Aperture synthesis for gravitational-wave data analysis: Deterministic Sources

Abstract

Gravitational wave detectors now under construction are sensitive to the phase of the incident gravitational waves. Correspondingly, the signals from the different detectors can be combined, in the analysis, to simulate a single detector of greater amplitude and directional sensitivity: in short, aperture synthesis. Here we consider the problem of aperture synthesis in the special case of a search for a source whose waveform is known in detail: \textit{e.g.,} compact binary inspiral. We derive the likelihood function for joint output of several detectors as a function of the parameters that describe the signal and find the optimal matched filter for the detection of the known signal. Our results allow for the presence of noise that is correlated between the several detectors. While their derivation is specialized to the case of Gaussian noise we show that the results obtained are, in fact, appropriate in a well-defined, information-theoretic sense even when the noise is non-Gaussian in character. The analysis described here stands in distinction to ``coincidence analyses'', wherein the data from each of several detectors is studied in isolation to produce a list of candidate events, which are then compared to search for coincidences that might indicate common origin in a gravitational wave signal. We compare these two analyses --- optimal filtering and coincidence --- in a series of numerical examples, showing that the optimal filtering analysis always yields a greater detection efficiency for given false alarm rate, even when the detector noise is strongly non-Gaussian.

39 pages, 4 figures, submitted to Phys. Rev. D

References in corpus (1)

• Detection of gravitational waves from inspiraling compact binaries using a network of interferometric detectors

Cited by in corpus (54)

• Physics, Astrophysics and Cosmology with Gravitational Waves
• Networks of gravitational wave detectors and three figures of merit
• The LISA Optimal Sensitivity
• Analysis of LIGO data for gravitational waves from binary neutron stars
• Constraint Likelihood analysis for a network of gravitational wave detectors
• Time-Delay Interferometry
• The generalized F-statistic: multiple detectors and multiple GW pulsars
• Searching for Gravitational Waves from Compact Binaries with Precessing Spins
• The Science Case for LIGO-India
• Gravitational-Wave Data Analysis. Formalism and Sample Applications: The Gaussian Case
• Coherent Network Detection of Gravitational Waves: The Redundancy Veto
• Measuring the viewing angle of GW170817 with electromagnetic and gravitational waves
• Detecting eccentric supermassive black hole binaries with pulsar timing arrays: Resolvable source strategies
• Measuring the eccentricity of GW170817 and GW190425
• Modeling ringdown II: non-precessing binary black holes
• A geometric algorithm for efficient coincident detection of gravitational waves
• Optimal detection of burst events in gravitational wave interferometric observatories
• Variability of signal to noise ratio and the network analysis of gravitational wave burst signals
• Performance of an externally triggered gravitational-wave burst search
• Coincidence and coherent data analysis methods for gravitational wave bursts in a network of interferometric detectors
• Fusing numerical relativity and deep learning to detect higher-order multipole waveforms from eccentric binary black hole mergers
• A coherent method for the detection and estimation of continuous gravitational wave signals using a pulsar timing array
• Detection of a close supernova gravitational wave burst in a network of interferometers, neutrino and optical detectors
• Mock data study for next-generation ground-based detectors: The performance loss of matched filtering due to correlated confusion noise
• Generalized Approach to Matched Filtering using Neural Networks
• Gravitational Waves from Extragalactic Inspiraling Binaries: Selection Effects and Expected Detection Rates
• Observation of eccentric binary black hole mergers with second and third generation gravitational wave detector networks
• Eccentric Binary Neutron Star Search Prospects for Cosmic Explorer
• Detection in coincidence of gravitational wave bursts with a network of interferometric detectors (I): Geometric acceptance and timing
• Optimal generalization of power filters for gravitational wave bursts, from single to multiple detectors
• A fully-coherent all-sky search for gravitational-waves from compact binary coalescences
• Best network chirplet-chain: Near-optimal coherent detection of unmodeled gravitation wave chirps with a network of detectors
• Detecting gravitational waves from inspiraling binaries with a network of detectors : coherent versus coincident strategies
• Constraining $\Lambda$CDM cosmological parameters with Einstein Telescope mock data
• Sliding coherence window technique for hierarchical detection of continuous gravitational waves
• Network sensitivity to geographical configuration
• Computational cost for detecting inspiraling binaries using a network of laser interferometric detectors
• A Rømer time-delay determination of the gravitational-wave propagation speed
• Forecasting Gamma-Ray Bursts using Gravitational Waves
• The multi-detector F-statistic metric for short-duration non-precessing inspiral gravitational-wave signals
• Detecting gravitational waves from inspiraling binaries with a network of detectors : coherent strategies by correlated detectors
• Plans for the LIGO-TAMA Joint Search for Gravitational Wave Bursts
• Detecting gravitational waves from inspiraling binaries with a network of geographically separated detectors: coherent versus coincident strategies
• Reconstruction of binary black hole harmonics in LIGO using deep learning
• Application of the Probability Event Horizon filter to constrain the local rate density of binary black hole inspirals with Advanced LIGO
• Interferometer Euro-Asian Network: Detection Characteristics for Signals of Known Shape
• Synthetic streams in a Gravitational Wave inspiral search with a multi-detector network
• Revealing the nature of long-period transients with space-based gravitational-wave interferometers
• Power filters for gravitational wave bursts: network operation for source position estimation
• Coherent versus coincidence detection of gravitational wave signals from compact inspiraling binaries
• Machine Learning Confirms GW231123 is a "Lite" Intermediate Mass Black Hole Merger
• Reducing systematic uncertainties in gravitational-wave population analyses by increasing the detection threshold
• Statistical Analyses for NANOGrav 5-year Timing Residuals
• Identifying Host Galaxies of Binary Black Hole Mergers with Next-Generation Gravitational Wave Detector Networks