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    Dictionary Learning: A Novel Approach to Detecting Binary Black Holes in the Presence of Galactic Noise with LISA

    Charles Badger1, Katarina Martinovic1, Alejandro Torres-Forné2,3, Mairi Sakellariadou1, and José A. Font2,3

    • 1Theoretical Particle Physics and Cosmology Group, Physics Department, King’s College London, University of London, Strand, London WC2R 2LS, United Kingdom
    • 2Departamento de Astronomía y Astrofísica, Universitat de València, Dr. Moliner 50, 46100 Burjassot (València), Spain
    • 3Observatori Astronòmic, Universitat de València, Catedrático José Beltrán 2, 46980 Paterna (València), Spain

    Phys. Rev. Lett. 130, 091401 – Published 27 February, 2023

    DOI: https://doi.org/10.1103/PhysRevLett.130.091401

    Abstract

    The noise produced by the inspiral of millions of white dwarf binaries in the Milky Way may pose a threat to one of the main goals of the space-based LISA mission: the detection of massive black hole binary mergers. We present a novel study for reconstruction of merger waveforms in the presence of Galactic confusion noise using dictionary learning. We discuss the limitations of untangling signals from binaries with total mass from 102  M⊙ to 104  M⊙. Our method proves extremely successful for binaries with total mass greater than ∼3×103  M⊙ up to redshift 3 in conservative scenarios, and up to redshift 7.5 in optimistic scenarios. In addition, consistently good waveform reconstruction of merger events is found if the signal-to-noise ratio is approximately 5 or greater.

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