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335 Results Found

  • Article
  • Open Access
12 Citations
5,362 Views
19 Pages

24 February 2022

Complex variational mode decomposition (CVMD) has been proposed to extend the original variational mode decomposition (VMD) algorithm to analyze complex-valued data. Conventionally, CVMD divides complex-valued data into positive and negative frequenc...

(This article belongs to the Section Intelligent Sensors)
  • Article
  • Open Access
19 Citations
3,925 Views
20 Pages

Adaptive Complex Variational Mode Decomposition for Micro-Motion Signal Processing Applications

  • Saiqiang Xia,
  • Jun Yang,
  • Wanyong Cai,
  • Chaowei Zhang and ,
  • Liangfa Hua and
  • Zibo Zhou
  • + 1 author+ 0 author

26 February 2021

In order to suppress the strong clutter component and separate the effective fretting component from narrow-band radar echo, a method based on complex variational mode decomposition (CVMD) is proposed in this paper. The CVMD is extended from variatio...

(This article belongs to the Section Remote Sensors)
  • Article
  • Open Access
4 Citations
2,920 Views
16 Pages

A Source Localization Method Using Complex Variational Mode Decomposition

  • Qiuyan Miao,
  • Xinglin Sun,
  • Bin Wu,
  • Lingyun Ye and
  • Kaichen Song

26 May 2022

Source localization with a passive sensors array is a common topic in various areas. Among the popular source localization algorithms, the compressive sensing (CS)-based method has recently drawn considerable interest because it is a high-resolution...

(This article belongs to the Section Electronic Sensors)
  • Article
  • Open Access
9 Citations
2,582 Views
16 Pages

1 March 2020

Periodic narrowband signals and white noise are the main interferences in online detection and localization of cable partial discharge (PD), however, existing research has always focused on the white noise suppression only, which is not in line with...

(This article belongs to the Section Electrical, Electronics and Communications Engineering)
  • Article
  • Open Access
350 Views
26 Pages

A Short-Term Load Forecasting Method Based on Complexity-Component Adaptive Decomposition and Locally Gated Mamba

  • Mengna Luo,
  • Jintao Wu,
  • Liming Zheng,
  • Ruibiao Xie and ,
  • Zetao Jiang,
  • Qijing Yuan and
  • Tao Yu
  • + 2 authors+ 0 author

25 September 2026

User-level short-term load forecasting is crucial for the efficient operation and dispatch of distribution networks. However, accurate forecasting remains challenging because of pronounced load fluctuations and abrupt local variations. To address thi...

(This article belongs to the Special Issue Power System Operation and Control Technology—2nd Edition)
  • Article
  • Open Access
957 Views
19 Pages

12 March 2026

Accurate prediction of shipping freight indices, represented by the Baltic Dry Index (BDI), is crucial for operational decision-making and risk management in the shipping industry. Existing models mainly rely on historical time-series data and often...

(This article belongs to the Special Issue Advanced AI and Machine Learning Techniques for Time Series Analysis and Pattern Recognition)
  • Article
  • Open Access
16 Citations
4,598 Views
28 Pages

Empirical Variational Mode Decomposition Based on Binary Tree Algorithm

  • Huipeng Li,
  • Bo Xu,
  • Fengxing Zhou,
  • Baokang Yan and
  • Fengqi Zhou

30 June 2022

Aiming at non-stationary signals with complex components, the performance of a variational mode decomposition (VMD) algorithm is seriously affected by the key parameters such as the number of modes K, the quadratic penalty parameter α and the u...

(This article belongs to the Special Issue Sensor-Based Frequency, Time-Frequency, and Higher Order Signal Processing for Condition Monitoring, Structural Health Monitoring, and Non-Destructive Testing)
  • Article
  • Open Access
12 Citations
3,763 Views
16 Pages

Deep Prediction Model Based on Dual Decomposition with Entropy and Frequency Statistics for Nonstationary Time Series

  • Zhigang Shi,
  • Yuting Bai,
  • Xuebo Jin,
  • Xiaoyi Wang and ,
  • Tingli Su and
  • Jianlei Kong
  • + 1 author+ 0 author

2 March 2022

The prediction of time series is of great significance for rational planning and risk prevention. However, time series data in various natural and artificial systems are nonstationary and complex, which makes them difficult to predict. An improved de...

(This article belongs to the Special Issue Methods in Artificial Intelligence and Information Processing)
  • Article
  • Open Access
7 Citations
448 Views
23 Pages

19 April 2026

During long-term operation, power electronic converters are jointly affected by component degradation and operational disturbances, leading to pronounced nonstationary and multi-scale characteristics in output-voltage signals, which pose challenges f...

(This article belongs to the Special Issue Advances in Condition Monitoring and Fault Diagnosis of Electrical Equipment)
  • Proceeding Paper
  • Open Access
1 Citations
1,293 Views
6 Pages

This paper investigates the efficacy of various data-driven decomposition methods combined with Phase Permutation Entropy (PPE) to form a promising complexity metric for analyzing time series. PPE is a variant of classical permutation entropy (PE), w...

(This article belongs to the Proceedings of The 10th International Conference on Time Series and Forecasting)
  • Article
  • Open Access
6 Citations
2,733 Views
14 Pages

7 August 2022

Runoff complexity is an important indicator reflecting the sustainability of a watershed ecosystem. In order to explore the multiscale characteristics of runoff complexity and analyze its variation and influencing factors in the Yanhe watershed in Ch...

(This article belongs to the Topic Ecosystem Monitoring: Collective Species and Environmental Information)
  • Article
  • Open Access
4 Citations
2,385 Views
15 Pages

13 April 2023

A mixed signal with several unknown modes is common in the industry and is hard to decompose. Variational Mode Decomposition (VMD) was proposed to decompose a signal into several amplitude-modulated modes in 2014, which overcame the limitations of Em...

(This article belongs to the Special Issue Computational Intelligence and Human–Computer Interaction: Modern Methods and Applications, 2nd Edition)
  • Article
  • Open Access
27 Citations
8,999 Views
22 Pages

In order to address the significant prediction errors resulting from the substantial fluctuations in agricultural product prices and the non-linear features, this paper proposes a hybrid forecasting model based on variational mode decomposition (VMD)...

(This article belongs to the Section Agricultural Economics, Policies and Rural Management)
  • Article
  • Open Access
19 Citations
2,715 Views
25 Pages

A Novel Denoising Method for Ship-Radiated Noise

  • Yuxing Li,
  • Chunli Zhang and
  • Yuhan Zhou

1 September 2023

Ship-radiated noise (SN) is one of the most critical signals in the complex marine environment; however, it is inevitably contaminated by the marine environment’s noise as well as noise from other equipment. Thus, the feature extraction and ide...

(This article belongs to the Section Marine Environmental Science)
  • Article
  • Open Access
16 Citations
4,716 Views
23 Pages

26 December 2018

Dual-tree complex wavelet transform has been successfully applied to the composite diagnosis of a gearbox and has achieved good results. However, it has some fatal weaknesses, so this paper proposes an improved dual-tree complex wavelet transform (ID...

  • Article
  • Open Access
7 Citations
2,017 Views
18 Pages

4 June 2025

Accurate extraction of weak fault information from non-stationary vibration signals collected by vibration sensors is challenging due to severe noise and interference. While variational mode decomposition (VMD) has been effective in fault diagnosis,...

(This article belongs to the Special Issue Vibrations and Acoustics for Condition Monitoring in Non-Stationary Operations)
  • Article
  • Open Access
2 Citations
3,176 Views
30 Pages

The variational mode decomposition (VMD) method has been widely applied in the field of mechanical fault diagnosis as an excellent non-recursive signal processing tool. The performance of VMD depends on its inherent prior parameters. Searching for th...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
14 Citations
3,084 Views
19 Pages

13 September 2020

Planetary gearboxes are more and more widely used in large and complex construction machinery such as those used in aviation, aerospace fields, and so on. However, the movement of the gear is a typical complex motion and is often under variable condi...

(This article belongs to the Special Issue Advances in Machine Fault Diagnosis)
  • Article
  • Open Access
17 Citations
4,665 Views
29 Pages

29 January 2025

Compared to vibration sensors, microphones offer several advantages, including non-contact detection, high sensitivity, low cost, and ease of installation. To address the challenges posed by the complex components and significant interference in roll...

(This article belongs to the Special Issue Applied Artificial Intelligence for Industrial Nondestructive Evaluation NDE4.0)
  • Article
  • Open Access
5 Citations
2,725 Views
16 Pages

The transformer is a core component in power systems, and its reliable operation is crucial for the safety and stability of the power grid. Transformer faults can be diagnosed early using acoustic signals. However, effective acoustic features are oft...

(This article belongs to the Section Power Electronics)
  • Article
  • Open Access
88 Citations
8,143 Views
17 Pages

16 June 2016

In the condition monitoring of roller bearings, the measured signals are often compounded due to the unknown multi-vibration sources and complex transfer paths. Moreover, the sensors are limited in particular locations and numbers. Thus, this is a pr...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
35 Citations
5,908 Views
15 Pages

21 February 2019

The continuous casting process is a continuous, complex phase transition process. The noise components of the continuous casting process are complex, the model is difficult to establish, and it is difficult to separate the noise and clear signals eff...

(This article belongs to the Collection Wavelets, Fractals and Information Theory)
  • Article
  • Open Access
266 Views
19 Pages

Forecasting electronic current transformer (ECT) metering errors is challenging because long-term operation produces nonstationary and multiscale variations under changing load and environmental conditions. This study proposes an improved variational...

(This article belongs to the Special Issue Advances in Condition Monitoring, Diagnosis, and Prognostics for Power Equipment)
  • Article
  • Open Access
10 Citations
1,264 Views
15 Pages

18 March 2025

Photovoltaic power generation as a green energy source is often used in power systems, but the volatility of PV output and randomness of the problem affect the stability of the power-grid power supply; so, for the problem of low prediction accuracy o...

(This article belongs to the Section A2: Solar Energy and Photovoltaic Systems)
  • Article
  • Open Access
27 Citations
4,379 Views
17 Pages

1 May 2019

The prediction of chaotic time series has been a popular research field in recent years. Due to the strong non-stationary and high complexity of the chaotic time series, it is difficult to directly analyze and predict depending on a single model, so...

(This article belongs to the Special Issue Symmetry in Applied Continuous Mechanics)
  • Article
  • Open Access
19 Citations
3,031 Views
19 Pages

The non-stationarity, nonlinearity and complexity of the PM2.5 series have caused difficulties in PM2.5 prediction. To improve prediction accuracy, many forecasting methods have been developed. However, these methods usually do not consider the impor...

  • Article
  • Open Access
2 Citations
742 Views
18 Pages

26 February 2026

This paper proposes a rolling bearing fault diagnosis method based on Variational Mode Decomposition–Newton–Raphson (VMD-NR) modal decomposition and multi-feature fusion to address the issue of insufficient accuracy in rolling bearing fau...

(This article belongs to the Section Systems & Control Engineering)
  • Communication
  • Open Access
20 Citations
2,914 Views
12 Pages

6 March 2023

Because of the impact of the complex environment of tunnel portals, the measured blasting vibration signals in a tunnel portal contains a lot of high-frequency noise. To achieve effective noise reduction, a novel method of noise reduction for blastin...

(This article belongs to the Section Acoustics and Vibrations)
  • Article
  • Open Access
3 Citations
4,679 Views
20 Pages

24 April 2020

The non-contact detection of buried ferromagnetic pipeline is a long-standing problem in the field of inspection of outside pipelines, and the extraction of magnetic anomaly signal is a prerequisite for accurate detection. Pipeline defects can cause...

  • Article
  • Open Access
46 Citations
4,610 Views
21 Pages

30 June 2022

This paper proposes an intelligent diagnosis method for rotating machinery faults based on improved variational mode decomposition (IVMD) and CNN to process the rotating machinery non-stationary signal. Firstly, to solve the problem of time-domain fe...

(This article belongs to the Section Signal and Data Analysis)
  • Article
  • Open Access
227 Views
24 Pages

A Low-Power Ultrasonic Residual Stress Measurement Method Based on the CM-SSA-VMD Denoising Algorithm

  • Xin Zeng,
  • Bing Chen,
  • Chunlang Luo,
  • Feifei Qiu and ,
  • Jiakai Chen,
  • Yuanyuan Zhao and
  • Guoqing Gou
  • + 2 authors+ 0 author

30 September 2026

Welded structures are widely used in ships and marine equipment. The ultrasonic longitudinal critically refracted (LCR) wave method is a reliable technique for measuring residual stress in welded structures. Conventional ultrasonic measurement system...

  • Article
  • Open Access
13 Citations
2,392 Views
25 Pages

Photovoltaic Power Generation Forecasting Based on Secondary Data Decomposition and Hybrid Deep Learning Model

  • Liwei Zhang,
  • Lisang Liu,
  • Wenwei Chen,
  • Zhihui Lin and ,
  • Dongwei He and
  • Jian Chen
  • + 1 author+ 0 author

14 June 2025

Accurate forecasting of photovoltaic (PV) power generation is crucial for optimizing grid operation and ensuring a reliable power supply. However, the inherent volatility and intermittency of solar energy pose significant challenges to grid stability...

(This article belongs to the Section A2: Solar Energy and Photovoltaic Systems)
  • Article
  • Open Access
2 Citations
1,375 Views
25 Pages

26 November 2024

Continuous glucose monitoring data have strong time variability as well as complex non-stationarity and nonlinearity. The existing blood glucose concentration prediction models often overlook the impacts of residual components after multi-scale decom...

  • Article
  • Open Access
12 Citations
4,271 Views
17 Pages

5 November 2023

Raman spectroscopy has been widely applied in numerous fields including bioanalysis, disease diagnosis, and molecular recognition, owing to its unique advantages of being non-invasive, rapid, and highly specific. However, the acquisition of Raman spe...

  • Communication
  • Open Access
5 Citations
2,498 Views
10 Pages

Numerical Method for the Design of Compact Adiabatic Devices with Multiple Parameter Variations

  • Tu-Lu Liang,
  • Xi Cheng,
  • Mei Yu,
  • Lingyan Zhang and ,
  • Jin Shi,
  • Gangxiong Wu,
  • Weiwei Rong and
  • Wei Shao
  • + 3 authors+ 0 author

In this study, a numerical method for designing efficient adiabatic devices with multiple structural parameter variations (NAMSP) is developed. This method can be applied to a wide range of devices based on adiabatic mode evolution structures. The nu...

  • Article
  • Open Access
14 Citations
2,099 Views
21 Pages

Characterization of Power System Oscillation Modes Using Synchrophasor Data and a Modified Variational Decomposition Mode Algorithm

  • José Oscullo Lala,
  • Nathaly Orozco Garzón,
  • Henry Carvajal Mora,
  • Diego Echeverria and ,
  • José Vega-Sánchez and
  • Takaaki Ohishi
  • + 1 author+ 0 author

22 May 2025

The growing complexity and uncertainty in modern power systems—driven by increased integration of renewable energy sources and variable loads—underscore the need for robust tools to assess dynamic stability. This paper presents an enhance...

(This article belongs to the Section F1: Electrical Power System)
  • Article
  • Open Access
223 Views
29 Pages

7 October 2026

Stock price forecasting is important for financial decision-making but remains challenging because of complex and volatile market dynamics. Although existing forecasting methods have achieved considerable progress, they still face several limitations...

(This article belongs to the Special Issue AI, Machine Learning and Optimization)
  • Article
  • Open Access
21 Citations
3,093 Views
21 Pages

29 October 2024

Traditional single prediction models struggle to address the complexity and nonlinear changes in water quality forecasting. To address this challenge, this study proposed a coupled prediction model (RF-TVSV-SCL). The model includes Random Forest (RF)...

(This article belongs to the Special Issue Application of Smart Technologies in Integrated Water Quality Modeling)
  • Article
  • Open Access
28 Citations
4,387 Views
33 Pages

2 February 2018

With the growing penetration of wind power into electric grids, improving wind speed prediction accuracy has become particularly valuable for the exploitation of wind power. In this paper, a novel hybrid strategy based on a three-phase signal decompo...

(This article belongs to the Section A: Sustainable Energy)
  • Article
  • Open Access
7 Citations
1,230 Views
29 Pages

Multi-Step Natural Gas Load Forecasting Incorporating Data Complexity Analysis with Finite Features

  • Ning Tian,
  • Bilin Shao,
  • Huibin Zeng,
  • Meng Ren and ,
  • Wei Zhao,
  • Xue Zhao and
  • Shuqiang Wu
  • + 2 authors+ 0 author

23 June 2025

Data complexity directly affects the dynamics of complex systems, which in turn influences the accuracy and robustness of forecasting models. However, the load data exhibit complex features such as self-similarity, long-term memory, randomness, and c...

(This article belongs to the Section Signal and Data Analysis)
  • Article
  • Open Access
2,174 Views
21 Pages

Electromagnetic Interference Cancellation in the Frequency Domain Based on the ASEI-VMD Method

  • Dongwei Chen,
  • Mengzhe Jin,
  • Jinchao Liu,
  • Weidong Liu and
  • Qingyuan Fang

30 September 2023

In electromagnetic compatibility (EMC) testing, accurately extracting the radiation emission characteristics from the Equipment Under Test (EUT) in complex electromagnetic environments remains a daunting task. This paper presents a solution by introd...

  • Article
  • Open Access
8 Citations
1,504 Views
20 Pages

Multi-Level Decomposition and Interpretability-Enhanced Air Conditioning Load Forecasting Study

  • Xinting Yang,
  • Ling Zhang,
  • Hong Zhao,
  • Wenhua Zhang and ,
  • Chuan Long,
  • Gang Wu,
  • Junhao Zhao and
  • Xiaodong Shen
  • + 3 authors+ 0 author

23 November 2024

This study seeks to improve the accuracy of air conditioning load forecasting to address the challenges of load management in power systems during high-temperature periods in the summer. Given the limitations of traditional forecasting models in capt...

(This article belongs to the Topic Short-Term Load Forecasting)
  • Article
  • Open Access
1 Citations
514 Views
21 Pages

27 July 2026

Reliable interval forecasting is essential for risk-aware wind power scheduling, yet the strong nonstationarity and complex spatio-temporal coupling of wind power sequences make probabilistic prediction difficult. This study proposes VSTCformer (Vari...

(This article belongs to the Special Issue Data-Enhanced Engineering: Structural Integrity Assessment and Design, 2nd Edition)
  • Article
  • Open Access
36 Citations
4,137 Views
15 Pages

1 March 2019

Sea environment complexity and underwater acoustic channels make it hard to extract features of ship-radiated noise signals. This paper presents a novel feature extraction method using the advantages of variational mode decomposition (VMD), fluctuati...

(This article belongs to the Section Signal and Data Analysis)
  • Article
  • Open Access
27 Citations
3,873 Views
17 Pages

28 July 2021

Carbon trading is a significant mechanism created to control carbon emissions, and the increasing enthusiasm for participation in the carbon trading market has forced the emergence of higher-precision carbon price prediction models. Facing the comple...

(This article belongs to the Section Energy Sustainability)
  • Article
  • Open Access
802 Views
13 Pages

Denoising Method for NV-Center Fluorescence Signals Based on MPA-VMD Combined with Wavelet Thresholding

  • Yanxin He,
  • Xin Li,
  • Zhonghao Li,
  • Hao Guo and ,
  • Huan Fei Wen,
  • Jun Tang and
  • Jun Liu
  • + 2 authors+ 0 author

26 February 2026

To address complex noise in nitrogen-vacancy center fluorescence signal acquisition, a hybrid denoising framework combining marine predators algorithm-optimized variational mode decomposition (VMD) and wavelet thresholding is proposed. MPA adaptively...

(This article belongs to the Special Issue Micro- and Nanosensors: Fabrication, Applications and Performance Enhancements, Third Edition)
  • Article
  • Open Access
14 Citations
2,948 Views
22 Pages

27 November 2023

Due to the difficulty in dealing with non-stationary and nonlinear vibration signals using the single decomposition method, it is difficult to extract weak fault features from complex noise; therefore, this paper proposes a fault feature extraction m...

(This article belongs to the Section Fault Diagnosis & Sensors)
  • Article
  • Open Access
790 Views
27 Pages

A Hybrid Secondary-Decomposition and Intelligent- Optimization Framework for Agricultural Product Price Forecasting

  • Haoran Wang,
  • Chang Su,
  • Songsong Hou,
  • Mengjing Jia and ,
  • Qichao Tang and
  • Yan Guo
  • + 1 author+ 0 author

18 February 2026

With the rapid development of big data and artificial intelligence, agricultural product price forecasting is evolving toward more intelligent and accurate approaches. However, such prices are affected by complex factors including natural conditions,...

(This article belongs to the Topic Applications of Artificial Intelligence Models and Spatiotemporal Data in Agriculture and the Ecological Environment)
  • Article
  • Open Access
92 Citations
7,402 Views
18 Pages

1 November 2017

A new denoising algorithm and feature extraction algorithm that combine a new kind of permutation entropy (NPE) and variational mode decomposition (VMD) are put forward in this paper. VMD is a new self-adaptive signal processing algorithm, which is m...

(This article belongs to the Special Issue Information Technology and Its Applications)
  • Article
  • Open Access
78 Citations
7,192 Views
16 Pages

8 July 2017

In view of the problem that the features of ship-radiated noise are difficult to extract and inaccurate, a novel method based on variational mode decomposition (VMD), multi-scale permutation entropy (MPE) and a support vector machine (SVM) is propose...

(This article belongs to the Section Complexity)

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