Method of a search for gravitational waves using Hilbert-Haung transform

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The Hilbert-Huang transform (HHT) is a novel, adaptive approach to time series analysis. It does not impose a basis set on the data or otherwise make assumptions about the data form, and so the time-frequency decomposition is not limited by spreading due to uncertainty. Because of the high resolution of the time-frequency, we investigated the possibility of the application of the HHT to the search for gravitational waves. It was necessary to determine some parameters in the empirical mode decomposition (EMD), which is a component of the HHT, and in this research we proposed and demonstrated a method to determine the optimal values of the parameters to use in the search for gravitational waves. As the results, we concluded that HHT was an effective method to search for gravitational waves.