Data Analysis of Gravitational Waves Using A Network of Detectors
Linqing Wen (MPI/AEI)
TL;DR
This paper introduces SVD-based techniques for analyzing gravitational wave data from multiple detectors, improving detection, waveform reconstruction, null-stream creation, and source localization.
Contribution
It presents novel SVD-based methods tailored for combining data from diverse gravitational wave detectors for various analysis tasks.
Findings
Enhanced detection statistics using SVD
Stable waveform solutions achieved
Effective null-stream construction for multiple detectors
Abstract
Several large-scale gravitational wave (GW) interferometers have achieved long term operation at design sensitivity. Questions arise on how to best combine all available data from detectors of different sensitivities for detection, consistency check or veto, localization and waveform extraction. We show that these problems can be formulated using the singular value decomposition (SVD) method. We present techniques based on the SVD method for (1) detection statistic, (2) stable solutions to waveforms, (3) null-stream construction for an arbitrary number of detectors, and (4) source localization for GWs of unknown waveforms.
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