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Linear, time-varying (LTV) systems composed of time shifts, frequency shifts, and complex amplitude scalings are operators that act on continuous finite-energy waveforms. This paper presents a novel, resource-efficient method for…

Information Theory · Computer Science 2015-06-23 Andrew Harms , Waheed U. Bajwa , Robert Calderbank

Abrupt change detection based on the wavelet transform and threshold method is very effective in detecting the abrupt changes and hence segmenting the signals recorded during disturbances in the electrical power network. The wavelet method…

Other Computer Science · Computer Science 2015-03-20 A. Ukil , R. Zivanovic

The objective of this paper is to introduce an innovative approach for the recovery of non-stationary signal components with possibly cross-over instantaneous frequency (IF) curves from a multi-component blind-source signal. The main idea…

Numerical Analysis · Mathematics 2020-12-29 Charles K. Chui , Qingtang Jiang , Lin Li , Jian Lu

Previous studies showed that hydro-climate processes are stochastic and complex systems, and it is difficult to discover the hidden patterns in the all non-stationary data and thoroughly understand the hydro-climate relationships. For the…

Applications · Statistics 2018-10-02 Jianhua Xu

With the growing complexity of Cyber-Physical Systems (CPS) and the integration of Internet of Things (IoT), the use of sensors for online monitoring generates large volume of multivariate time series (MTS) data. Consequently, the need for…

Machine Learning · Computer Science 2026-02-04 Charalampos Shimillas , Kleanthis Malialis , Konstantinos Fokianos , Marios M. Polycarpou

Many studies of biomedical time series signals aim to measure the association between frequency-domain properties of time series and clinical and behavioral covariates. However, the time-varying dynamics of these associations are largely…

Methodology · Statistics 2016-10-05 Scott A. Bruce , Martica H. Hall , Daniel J. Buysse , Robert T. Krafty

Shortwave track diseases are generally reflected in the form of local track irregularity. Such diseases will greatly impact the train-track-bridge interaction (TTBI) dynamic system, seriously affecting train safety. Therefore, a method is…

Signal Processing · Electrical Eng. & Systems 2023-03-29 Ye Mo , Yi Zhuo , Shunlong Li

Real-world phenomena that can be formulated as signals are often affected by a number of factors and appear as multi-component modes. To understand and process such phenomena, "divide-and-conquer" is probably the most common strategy to…

Signal Processing · Electrical Eng. & Systems 2022-05-30 Lin Li , Charles K. Chui , Qingtang Jiang

This paper develops a threshold model with a time-varying threshold, represented using a wavelet series expansion. The model adequately captures irregular and abrupt variations, as well as smooth changes in the threshold parameter, allowing…

Methodology · Statistics 2026-05-19 Rhea Davis , N. Balakrishna

Computed tomography (CT) is a widely used medical imaging technique to scan internal structures of a body, typically involving collimation and mechanical rotation. Compton scatter tomography (CST) presents an interesting alternative to…

Image and Video Processing · Electrical Eng. & Systems 2024-06-06 Ishak Ayad , Cécilia Tarpau , Javier Cebeiro , Maï K. Nguyen

In this paper, we tackle the state transformation problem in non-strict full state-constrained systems by introducing an adaptive fixed-time control method, utilizing a one-to-one asymmetric nonlinear mapping auxiliary system. Additionally,…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Chenglin Gong , Ziming Wang , Guanxuan Jiang , Xin Wang , Yiding Ji

Learned wavelet video coders provide an explainable framework by performing discrete wavelet transforms in temporal, horizontal, and vertical dimensions. With a temporal transform based on motion-compensated temporal filtering (MCTF),…

Image and Video Processing · Electrical Eng. & Systems 2025-06-11 Anna Meyer , André Kaup

Continuous Sign Language Recognition (CSLR) is a challenging research task due to the lack of accurate annotation on the temporal sequence of sign language data. The recent popular usage is a hybrid model based on "CNN + RNN" for CSLR.…

Computer Vision and Pattern Recognition · Computer Science 2022-08-17 Qidan Zhu , Jing Li , Fei Yuan , Quan Gan

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

The Short-Time Fourier Transform (STFT) has been a staple of signal processing, often being the first step for many audio tasks. A very familiar process when using the STFT is the search for the best STFT parameters, as they often have…

Audio and Speech Processing · Electrical Eng. & Systems 2021-05-17 An Zhao , Krishna Subramani , Paris Smaragdis

This paper describes continuously phase-modulated standing surface acoustic waves (CPM-SSAW) and its application for particle separation in multiple pressure nodes. A linear change of phase in CPM-SSAW applies a force to particles whose…

Fluid Dynamics · Physics 2017-04-05 Junseok Lee , Chanryeol Rhyou , Byungjun Kang , Hyungsuk Lee

A time-frequency diagram is a commonly used visualization for observing the time-frequency distribution of radio signals and analyzing their time-varying patterns of communication states in radio monitoring and management. While it excels…

Signal Processing · Electrical Eng. & Systems 2022-10-03 Ying Zhao , Luhao Ge , Huixuan Xie , Genghuai Bai , Zhao Zhang , Qiang Wei , Yun Lin , Yuchao Liu , Fangfang Zhou

A wavelet transform spectrum analyzer operating in real time within the frequency range 3X10^(-5) - 1.3X10^5 Hz has been implemented on a low-cost Digital Signal Processing board operating at 150MHz. The wavelet decomposition of the signal…

Statistical Mechanics · Physics 2009-11-07 Doriano Brogioli , Alberto Vailati

Rhythmic data are ubiquitous in the life sciences. Biologists need reliable statistical tests to identify whether a particular experimental treatment has caused a significant change in a rhythmic signal. When these signals display…

Multivariant time series (MTS) data are usually incomplete in real scenarios, and imputing the incomplete MTS is practically important to facilitate various time series mining tasks. Recently, diffusion model-based MTS imputation methods…

Machine Learning · Computer Science 2024-05-24 S. Zhang , S. Wang , H. Miao , H. Chen , C. Fan , J. Zhang