Random template banks and relaxed lattice coverings

Messenger, C.; Prix, R.; Papa, M. A.

doi:10.1103/physrevd.79.104017

Cited by 78 publications

(149 citation statements)

References 38 publications

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“…This enforces the above-mentioned constraint which is not fulfilled by the grids considered in Ref. [22]. Therefore our work can be considered as being complementary to the studies performed in Ref.…”

Section: Introductionsupporting

confidence: 56%

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Banks of templates for directed searches of gravitational waves from spinning neutron stars

2011

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We construct efficient banks of templates suitable for directed searches of almost monochromatic gravitational waves originating from spinning nuetron stars in our Galaxy in data being collected by currently operating interferometric detectors. We thus assume that the position of the gravitationalwave source in the sky is known, but we do not assume that the wave's frequency and its derivatives are a priori known. In the construction we employ simplified model of the signal with constant amplitude and phase which is a polynomial function of time. All our template banks enable usage of the fast Fourier transform algorithm in the computation of the maximum-likelihood F-statistic for nodes of the grids defining the bank. We study and employ the dependence of the grid's construction on the choice of the position of the observational interval with respect to the origin of time axis. We also study the usage of the fast Fourier transform algorithms with non-standard frequency resolutions achieved by zero padding or folding the data. In the case of the gravitational-wave signal with one spindown parameter included we have found grids with covering thicknesses which are only 0.1%-16% larger than the thickness of the optimal two-dimensional hexagonal covering.PACS numbers: 95.55. Ym, 04.80.Nn, 95.75.Pq, 97.60.Gb

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Section: Introductionsupporting

confidence: 56%

“…[22] (see also [23][24][25][26]), where random template banks and relaxed lattice coverings were considered. As explained above we are interested in searches involving data streams so long, that the time performance of the search crucially depends on the ability of using the FFT algorithm.…”

Section: Introductionmentioning

confidence: 99%

Banks of templates for directed searches of gravitational waves from spinning neutron stars

2011

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“…Given MM, we want to construct the template bank optimally: minimize the number of templates while trying to keep the overlap between neighboring templates close to MM. The problem of template placement was attacked in the gravitational wave community by several groups [13][14][15][16]. The last two works also deal with the stochastic placement of the template grid, but use different implementation.…”

Section: S Babakmentioning

confidence: 99%

“…Taking only the central small ellipse as an 'area' of the template in the parameter space will seriously overpopulate the parameter space with templates (even if the placement is nearly optimal as in [16]). Here we are using the global properties of the parameter space by computing overlap.…”

Section: Building a Stochastic Bankmentioning

confidence: 99%

Building a stochastic template bank for detecting massive black hole binaries

Babak

2008

Class. Quantum Grav.

133

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The coalescence of pairs of massive black holes are the strongest and most promising sources for LISA. In fact, the gravitational wave signal from the final inspiral and merger will be detectable throughout the universe. In this paper we describe the first step in a two-step hierarchical search for the gravitational wave signal from inspiraling massive BH binaries. It is based on a method routinely used in ground-based gravitational wave astronomy, namely filtering the data through a bank of templates. However we use a novel, Monte Carlo based (stochastic), method for laying a grid in the parameter space, and we use the likelihood maximized analytically over some parameters, known as the F-statistic, as a detection statistic. We build a coarse template bank to detect gravitational wave signals and to make preliminary parameter estimation. The best candidates will be followed up using a Metropolis-Hasting stochastic search to refine the parameter estimates. We demonstrate the performance of the method by applying it to the Mock LISA data challenge 1B (training data set).

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“…This method is described in [47] and summarized below. Other, similar methods for creating stochastic template banks were proposed in [69] and [70].…”

Section: B Stochastic Template Bankmentioning

confidence: 99%

Template banks to search for compact binaries with spinning components in gravitational wave data

et al. 2009

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Gravitational waves from coalescing compact binaries are one of the most promising sources for detectors such as LIGO, Virgo and GEO600. If the components of the binary posess significant angular momentum (spin), as is likely to be the case if one component is a black hole, spin-induced precession of a binary's orbital plane causes modulation of the gravitational-wave amplitude and phase. If the templates used in a matched-filter search do not accurately model these effects then the sensitivity, and hence the detection rate, will be reduced. We investigate the ability of several search pipelines to detect gravitational waves from compact binaries with spin. We use the postNewtonian approximation to model the inspiral phase of the signal and construct two new template banks using the phenomenological waveforms of Buonanno, Chen and Vallisneri [A. Buonanno, Y. Chen and M. Vallisneri, Phys. Rev. D67, 104025 (2003)]. We compare the performance of these template banks to that of banks constructed using the stationary phase approximation to the nonspinning post-Newtonian inspiral waveform currently used by LIGO and Virgo in the search for compact binary coalescence. We find that, at the same false alarm rate, a search pipeline using phenomenological templates is no more effective than a pipeline which uses non-spinning templates. We recommend the continued use of the non-spinning stationary phase template bank until the false alarm rate associated with templates which include spin effects can be substantially reduced.

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Random template banks and relaxed lattice coverings

Cited by 78 publications

References 38 publications

Banks of templates for directed searches of gravitational waves from spinning neutron stars

Banks of templates for directed searches of gravitational waves from spinning neutron stars

Building a stochastic template bank for detecting massive black hole binaries

Template banks to search for compact binaries with spinning components in gravitational wave data

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