 55 publications
(174 citation statements)
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“…where a 0 is the BH's projected semimajor axis, P is the orbital period, and c is the speed of light [77]. Frequencydomain matched filters, like those presented in [77,113], can be applied to sum up the distributed signal power using (imperfect) knowledge of the orbital parameters. Those methods would generally demand B 0.5 Hz in order to achieve the required sensitivity (see Sec.…”
Section: X-ray Binariesmentioning
confidence: 99%
“…where a 0 is the BH's projected semimajor axis, P is the orbital period, and c is the speed of light [77]. Frequencydomain matched filters, like those presented in [77,113], can be applied to sum up the distributed signal power using (imperfect) knowledge of the orbital parameters. Those methods would generally demand B 0.5 Hz in order to achieve the required sensitivity (see Sec.…”
Section: X-ray Binariesmentioning
confidence: 99%
“…The coherence time issue leads into future work for data analysis: Accretion and glitches can also introduce issues which encourage development of alternatives to the straightforward coherent integrations considered here. Adaptations of semi-coherent techniques developed for other searches [54][55][56][57] could be fruitful for r-modes from known pulsars too. For those pulsars with a known inclination angle, upgrading from the F-statistic to the G-statistic will also improve sensitivity.…”
Section: Discussionmentioning
confidence: 99%
“…An analytic approximation of the true PDF is discussed in Ref. [46]. The search cost increases approximately ∝ N T for both methods.…”
Section: B Path Probability Distribution Versus Snrmentioning
confidence: 99%