The Orthogonal Hilbert-Huang Transform and Its Application in Earthquake Motion Recordings Analysis

Abstract eng:
Based on the numerical simulation, the problem that the intrinsic mode functions (IMFs) decomposed by the empirical mode decomposition (EMD) in Hilbert-Huang transform (HHT) are not exactly orthogonal is presented. A new method based on the Gram-Schmidt orthogonalization method referred as the orthogonal empirical mode decomposition (OEMD) is proposed and the complete orthogonal intrinsic mode functions (OIMFs) are attained. The method is validated through the decomposition of a typical time history and demonstrated through the El Centro earthquake recording. The comparison between the Hilbert spectrum, the Hilbert marginal spectrum and the orthogonal Hilbert spectrum, the orthogonal Hilbert marginal spectrum of the El Centro earthquake recording showed that the latter can more faithfully and quantitatively characterize the signal energy distribution at different frequency components.

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