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2026ApJ...998..183O - Astrophys. J., 998, 183 (2026/February-2)

Discovering Pulsars in Compact Binaries with a Hidden Markov Model.

O'LEARY J., DUNN L. and MELATOS A.

Abstract (from CDS):

Discovering radio pulsars in compact binaries, whose orbital periods Pb satisfy Pb ≲ 1 day, is computationally challenging, because the time-dependent pulse frequency fp(t) is strongly Doppler modulated by the binary motion. Here we present a new, fast, semi-coherent detection scheme based on a hidden Markov model (HMM) combined with a maximum-likelihood matched filter, the Schuster periodogram. The HMM scheme complements traditional acceleration searches by dividing fp(t) into piecewise-constant blocks and tracking the block-to-block evolution efficiently using dynamic programming. Monte Carlo simulations show that the new method can detect compact binaries with flux densities S ≥ 0.50 mJy and orbital periods Pb ≥ 0.012 day under observing conditions (e.g., cadence) typical of radio pulsar surveys, with and without impulsive, narrowband radio-frequency interference. The new method is fast; it employs the classic Viterbi algorithm to solve the HMM recursively. The central processing unit runtime scales nominally as ${T}_{{\rm{run}}}\approx 2.8\,{N}_{B}({N}_{T}/1{0}^{2})({N}_{Q}\mathrm{ln}{N}_{Q}/1{0}^{4}\mathrm{ln}1{0}^{4})\,{\rm{s}}$ for NB subbands, NT coherent segments, and NQ frequency bins.

Abstract Copyright: © 2026. The Author(s). Published by the American Astronomical Society.

Journal keyword(s): Rotation powered pulsars - Binary pulsars - Radio pulsars

Simbad objects: 7

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