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Computing the Sparse Fast Fourier Transform(sFFT) of a K-sparse signal of size N has emerged as a critical topic for a long time. The sFFT algorithms decrease the runtime and sampling complexity by taking advantage of the signal inherent…

Signal Processing · Electrical Eng. & Systems 2020-12-16 Bin Li , Zhikang Jiang , Jie Chen

This paper investigates the control synthesis for continuous-time uncertain systems under nested Signal Temporal Logic (STL) specifications containing nested temporal operators. Control Barrier Functions (CBFs) are utilized herein to encode…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Yuzhang Peng , Jiaqi Yan , Wei Wang

Least-Squares Reverse-Time Migration (LSRTM) is a method that seismologists utilize to compute a high-resolution subsurface image. Nevertheless, LSRTM is a computationally demanding problem. One way to reduce the computational costs of the…

Geophysics · Physics 2025-09-12 Aydin Shoja , Joost van der Neut , Kees Wapenaar

A sensor network is considered where at each sensor a sequence of random variables is observed. At each time step, a processed version of the observations is transmitted from the sensors to a common node called the fusion center. At some…

Statistics Theory · Mathematics 2023-07-19 Taposh Banerjee , Venugopal V. Veeravalli

We address the problem of estimating time and frequency shifts of a known waveform in the presence of multiple measurement vectors (MMVs). This problem naturally arises in radar imaging and wireless communications. Specifically, a signal…

Information Theory · Computer Science 2021-03-01 Maral Safari , Sajad Daei , Farzan Haddadi

Low-rank tensor sensing is a fundamental problem with broad applications in signal processing and machine learning. Among various tensor models, low-Tucker-rank tensors are particularly attractive for capturing multi-mode subspace…

Machine Learning · Computer Science 2026-01-21 Shuang Li

Power system frequency could be captured by digital recordings and extracted to compare with a reference database for forensic time-stamp verification. It is known as the electric network frequency (ENF) criterion, enabled by the properties…

Cryptography and Security · Computer Science 2020-11-03 Guang Hua , Qingyi Wang , Dengpan Ye , Haijian Zhang

In this paper phase of a signal has been viewed from a different angle. According to this view a signal can have countably infinitely many phases, one associated with each Fourier component. In other words each frequency has a phase…

Neurons and Cognition · Quantitative Biology 2008-04-25 Kaushik Majumdar

This paper addresses the problem of deriving the asymptotic performance of adaptive Low Rank (LR) filters used in target detection embedded in a disturbance composed of a LR Gaussian noise plus a white Gaussian noise. In this context, we…

Applications · Statistics 2015-03-19 Alice Combernoux , Frederic Pascal , Guillaume Ginolhac , Marc Lesturgie

This paper presents a novel approach for the identification of linear time-periodic (LTP) systems in continuous time. This method is based on harmonic modeling and consists in converting any LTP system into an equivalent LTI system with…

Systems and Control · Electrical Eng. & Systems 2024-04-18 Flora Vernerey , Pierre Riedinger , Andrea Iannelli , Jamal Daafouz

Context: Several approaches to estimate frequency, phase and amplitude errors in time series analyses were reported in the literature, but they are either time consuming to compute, grossly overestimating the error, or are based on…

Astrophysics · Physics 2009-11-13 T. Kallinger , P. Reegen , W. W. Weiss

We propose a novel formulation for phase synchronization -- the statistical problem of jointly estimating alignment angles from noisy pairwise comparisons -- as a nonconvex optimization problem that enforces consistency among the pairwise…

Information Theory · Computer Science 2019-05-15 Tingran Gao , Zhizhen Zhao

In this work, we propose an algorithm for a filter based on the Fast Fourier Transform (FFT), which, due to its characteristics, allows for an efficient computational implementation, ease of use, and minimizes amplitude variation in the…

Numerical Analysis · Mathematics 2024-07-19 Flavio Dalossa Freire , Isabel Gebauer Soares

In this paper, we study both the direct and inverse random source problems associated with the multi-term time-fractional diffusion-wave equation driven by a fractional Brownian motion. Regarding the direct problem, the well-posedness is…

Analysis of PDEs · Mathematics 2023-11-03 Xiaoli Feng , Qiang Yao , Peijun Li , Xu Wang

We introduce a new numerical method for solving time-harmonic acoustic scattering problems. The main focus is on plane waves scattered by smoothly varying material inhomogeneities. The proposed method works for any frequency $\omega$, but…

Numerical Analysis · Mathematics 2022-01-14 Anton Arnold , Sjoerd Geevers , Ilaria Perugia , Dmitry Ponomarev

Slow feature analysis (SFA) is a new technique for extracting slowly varying features from a quickly varying signal. It is shown here that SFA can be applied to nonstationary time series to estimate a single underlying driving force with…

Statistical Mechanics · Physics 2007-05-23 Laurenz Wiskott

In this work, we propose a novel consistency-preserving loss function for recovering the phase information in the context of phase reconstruction (PR) and speech enhancement (SE). Different from conventional techniques that directly…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-25 Pin-Jui Ku , Chun-Wei Ho , Hao Yen , Sabato Marco Siniscalchi , Chin-Hui Lee

In the companion paper, we proposed a concept of signal matched whitening filter bank and developed a time and order recursive, fast least squares algorithm for the same. Objective of part II of the paper is two fold: first is to define a…

Information Theory · Computer Science 2014-09-18 Binish Fatimah , S. D. Joshi

In room acoustic environments, the Relative Transfer Functions (RTFs) are controlled by few underlying modes of variability. Accordingly, they are confined to a low-dimensional manifold. In this letter, we investigate a RTF inverse…

Sound · Computer Science 2017-10-26 Ziteng Wang , Emmanuel Vincent , Yonghong Yan

Incipient fault detection in power distribution systems is crucial to improve the reliability of the grid. However, the non-stationary nature and the inadequacy of the training dataset due to the self-recovery of the incipient fault signal,…

Signal Processing · Electrical Eng. & Systems 2023-02-21 Qiyue Li , Huan Luo , Hong Cheng , Yuxing Deng , Wei Sun , Weitao Li , Zhi Liu
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