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  Resolving multiple supermassive black hole binaries with pulsar timing arrays II: genetic algorithm implementation

Petiteau, A., Babak, S., Sesana, A., & de Araujo, M. (2013). Resolving multiple supermassive black hole binaries with pulsar timing arrays II: genetic algorithm implementation. Physical Review D, 87: 064036. doi:10.1103/PhysRevD.87.064036.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-1927-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-1928-C
Genre: Journal Article

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 Creators:
Petiteau, Antoine1, Author              
Babak, Stanislav1, Author              
Sesana, Alberto1, Author              
de Araujo, Mariana, Author
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24013              

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Free keywords: Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO
 Abstract: Pulsar timing arrays (PTAs) might detect gravitational waves (GWs) from massive black hole (MBH) binaries within this decade. The signal is expected to be an incoherent superposition of several nearly-monochromatic waves of different strength. The brightest sources might be individually resolved, and the overall deconvolved, at least partially, in its individual components. In this paper we extend the maximum-likelihood based method developed in Babak & Sesana 2012, to search for individual MBH binaries in PTA data. We model the signal as a collection of circular monochromatic binaries, each characterized by three free parameters: two angles defining the sky location, and the frequency. We marginalize over all other source parameters and we apply an efficient multi-search genetic algorithm to maximize the likelihood function and look for sources in synthetic datasets. On datasets characterized by white Gaussian noise plus few injected sources with signal-to-noise ratio (SNR) in the range 10-60, our search algorithm performs well, recovering all the injections with no false positives. Individual source SNRs are estimated within few % of the injected values, sky locations are recovered within few degrees, and frequencies are determined with sub-Fourier bin precision.

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 Dates: 2012-10-082013
 Publication Status: Published in print
 Pages: 12 pages, 4 figures, 1 table; submitted to Physical Review D
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1210.2396
DOI: 10.1103/PhysRevD.87.064036
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 87 Sequence Number: 064036 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258