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The power spectral density in Fourier frequency domain, and the different variants of the Allan deviation (ADEV) in dependence on the averaging time are well established tools to analyse the fluctuation properties and frequency instability…

Data Analysis, Statistics and Probability · Physics 2015-07-21 Erik Benkler , Christian Lisdat , Uwe Sterr

Signal decomposition is an effective tool to assist the identification of modal information in time-domain signals. Two signal decomposition methods, including the empirical wavelet transform (EWT) and Fourier decomposition method (FDM),…

Signal Processing · Electrical Eng. & Systems 2023-01-31 Wei Zhou , Zhongren Feng , Y. F. Xu , Xiongjiang Wang , Hao Lv

In this paper, a novel decomposition method for non-stationary and nonlinear signals is proposed. This method is inspired by the adaptive wavelet filter bank of the empirical wavelet transform (EWT) and Fourier intrinsic band functions…

Signal Processing · Electrical Eng. & Systems 2019-12-03 Wei Zhou , Zhongren Feng , Xiongjiang Wang , Hao Lv

Accurate classification of sleep stages is crucial for the diagnosis and management of sleep disorders. Conventional approaches for sleep scoring rely on manual annotation or features extracted from EEG signals in the time or frequency…

Machine Learning · Computer Science 2025-10-10 Mehdi Zekriyapanah Gashti , Ghasem Farjamnia

We have presented a new and alternative algorithm for noise reduction using the methods of discrete wavelet transform and numerical differentiation of the data. In our method the threshold for reducing noise comes out automatically. The…

The nondecimated or translation-invariant wavelet transform (NDWT) is a central tool in classical multiscale signal analysis, valued for its stability, redundancy, and shift invariance. This paper develops two complementary quantum…

Quantum Physics · Physics 2025-12-29 Brani Vidakovic

Biomedical signal classification presents unique challenges due to long sequences, complex temporal dynamics, and multi-scale frequency patterns that are poorly captured by standard transformer architectures. We propose WaveFormer, a…

Machine Learning · Computer Science 2026-02-13 Habib Irani , Bikram De , Vangelis Metsis

Affective computing is an important branch of artificial intelligence, and with the rapid development of brain computer interface technology, emotion recognition based on EEG signals has received broad attention. It is still a great…

Signal Processing · Electrical Eng. & Systems 2022-12-26 Yongling Xu , Yang Du , Jing Zou , Tianying Zhou , Lushan Xiao , Li Liu , Pengcheng

Wearable electrocardiogram (ECG) measurement using dry electrodes has a problem with high-intensity noise distortion. Hence, a robust noise reduction method is required. However, overlapping frequency bands of ECG and noise make noise…

Signal Processing · Electrical Eng. & Systems 2025-01-14 Takamasa Terada , Masahiro Toyoura

Power measurement algorithms based on Fourier transform are susceptible to errors caused by interharmonics, while wavelet transform algorithms are particularly sensitive to even harmonics due to band decomposition effects. The empirical…

Signal Processing · Electrical Eng. & Systems 2025-02-17 Jian Liu , Wei Zhao , Shisong Li

Huang's Empirical Mode Decomposition (EMD) is an algorithm for analyzing nonstationary data that provides a localized time-frequency representation by decomposing the data into adaptively defined modes. EMD can be used to estimate a…

Data Analysis, Statistics and Probability · Physics 2010-08-26 Daniel N. Kaslovsky , Francois G. Meyer

Computer analysis of Lung Sound (LS) signals has been proposed in recent years as a tool to analyze the lungs' status but there have always been main challenges, including the contamination of LS with environmental noises, which come from…

Audio and Speech Processing · Electrical Eng. & Systems 2022-09-21 Mozhde Firoozi Pouyani , Mansour Vali , Mohammad Amin Ghasemi

The extraction of geoelectric structural information from airborne transient electromagnetic(ATEM)data primarily involves data processing and inversion. Conventional methods rely on empirical parameter selection, making it difficult to…

Machine Learning · Computer Science 2025-03-31 Shuang Wang , Xuben Wang , Fei Deng , Xiaodong Yu , Peifan Jiang , Lifeng Mao

Change detection in remote sensing imagery plays a vital role in various engineering applications, such as natural disaster monitoring, urban expansion tracking, and infrastructure management. Despite the remarkable progress of deep…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Xiaoyang Zhang , Guodong Fan , Guang-Yong Chen , Zhen Hua , Jinjiang Li , Min Gan , C. L. Philip Chen

Acoustic monitoring has recently shown great potential in the diagnosis of infrastructure condition. However, due to the severe noise interference in acoustic signals, meaningful features tend to be difficult to infer. It creates a…

Signal Processing · Electrical Eng. & Systems 2023-03-24 Baorui Dai , Gaëtan Frusque , Qi Li , Olga Fink

Though widely used in image classification, convolutional neural networks (CNNs) are prone to noise interruptions, i.e. the CNN output can be drastically changed by small image noise. To improve the noise robustness, we try to integrate…

Computer Vision and Pattern Recognition · Computer Science 2021-09-01 Qiufu Li , Linlin Shen , Sheng Guo , Zhihui Lai

Fault diagnosis plays a crucial role in maintaining the operational integrity of mechanical systems, preventing significant losses due to unexpected failures. As intelligent manufacturing and data-driven approaches evolve, Deep Learning…

Machine Learning · Computer Science 2024-04-01 Zhongzhi Li , Rong Fan , Jingqi Tu , Jinyi Ma , Jianliang Ai , Yiqun Dong

Despite the broad application of the analytic wavelet transform (AWT), a systematic statistical characterization of its magnitude and phase as inhomogeneous random fields on the time-frequency domain when the input is a random process…

Statistics Theory · Mathematics 2025-12-23 Gi-Ren Liu , Yuan-Chung Sheu , Hau-Tieng Wu

Ambulatory electrocardiogram (ECG) readings are prone to mixed noise from physical activities, including baseline wander (BW), muscle artifact (MA), and electrode motion artifact (EM). Developing a method to remove such complex noise and…

Signal Processing · Electrical Eng. & Systems 2026-05-29 Pengxin Li , Yimin Zhou , Jie Min , Yirong Wang , Wei Liang , Qingling Xia , Wang Li

Accurate dynamic modeling of power systems is essential to assess the stability of electrical power systems when faced with disturbances, which can trigger cascading failures leading to blackouts. A continuum model proves to be effective in…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Somayeh Yarahmadi , Daniel Adrian Maldonado , Lamine Mili , Junbo Zhao , Mihai Anitescu
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