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We consider the problem of recursively reconstructing time sequences of sparse signals (with unknown and time-varying sparsity patterns) from a limited number of linear incoherent measurements with additive noise. The idea of our proposed…

Information Theory · Computer Science 2010-03-25 Namrata Vaswani

We survey a new paradigm in signal processing known as "compressive sensing". Contrary to old practices of data acquisition and reconstruction based on the Shannon-Nyquist sampling principle, the new theory shows that it is possible to…

History and Overview · Mathematics 2009-03-13 Olga Holtz

We consider the problem of robust compressed sensing whose objective is to recover a high-dimensional sparse signal from compressed measurements corrupted by outliers. A new sparse Bayesian learning method is developed for robust compressed…

Machine Learning · Statistics 2016-10-24 Qian Wan , Huiping Duan , Jun Fang , Hongbin Li

Compressed sensing with sparse frame representations is seen to have much greater range of practical applications than that with orthonormal bases. In such settings, one approach to recover the signal is known as $\ell_1$-analysis. We…

Information Theory · Computer Science 2015-03-19 Yulong Liu , Tiebin Mi , Shidong Li

Compressed Sensing (CS) facilitates rapid image acquisition by selecting a small subset of measurements sufficient for high-fidelity reconstruction. Adaptive CS seeks to further enhance this process by dynamically choosing future…

Image and Video Processing · Electrical Eng. & Systems 2024-07-12 Noam Elata , Tomer Michaeli , Michael Elad

A new line of research uses compression methods to measure the similarity between signals. Two signals are considered similar if one can be compressed significantly when the information of the other is known. The existing compression-based…

Computer Vision and Pattern Recognition · Computer Science 2019-09-30 Tanaya Guha , Rabab K. Ward

Compressive sensing achieves effective dimensionality reduction of signals, under a sparsity constraint, by means of a small number of random measurements acquired through a sensing matrix. In a signal processing system, the problem arises…

Information Theory · Computer Science 2014-03-13 Diego Valsesia , Enrico Magli

Explicit channel state information at the transmitter side is helpful to improve downlink precoding performance for multi-user MIMO systems. In order to reduce feedback signalling overhead, compression of Channel State Information (CSI) is…

Signal Processing · Electrical Eng. & Systems 2021-10-13 Benedikt Groß , Rana Ahmed Salem , Thorsten Wild , Gerhard Wunder

Compressed sensing (CS) involves sampling signals at rates less than their Nyquist rates and attempting to reconstruct them after sample acquisition. Most such algorithms have parameters, for example the regularization parameter in LASSO,…

Information Theory · Computer Science 2021-02-23 Chinmay Gurjarpadhye , Shubhang Bhatnagar , Ajit Rajwade

Large-scale data collection by means of wireless sensor network and internet-of-things technology poses various challenges in view of the limitations in transmission, computation, and energy resources of the associated wireless devices.…

Signal Processing · Electrical Eng. & Systems 2017-09-25 Nikos Deligiannis , João F. C. Mota , Evangelos Zimos , Miguel R. D. Rodrigues

Mechanical vibration monitoring often requires high sampling rates and generates large data volumes, posing challenges for storage, transmission, and power efficiency. Compressive Sensing (CS) offers a promising approach to overcome these…

Signal Processing · Electrical Eng. & Systems 2026-03-27 Imen Tounsi , Fadi Karkafi , Mohammed El Badaoui , François Guillet

Recent research has shown that performance in signal processing tasks can often be significantly improved by using signal models based on sparse representations, where a signal is approximated using a small number of elements from a fixed…

Optimization and Control · Mathematics 2011-11-18 Adam S. Charles , Pierre Garrigues , Christopher J. Rozell

Optimal sensor placement is a central challenge in the design, prediction, estimation, and control of high-dimensional systems. High-dimensional states can often leverage a latent low-dimensional representation, and this inherent…

Optimization and Control · Mathematics 2020-05-18 Krithika Manohar , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

We present an information-theoretic framework for sequential adaptive compressed sensing, Info-Greedy Sensing, where measurements are chosen to maximize the extracted information conditioned on the previous measurements. We show that the…

Information Theory · Computer Science 2023-07-19 Gabor Braun , Sebastian Pokutta , Yao Xie

With the development of numbers of high resolution data acquisition systems and the global requirement to lower the energy consumption, the development of efficient sensing techniques becomes critical. Recently, Compressed Sampling (CS)…

Information Theory · Computer Science 2015-06-11 Mohammad Golbabaee , Simon Arberet , Pierre Vandergheynst

We propose to reduce the original well-posed problem of compressive sensing to weighted-MAX-SAT. Compressive sensing is a novel randomized data acquisition approach that linearly samples sparse or compressible signals at a rate much below…

Information Theory · Computer Science 2019-05-28 Ramin Ayanzadeh , Milton Halem , Tim Finin

This paper proposes a simple adaptive sensing and group testing algorithm for sparse signal recovery. The algorithm, termed Compressive Adaptive Sense and Search (CASS), is shown to be near-optimal in that it succeeds at the lowest possible…

Information Theory · Computer Science 2014-04-30 Matthew L. Malloy , Robert D. Nowak

This article seeks to advance coded compressed sensing (CCS) as a practical scheme for unsourced random access. The original CCS algorithm features a concatenated structure where an inner code is tasked with support recovery, and an outer…

Information Theory · Computer Science 2020-10-23 Jamison R. Ebert , Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

In this survey paper, our goal is to discuss recent advances of compressive sensing (CS) based solutions in wireless sensor networks (WSNs) including the main ongoing/recent research efforts, challenges and research trends in this area. In…

Signal Processing · Electrical Eng. & Systems 2019-01-23 Thakshila Wimalajeewa , Pramod K. Varshney

Compressed sensing (CS) is a valuable technique for reconstructing measurements in numerous domains. CS has not yet gained widespread adoption in scanning tunneling microscopy (STM), despite potentially offering the advantages of lower…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 Brian E. Lerner , Anayeli Flores-Garibay , Benjamin J. Lawrie , Petro Maksymovych
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