A Generalized Demodulation and Hilbert Transform Based Signal Decomposition Method

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...

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Bibliographic Details
Main Authors: Zhi-Xiang Hu, Wei-Xin Ren, Zuo-Cai Wang, Yue-Ling Jing, Xia Yang
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2017/7286946
Description
Summary: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.
ISSN:1070-9622
1875-9203