Comparison of signals from gravitational wave detectors with instantaneous time–frequency maps

DOI10.1088/0264-9381/28/15/155001zbMATH Open1222.83057arXiv1105.4866OpenAlexW3101423643MaRDI QIDQ3091904

Author name not available (Why is that?)

Publication date: 14 September 2011

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: Gravitational wave astronomy relies on the use of multiple detectors, so that coincident detections may distinguish real signals from instrumental artifacts, and also so that relative timing of signals can provide the sky position of sources. We show that the comparison of instantaneous time-frequency and time- amplitude maps provided by the Hilbert-Huang Transform (HHT) can be used effectively for relative signal timing of common signals, to discriminate between the case of identical coincident signals and random noise coincidences, and to provide a classification of signals based on their time-frequency trajectories. The comparison is done with a chi-square goodness-of-fit method which includes contributions from both the instantaneous amplitude and frequency components of the HHT to match two signals in the time domain. This approach naturally allows the analysis of waveforms with strong frequency modulation.

Full work available at URL: https://arxiv.org/abs/1105.4866

Mathematics Subject Classification ID

Observational and experimental questions in relativity and gravitational theory (83B05) Gravitational waves (83C35) Radiative transfer in astronomy and astrophysics (85A25) Statistical astronomy (85A35)