A Generalized Demodulation and Hilbert Transform Based Signal Decomposition Method

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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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
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spelling doaj-8ecee2c9d8494c899e56577953f4d2242020-11-25T01:01:48ZengHindawi LimitedShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/72869467286946A Generalized Demodulation and Hilbert Transform Based Signal Decomposition MethodZhi-Xiang Hu0Wei-Xin Ren1Zuo-Cai Wang2Yue-Ling Jing3Xia Yang4Department of Civil Engineering, Hefei University of Technology, Hefei, Anhui Province 23009, ChinaDepartment of Civil Engineering, Hefei University of Technology, Hefei, Anhui Province 23009, ChinaDepartment of Civil Engineering, Hefei University of Technology, Hefei, Anhui Province 23009, ChinaDepartment of Civil Engineering, Hefei University of Technology, Hefei, Anhui Province 23009, ChinaDepartment of Civil Engineering, Hefei University of Technology, Hefei, Anhui Province 23009, ChinaThis 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.http://dx.doi.org/10.1155/2017/7286946
collection DOAJ
language English
format Article
sources DOAJ
author Zhi-Xiang Hu
Wei-Xin Ren
Zuo-Cai Wang
Yue-Ling Jing
Xia Yang
spellingShingle Zhi-Xiang Hu
Wei-Xin Ren
Zuo-Cai Wang
Yue-Ling Jing
Xia Yang
A Generalized Demodulation and Hilbert Transform Based Signal Decomposition Method
Shock and Vibration
author_facet Zhi-Xiang Hu
Wei-Xin Ren
Zuo-Cai Wang
Yue-Ling Jing
Xia Yang
author_sort Zhi-Xiang Hu
title A Generalized Demodulation and Hilbert Transform Based Signal Decomposition Method
title_short A Generalized Demodulation and Hilbert Transform Based Signal Decomposition Method
title_full A Generalized Demodulation and Hilbert Transform Based Signal Decomposition Method
title_fullStr A Generalized Demodulation and Hilbert Transform Based Signal Decomposition Method
title_full_unstemmed A Generalized Demodulation and Hilbert Transform Based Signal Decomposition Method
title_sort generalized demodulation and hilbert transform based signal decomposition method
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2017-01-01
description 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.
url http://dx.doi.org/10.1155/2017/7286946
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AT weixinren ageneralizeddemodulationandhilberttransformbasedsignaldecompositionmethod
AT zuocaiwang ageneralizeddemodulationandhilberttransformbasedsignaldecompositionmethod
AT yuelingjing ageneralizeddemodulationandhilberttransformbasedsignaldecompositionmethod
AT xiayang ageneralizeddemodulationandhilberttransformbasedsignaldecompositionmethod
AT zhixianghu generalizeddemodulationandhilberttransformbasedsignaldecompositionmethod
AT weixinren generalizeddemodulationandhilberttransformbasedsignaldecompositionmethod
AT zuocaiwang generalizeddemodulationandhilberttransformbasedsignaldecompositionmethod
AT yuelingjing generalizeddemodulationandhilberttransformbasedsignaldecompositionmethod
AT xiayang generalizeddemodulationandhilberttransformbasedsignaldecompositionmethod
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