Method to detect gravitational waves from an ensemble of known pulsars

Abstract

Combining information from weak sources, such as known pulsars, for gravitational wave detection, is an attractive approach to improve detection efficiency. We propose an optimal statistic for a general ensemble of signals and apply it to an ensemble of known pulsars. Our method combines $\mathcal{F}$-statistic values from individual pulsars using weights proportional to each pulsar's expected optimal signal-to-noise ratio to improve the detection efficiency. We also point out that to detect at least one pulsar within an ensemble, different thresholds should be designed for each source based on the expected signal strength. The performance of our proposed detection statistic is demonstrated using simulated sources, with the assumption that all pulsars' ellipticities belong to a common (yet unknown) distribution. Comparing with an equal-weight strategy and with individual source approaches, we show that the weighted-combination of all known pulsars, where weights are assigned based on the pulsars' known information, such as sky location, frequency and distance, as well as the detector sensitivity, always provides a more sensitive detection statistic.

arXiv commentPRD accepted version

References in corpus (15)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Advanced LIGO
• Characterization of the LIGO detectors during their sixth science run
• Interferometer design of the KAGRA gravitational wave detector
• Data analysis of gravitational-wave signals from spinning neutron stars. I. The signal and its detection
• Detecting gravitational-wave memory with LIGO: implications of GW150914
• Gravitational waves from known pulsars: results from the initial detector era
• The generalized F-statistic: multiple detectors and multiple GW pulsars
• Searches for gravitational waves from known pulsars with S5 LIGO data
• Bayesian estimation of pulsar parameters from gravitational wave data
• Targeted search for continuous gravitational waves: Bayesian versus maximum-likelihood statistics
• Implementation of an F-statistic all-sky search for continuous gravitational waves in Virgo VSR1 data
• Measuring neutron-star ellipticity with measurements of the stochastic gravitational-wave background
• Prospects of observing continuous gravitational waves from known pulsars
• New Coordinates for the Amplitude Parameter Space of Continuous Gravitational Waves

Cited by in corpus (6)

• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• Probing Dynamical Gravity with the Polarization of Continuous Gravitational Waves
• The optimal search for an astrophysical gravitational-wave background
• Stochastic gravitational-wave background searches and constraints on neutron-star ellipticity
• Hierarchical Bayesian method for detecting continuous gravitational waves from an ensemble of pulsars
• Search for gravitational wave signals from known pulsars in LIGO-Virgo O3 data using the 5n-vector ensemble method