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A novel data-driven method of modal analysis for complex flow dynamics, termed as reduced-order variational mode decomposition (RVMD), has been proposed, combining the idea of the separation of variables and a state-of-the-art nonstationary…

Fluid Dynamics · Physics 2022-09-27 Zi-Mo Liao , Zhiye Zhao , Liang-Bing Chen , Zhen-Hua Wan , Nan-Sheng Liu , Xi-Yun Lu

We present a novel physics-informed system identification method to construct a passive linear time-invariant system. In more detail, for a given quadratic energy functional, measurements of the input, state, and output of a system in the…

Dynamical Systems · Mathematics 2023-02-13 Riccardo Morandin , Jonas Nicodemus , Benjamin Unger

We propose a new solution to the blind source separation problem that factors mixed time-series signals into a sum of spatiotemporal modes, with the constraint that the temporal components are intrinsic mode functions (IMF's). The key…

Numerical Analysis · Mathematics 2018-06-25 Seth M. Hirsh , Bingni W. Brunton , J. Nathan Kutz

The decomposition of a signal is a fundamental tool in many fields of research, including signal processing, geophysics, astrophysics, engineering, medicine, and many more. By breaking down complex signals into simpler oscillatory…

Numerical Analysis · Mathematics 2024-12-03 Roberto Cavassi , Antonio Cicone , Enza Pellegrino , Haomin Zhou

Voltage fluctuations are common disturbances in power grids, therefore the effective and selective process of identification and localization of individual voltage fluctuations sources is necessary for the minimization of such disturbances.…

Signal Processing · Electrical Eng. & Systems 2025-05-02 Piotr Kuwałek

We consider tensor data completion of an incomplete observation of multidimensional harmonic (MH) signals. Unlike existing tensor-based techniques for MH retrieval (MHR), which mostly adopt the canonical polyadic decomposition (CPD) to…

Signal Processing · Electrical Eng. & Systems 2025-01-28 Lei Wang , Xiao-Feng Gong , Xi-Yuan Liu , Wei Feng , Qiu-Hua Lin

Automatically determining the number of intrinsic mode functions (IMFs) and their center frequencies in Variational Mode Decomposition (VMD) remains an open mathematical challenge. Existing methods rely on heuristic settings,…

Mathematical Physics · Physics 2026-05-04 Chenjie Zhong , Zhipeng Li , Shangzhi Xu , Xiaohu Li , Luodan Zhang , Jianjun Yuan

In this paper, a generic extension of variational mode decomposition (VMD) algorithm for multivariate or multichannel data sets is presented. We first define a model for multivariate modulated oscillations that is based on the presence of a…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Naveed ur Rehman , Hania Aftab

In this paper, we introduce a sequential variational mode decomposition method to separate non-stationary mixed signals successively. This method is inspired by the variational method, and can precisely recover the original components one…

Signal Processing · Electrical Eng. & Systems 2021-03-11 Wei Chen

Hilbert-Huang transform (HHT) has drawn great attention in power system analysis due to its capability to deal with dynamic signal and provide instantaneous characteristics such as frequency, damping, and amplitudes. However, its…

Signal Processing · Electrical Eng. & Systems 2017-11-15 Zhe Yu , Di Shi , Haifeng Li , Yishen Wang , Zhehan Yi , Zhiwei Wang

In this study, the Multivariate Empirical Mode Decomposition (MEMD) is applied to multichannel EEG to obtain scale-aligned intrinsic mode functions (IMFs) as input features for emotion detection. The IMFs capture local signal variation…

Signal Processing · Electrical Eng. & Systems 2022-06-03 Monira Islam , Tan Lee

The diffusion of nonlinear loads and power electronic devices in power systems deteriorates the signal environment and increases the difficulty of measuring harmonic phasors. Considering accurate harmonic phasor information is necessary to…

Signal Processing · Electrical Eng. & Systems 2022-11-17 Dongfang Zhao , Shisong Li , Fuping Wang , Wei Zhao , Songling Huang , Qing Wang

Background: Windowed Fourier decompositions (WFD) are widely used in measuring stationary and non-stationary spectral phenomena and in describing pairwise relationships among multiple signals. Although a variety of WFDs see frequent…

Quantitative Methods · Quantitative Biology 2019-01-30 Christopher K. Kovach , Phillip E. Gander

Structural health monitoring (SHM) is an essential engineering field aimed at ensuring the safety and reliability of civil infrastructures. This study proposes a methodology using multivariate variational mode decomposition (MVMD) for…

Applications · Statistics 2025-04-16 Lakhadive Mehulkumar R , Anshu Sharma , Basuraj Bhowmik

This paper describes a method to implement Reactive Power Compensation (RPC) in power systems that possess nonlinear non-stationary current disturbances. The Empirical Mode Decomposition (EMD) introduced in the Hilbert-Huang Transform (HHT)…

Optimization and Control · Mathematics 2012-06-20 Phen Chiak See , Vin Cent Tai , Marta Molinas , Kjetil Uhlen , Olav Bjarte Fosso

Accurate phase demodulation is critical for vital sign detection using millimeter-wave radar. However, in complex environments, time-varying DC offsets and phase imbalances can severely degrade demodulation performance. To address this, we…

Signal Processing · Electrical Eng. & Systems 2025-05-14 Shuai Sun , Chong-Xi Liang , Chengwei Ye , Huanzhen Zhang , Kangsheng Wang

In this paper, an Empirical Mode Decomposition-based method is proposed for the detection of transformer faults from Dissolve gas analysis (DGA) data. Ratio-based DGA parameters are ranked using their skewness. Optimal sets of intrinsic…

Machine Learning · Computer Science 2021-10-25 Shoaib Meraj Sami , Mohammed Imamul Hassan Bhuiyan

The vibration analysis of the bearing is very crucial because of its non-stationary nature and low signal-to-noise ratio. Therefore, a novel scheme for detecting bearing defects is put forward based on the extraction of single-valued…

Signal Processing · Electrical Eng. & Systems 2024-03-20 Sumika Chauhan , Govind Vashishtha , Rajesh Kumar , Radoslaw Zimroz , Pradeep Kundu

This study introduces an improved VMD based signal decomposition methodology for non-contact heartbeat estimation using millimeterwave (mmWave) radar. Specifically, we first analyze the signal model of the mmWave radar system. The…

Signal Processing · Electrical Eng. & Systems 2025-02-18 Boyuan Gu , Yanhui Yang , Siyu You , Haiyang Sun , Jiahui Sun , Shisheng Guo

This paper considers the problem of signal decomposition and data visualization. For this purpose, we introduce a new multiscale transform, termed `ensemble patch transformation' that enhances identification of local characteristics…

Signal Processing · Electrical Eng. & Systems 2019-04-09 Donghoh Kim , Guebin Choi , Hee-Seok Oh