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The Empirical Mode Decomposition (EMD) is a signal analysis method that separates multi-component signals into single oscillatory modes called intrinsic mode functions (IMFs), each of which can generally be associated to a physical meaning…

Methodology · Statistics 2019-07-11 Olav B. Fosso , Marta Molinas

This paper studies high-dimensional trend inference for piecewise smooth signals under nonstationary noise and asynchronous structural breaks by first detecting asynchronous changes without assuming stationarity and then further exploiting…

Methodology · Statistics 2026-04-27 Lujia Bai , David Veitch , Weichi Wu , Wenyang Zhang , Zhou Zhou

The dynamic mode decomposition (DMD) is a data-driven approach that extracts the dominant features from spatiotemporal data. In this work, we introduce sparse-mode DMD, a new variant of the optimized DMD framework that specifically…

Machine Learning · Statistics 2025-07-29 Sara M. Ichinaga , Steven L. Brunton , Aleksandr Y. Aravkin , J. Nathan Kutz

In neural-based audio feature extraction, ensuring that representations capture disentangled information is crucial for model interpretability. However, existing disentanglement methods often rely on assumptions that are highly dependent on…

Sound · Computer Science 2025-10-07 Benoit Ginies , Xiaoyu Bie , Olivier Fercoq , Gaël Richard

In many dynamical probes of a quantum system, quite often multiple eigenmodes are excited. Therefore, the experimental data can be quite messy due to the mixing of different modes, as well as the background noise, despite that each mode…

Quantum Physics · Physics 2019-04-11 Yadong Wu , Hui Zhai

Dynamic Mode Decomposition (DMD) is an equation-free method that aims at reconstructing the best linear fit from temporal datasets. In this paper, we show that DMD does not provide accurate approximation for datasets describing oscillatory…

Numerical Analysis · Mathematics 2023-03-14 Alessandro Alla , Angela Monti , Ivonne Sgura

Spread-spectrum signals are increasingly adopted in fields including communications, testing of electronic systems, Electro-Magnetic Compatibility (EMC) enhancement, ultrasonic non-destructive testing. This paper considers the synthesis of…

Data Analysis, Statistics and Probability · Physics 2014-12-22 Sergio Callegari

The decomposition of sounds into sines, transients, and noise is a long-standing research problem in audio processing. The current solutions for this three-way separation detect either horizontal and vertical structures or anisotropy and…

Audio and Speech Processing · Electrical Eng. & Systems 2022-12-01 Leonardo Fierro , Vesa Välimäki

Certain applications such as Magnetic Resonance Imaging (MRI) require the reconstruction of functions from Fourier spectral data. When the underlying functions are piecewise-smooth, standard Fourier approximation methods suffer from the…

Numerical Analysis · Computer Science 2016-10-13 Jade Larriva-Latt , Angela Morrison , Alison Radgowski , Joseph Tobin , Aditya Viswanathan , Mark Iwen

Magnetic resonance (MR) protocols rely on several sequences to assess pathology and organ status properly. Despite advances in image analysis, we tend to treat each sequence, here termed modality, in isolation. Taking advantage of the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-11 Agisilaos Chartsias , Giorgos Papanastasiou , Chengjia Wang , Scott Semple , David E. Newby , Rohan Dharmakumar , Sotirios A. Tsaftaris

While time-frequency analysis provides rich representations of multicomponent signals, current decomposition methods often overlook the morphological structure where components manifest as distinct regions. This study introduces…

Signal Processing · Electrical Eng. & Systems 2025-11-26 Wei Zhou , Wei-Jian Li , Desen Zhu , Hongbin Xu , Wei-Xin Ren

This paper considers signal detection in massive multiple-input multiple-output (MIMO) systems with general additive hardware impairments and one-bit quantization. First, we present the quantization-unaware and Bussgang decomposition-based…

Signal Processing · Electrical Eng. & Systems 2020-02-06 Özlem Tugfe Demir , Emil Björnson

Balancing high sensitivity with a broad dynamic range is a fundamental challenge in measurement science, as improving one often compromises the other. While traditional quantum metrology has prioritized enhancing local sensitivity, a large…

Quantum Physics · Physics 2025-07-25 Qi Liu , Ming Xue , Matthew Radzihovsky , Xinwei Li , Denis V. Vasilyev , Ling-Na Wu , Vladan Vuletić

Unipolar communications systems can transmit information using only real and positive signals. This includes a variety of physical channels ranging from optical (fiber or free-space), to RF wireless using amplitude modulation with…

Information Theory · Computer Science 2011-12-14 Nirmal Fernando , Yi Hong , Emanuele Viterbo

The concept of the frequency diverse reconfigurable intelligent surface (FD-RIS) technology has been introduced, which can enable simultaneous implementation of distance-angle beamforming in far-field communication scenarios. In order to…

Information Theory · Computer Science 2025-12-02 Han Xiao , Xiaoyan Hu , Wenjie Wang , Kai-Kit Wong , Kun Yang , Shi Jin

Automatic modulation classification (AMC) is a crucial stage in the spectrum management, signal monitoring, and control of wireless communication systems. The accurate classification of the modulation format plays a vital role in the…

Signal Processing · Electrical Eng. & Systems 2023-04-04 Jiawei Zhang , Tiantian Wang , Zhixi Feng , Shuyuan Yang

Dynamic spectrum management (DSM) has been recognized as a key technology to significantly improve the performance of digital subscriber line (DSL) broadband access networks. The basic concept of DSM is to coordinate transmission over…

Optimization and Control · Mathematics 2016-11-15 Paschalis Tsiaflakis , Ion Necoara , Johan A. K. Suykens , Marc Moonen

Sophisticated Ramsey-based interrogation protocols using composite laser pulse sequences have been recently proposed to provide next-generation high-precision atomic clocks with a near perfect elimination of frequency shifts induced during…

Atomic Physics · Physics 2019-03-27 M. Shuker , J. W. Pollock , R. Boudot , V. I. Yudin , A. V. Taichenachev , J. Kitching , E. A. Donley

We consider the problem of detecting jumps in an otherwise smoothly evolving trend whilst the covariance and higher-order structures of the system can experience both smooth and abrupt changes over time. The number of jump points is allowed…

Methodology · Statistics 2023-12-27 Weichi Wu , Zhou Zhou

Beamforming is a signal processing technique. It has been studied in many areas such as radar, sonar, seismology and wireless communications, to name but a few. It can be used for a myriad of purposes, such as detecting the presence of a…

Other Computer Science · Computer Science 2012-12-27 Hidri Adel , Meddeb Souad , Abdulqadir Alaqeeli , Amiri Hamid