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Relative Binning and Fast Likelihood Evaluation for Gravitational Wave Parameter Estimation

Jun 22, 2018

4 pages

e-Print:

1806.08792 [astro-ph.IM]

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Abstract: (arXiv)

We present a method to accelerate the evaluation of the likelihood in gravitational wave parameter estimation. Parameter estimation codes compute likelihoods of similar waveforms, whose phases and amplitudes differ smoothly with frequency. We exploit this by precomputing frequency-binned overlaps of the best-fit waveform with the data. We show how these summary data can be used to approximate the likelihood of any waveform that is sufficiently probable within the required accuracy. We demonstrate that

\simeq 60

bins suffice to accurately compute likelihoods for strain data at a sampling rate of

4096\,

Hz and duration of

T=2048\,

s around the binary neutron star merger GW170817. Relative binning speeds up parameter estimation for frequency domain waveform models by a factor of

\sim 10^4

compared to naive matched filtering and

\sim 10

compared to reduced order quadrature.

Note:

4 pages, 2 figures, 1 table. Application of Relative Binning to GW170817 is presented in a companion paper arXiv 1806.08793 . Comments are welcome. Some references and acknowledgements added

neutron star: binary
gravitational radiation
gravitational radiation detector
gravitational radiation: emission
gravitational radiation: direct detection
data analysis method
numerical methods
numerical calculations

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Figures(2)

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