{"title":"Recursive Windowed Variational Mode Decomposition","authors":"Zhaoheng Zhou, Bingo Wing-Kuen Ling, Nuo Xu","doi":"10.1007/s00034-024-02864-2","DOIUrl":null,"url":null,"abstract":"<p>The variational mode decomposition (VMD) and its variants aim to decompose a given signal into a set of narrow band modes. The analysis of these modes is usually based on the Fourier analysis. That is, the center frequencies of these modes are found without exploiting the local time varying information of the signal during the iteration in the existing algorithms for performing the VMD. To address this issue, this paper proposes a recursive windowed VMD (RWVMD) approach for performing the signal decomposition. First, the window is sliding across the signal. Then, the variational mode extraction is performed on each frame to obtain the first mode. Then, the difference between the first mode and the signal is computed to obtain the residual signal. The above process is repeated on the residual signal until the algorithm converges. The effectiveness of the RWVMD algorithm is demonstrated through the computer numerical simulations. It is found that the center frequency in the time frequency plane is more accurately matched with the characteristics of the original signal.</p>","PeriodicalId":10227,"journal":{"name":"Circuits, Systems and Signal Processing","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Circuits, Systems and Signal Processing","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s00034-024-02864-2","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
The variational mode decomposition (VMD) and its variants aim to decompose a given signal into a set of narrow band modes. The analysis of these modes is usually based on the Fourier analysis. That is, the center frequencies of these modes are found without exploiting the local time varying information of the signal during the iteration in the existing algorithms for performing the VMD. To address this issue, this paper proposes a recursive windowed VMD (RWVMD) approach for performing the signal decomposition. First, the window is sliding across the signal. Then, the variational mode extraction is performed on each frame to obtain the first mode. Then, the difference between the first mode and the signal is computed to obtain the residual signal. The above process is repeated on the residual signal until the algorithm converges. The effectiveness of the RWVMD algorithm is demonstrated through the computer numerical simulations. It is found that the center frequency in the time frequency plane is more accurately matched with the characteristics of the original signal.
期刊介绍:
Rapid developments in the analog and digital processing of signals for communication, control, and computer systems have made the theory of electrical circuits and signal processing a burgeoning area of research and design. The aim of Circuits, Systems, and Signal Processing (CSSP) is to help meet the needs of outlets for significant research papers and state-of-the-art review articles in the area.
The scope of the journal is broad, ranging from mathematical foundations to practical engineering design. It encompasses, but is not limited to, such topics as linear and nonlinear networks, distributed circuits and systems, multi-dimensional signals and systems, analog filters and signal processing, digital filters and signal processing, statistical signal processing, multimedia, computer aided design, graph theory, neural systems, communication circuits and systems, and VLSI signal processing.
The Editorial Board is international, and papers are welcome from throughout the world. The journal is devoted primarily to research papers, but survey, expository, and tutorial papers are also published.
Circuits, Systems, and Signal Processing (CSSP) is published twelve times annually.