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Shock and Vibration
Volume 2017 (2017), Article ID 7286946, 12 pages
https://doi.org/10.1155/2017/7286946
Research Article

A Generalized Demodulation and Hilbert Transform Based Signal Decomposition Method

Department of Civil Engineering, Hefei University of Technology, Hefei, Anhui Province 23009, China

Correspondence should be addressed to Wei-Xin Ren

Received 9 January 2017; Revised 16 March 2017; Accepted 10 April 2017; Published 31 May 2017

Academic Editor: Pedro Galvín

Copyright © 2017 Zhi-Xiang Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper proposes a new signal decomposition method that aims to decompose a multicomponent signal into monocomponent signal. The main procedure is to extract the components with frequencies higher than a given bisecting frequency by three steps: (1) the generalized demodulation is used to project the components with lower frequencies onto negative frequency domain, (2) the Hilbert transform is performed to eliminate the negative frequency components, and (3) the inverse generalized demodulation is used to obtain the signal which contains components with higher frequencies only. By running the procedure recursively, all monocomponent signals can be extracted efficiently. A comprehensive derivation of the decomposition method is provided. The validity of the proposed method has been demonstrated by extensive numerical analysis. The proposed method is also applied to decompose the dynamic strain signal of a cable-stayed bridge and the echolocation signal of a bat.