Recursive Windowed Variational Mode Decomposition

IF 1.8 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC
Zhaoheng Zhou, Bingo Wing-Kuen Ling, Nuo Xu
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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.

Abstract Image

递归窗口变分模式分解
变异模式分解(VMD)及其变体旨在将给定信号分解为一组窄带模式。对这些模式的分析通常基于傅立叶分析。也就是说,在现有的 VMD 算法中,这些模式的中心频率是在迭代过程中找到的,而没有利用信号的局部时变信息。针对这一问题,本文提出了一种递归窗口 VMD(RWVMD)方法来进行信号分解。首先,在信号上滑动窗口。然后,对每一帧进行变分模式提取,以获得第一模式。然后,计算第一模式与信号之间的差值,得到残差信号。在残差信号上重复上述过程,直到算法收敛。计算机数值模拟证明了 RWVMD 算法的有效性。结果发现,时频平面上的中心频率与原始信号的特征更为精确地匹配。
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来源期刊
Circuits, Systems and Signal Processing
Circuits, Systems and Signal Processing 工程技术-工程:电子与电气
CiteScore
4.80
自引率
13.00%
发文量
321
审稿时长
4.6 months
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.
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