A self-contained formalism for the WDM time-frequency basis in gravitational-wave analysis, including transforms, localization, edge effects, and the time-frequency noise likelihood.
An efficient Matched Filtering Algorithm for the Detection of Continuous Gravitational Wave Signals
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abstract
We describe an efficient method of matched filtering over long (greater than 1 day) time baselines starting from Fourier transforms of short durations (roughly 30 minutes) of the data stream. This method plays a crucial role in the search algorithm developed by Schutz and Papa for the detection of continuous gravitational waves from pulsars. Also, we discuss the computational cost--saving approximations used in this method, and the resultant performance of the search algorithm.
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2026 1verdicts
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The WDM Time-Frequency Transform in Gravitational-Wave Data Analysis I: Formalism
A self-contained formalism for the WDM time-frequency basis in gravitational-wave analysis, including transforms, localization, edge effects, and the time-frequency noise likelihood.