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Estimating the angular power spectrum of the gravitational-wave background in the presence of shot noise

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arxiv 1907.06642 v2 pith:LP4IMOOB submitted 2019-07-15 astro-ph.CO astro-ph.IMgr-qc

classification astro-ph.COastro-ph.IMgr-qc
keywords backgroundnoiseshotspectrumangularanisotropiesastrophysicaldata
verification ladder T0 review T1 audit T2 compute T3 formal
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There has been much recent interest in studying anisotropies in the astrophysical gravitational-wave (GW) background, as these could provide us with interesting new information about galaxy clustering and large-scale structure. However, this information is obscured by shot noise, caused by the finite number of GW sources that contribute to the background at any given time. We develop a new method for estimating the angular spectrum of anisotropies, based on the principle of combining statistically-independent data segments. We show that this gives an unbiased estimate of the true, astrophysical spectrum, removing the offset due to shot noise power, and that in the limit of many data segments, it is the most efficient (i.e. lowest-variance) estimator possible.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. All You Need is not $\Omega_\mathrm{gw}$: Beyond the Mean of the Cross-Correlation Estimator when Searching for an Astrophysical Gravitational-Wave Background

    gr-qc 2026-08 conditional novelty 6.0 of 10

    For a two-detector Cosmic Explorer network, the cross-correlation estimator of the binary black hole background has skewness 0.31 and excess kurtosis 1.3 at 20 Hz, a non-Gaussianity that will matter for next-generatio...

  2. Directional Search for Persistent Gravitational Waves: Results from the First Part of LIGO-Virgo-KAGRA's Fourth Observing Run

    gr-qc 2025-10 conditional novelty 6.0 of 10

    An 8.3-year LIGO–Virgo–KAGRA search for persistent, direction-dependent gravitational waves finds no signal and yields the most restrictive upper limits to date on anisotropic backgrounds and targeted sources.

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