Template Bank for Compact Binary Coalescence Searches in Gravitational Wave Data: A General Geometric Placement Algorithm. (arXiv:1904.01683v1 [astro-ph.IM])
<a href="http://arxiv.org/find/astro-ph/1/au:+Roulet_J/0/1/0/all/0/1">Javier Roulet</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Dai_L/0/1/0/all/0/1">Liang Dai</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Venumadhav_T/0/1/0/all/0/1">Tejaswi Venumadhav</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Zackay_B/0/1/0/all/0/1">Barak Zackay</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Zaldarriaga_M/0/1/0/all/0/1">Matias Zaldarriaga</a>
We introduce an algorithm for placing template waveforms for the search of
compact binary mergers in gravitational wave interferometer data. We exploit
the smooth dependence of the amplitude and unwrapped phase of the
frequency-domain waveform on the parameters of the binary. We group waveforms
with similar amplitude profiles and perform a singular value decomposition of
the phase profiles to obtain an orthonormal basis for the phase functions. The
leading basis functions span a lower-dimensional linear space in which the
unwrapped phase of any physical waveform is well approximated. The optimal
template placement is given by a regular grid in the space of linear
coefficients. The algorithm is applicable to any frequency-domain waveform
model and detector sensitivity curve. It is computationally efficient and
requires little tuning. Applying this method, we construct a set of template
banks suitable for the search of aligned-spin binary neutron star,
neutron-star–black-hole and binary black hole mergers in LIGO–Virgo data.
We introduce an algorithm for placing template waveforms for the search of
compact binary mergers in gravitational wave interferometer data. We exploit
the smooth dependence of the amplitude and unwrapped phase of the
frequency-domain waveform on the parameters of the binary. We group waveforms
with similar amplitude profiles and perform a singular value decomposition of
the phase profiles to obtain an orthonormal basis for the phase functions. The
leading basis functions span a lower-dimensional linear space in which the
unwrapped phase of any physical waveform is well approximated. The optimal
template placement is given by a regular grid in the space of linear
coefficients. The algorithm is applicable to any frequency-domain waveform
model and detector sensitivity curve. It is computationally efficient and
requires little tuning. Applying this method, we construct a set of template
banks suitable for the search of aligned-spin binary neutron star,
neutron-star–black-hole and binary black hole mergers in LIGO–Virgo data.
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