A faster implementation of the hierarchical search algorithm for detection of gravitational waves from inspiraling compact binaries

Abstract

The first scientific runs of kilometer scale laser interferometric detectors like LIGO are underway. Data from these detectors will be used to look for signatures of gravitational waves (GW) from astrophysical objects like inspiraling neutron star/blackhole binaries using matched filtering. The computational resources required for online flat-search implementation of the matched filtering are large if searches are carried out for small total mass. In this paper we report an improved implementation of the hierarchical search, wherein we extend the domain of hierarchy to an extra dimension - namely the time of arrival of the signal in the bandwidth of the interferometer. This is accomplished by lowering the Nyquist sampling rate of the signal in the trigger stage. We show that this leads to further improvement in the efficiency of data analysis and speeds up the online computation by a factor of $\sim 65-70$ over the flat search. We also take into account and discuss issues related to template placement, trigger thresholds and other peculiar problems that do not arise in earlier implementation schemes of the hierarchical search. We present simulation results for 2PN waveforms embedded in the noise expected for initial LIGO detectors.

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References in corpus (10)

• Gravitational-Radiation Damping of Compact Binary Systems to Second Post-Newtonian order
• Search templates for gravitational waves from inspiraling binaries: Choice of template spacing
• Searching for periodic sources with LIGO
• Observational Limit on Gravitational Waves from Binary Neutron Stars in the Galaxy
• Hierarchical search strategy for the detection of gravitational waves from coalescing binaries: Extension to post-Newtonian wave forms
• Gravitational Radiation -- A New Window Onto the Universe
• Detection of variable frequency signals using a fast chirp transform
• Computational Resources to Filter Gravitational Wave Data with P-approximant Templates
• Extended hierarchical search (EHS) algorithm for detection of gravitational waves from inspiraling compact binaries
• Optimum Placement of Post-1PN GW Chirp Templates Made Simple at any Match Level via Tanaka-Tagoshi Coordinates

Cited by in corpus (12)

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• Particle Swarm Optimization and gravitational wave data analysis: Performance on a binary inspiral testbed
• Improving the efficiency of the detection of gravitational wave signals from inspiraling compact binaries: Chebyshev interpolation
• Variable placement of templates technique in a 2D parameter space for binary inspiral searches
• A stochastic template bank for gravitational wave searches for precessing neutron-star--black-hole coalescence events
• Hierarchical search strategy for the efficient detection of gravitational waves from non-precessing coalescing compact binaries with aligned-spins
• Reducing the number of templates for aligned-spin compact binary coalescence gravitational wave searches using metric-agnostic template nudging
• Obtaining Statistical Significance of Gravitational Wave Signals in Hierarchical Search
• Boosting the Efficiency of Parametric Detection with Hierarchical Neural Networks
• Deep Learning Techniques to make Gravitational Wave Detections from Weak Time-Series Data