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We analyze the asymptotic performance of sparse signal recovery from noisy measurements. In particular, we generalize some of the existing results for the Gaussian case to subgaussian and other ensembles. An achievable result is presented…

Information Theory · Computer Science 2009-04-30 Paul Tune , Sibiraj Bhaskaran Pillai , Stephen Hanly

Compressed sensing (CS) is a signal processing technique that enables the efficient recovery of a sparse high-dimensional signal from low-dimensional measurements. In the multiple measurement vector (MMV) framework, a set of signals with…

Signal Processing · Electrical Eng. & Systems 2022-06-08 Pavan K. Kota , Daniel LeJeune , Rebekah A. Drezek , Richard G. Baraniuk

Motivated by applications in unsourced random access, this paper develops a novel scheme for the problem of compressed sensing of binary signals. In this problem, the goal is to design a sensing matrix $A$ and a recovery algorithm, such…

Information Theory · Computer Science 2021-09-21 Elad Romanov , Or Ordentlich

Applying compressive sensing (CS) allows for sub-Nyquist sampling in several application areas in 5G and beyond. This reduces the associated training, feedback, and computation overheads in many applications. However, the applicability of…

Signal Processing · Electrical Eng. & Systems 2020-12-21 Mahmoud Nazzal , Mehmet Ali Aygul , Huseyin Arslan

This paper addresses the problem of simultaneous signal recovery and dictionary learning based on compressive measurements. Multiple signals are analyzed jointly, with multiple sensing matrices, under the assumption that the unknown signals…

Information Theory · Computer Science 2015-03-19 Jorge Silva , Minhua Chen , Yonina C. Eldar , Guillermo Sapiro , Lawrence Carin

Compressed sensing is a technique to sample compressible signals below the Nyquist rate, whilst still allowing near optimal reconstruction of the signal. In this paper we present a theoretical analysis of the iterative hard thresholding…

Information Theory · Computer Science 2008-05-06 Thomas Blumensath , Mike E. Davies

This paper proposes a compressed sensing (CS) framework for the acquisition and reconstruction of frequency-sparse signals with chaotic dynamical systems. The sparse signal is acting as an excitation term of a discrete-time chaotic system…

Information Theory · Computer Science 2016-12-21 Zhong Liu , Shengyao Chen , Feng Xi

Compressed sensing is a signal processing scheme that reconstructs high-dimensional sparse signals from a limited number of observations. In recent years, various problems involving signals with a finite number of discrete values have been…

Statistical Mechanics · Physics 2024-08-20 Mikiya Doi , Masayuki Ohzeki

Recent results in compressed sensing showed that the optimal subsampling strategy should take into account the sparsity pattern of the signal at hand. This oracle-like knowledge, even though desirable, nevertheless remains elusive in most…

Information Theory · Computer Science 2023-06-28 Simon Ruetz

The integration of compressive sensing with real-time embedded systems opens new possibilities for efficient, low-power biomedical signal acquisition. This paper presents a custom hardware platform based on the RP2350 micro-controller,…

Systems and Control · Electrical Eng. & Systems 2025-07-11 Rens Baeyens , Dennis Laurijssen , Jan Steckel , Walter Daems

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

Methodology · Statistics 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

This letter proposes a low-computational Bayesian algorithm for noisy sparse recovery in the context of one bit compressed sensing with sensing matrix perturbation. The proposed algorithm which is called BHT-MLE comprises a sparse support…

Machine Learning · Statistics 2015-11-19 H. Zayyani , M. Korki , F. Marvasti

Signal recovery is one of the key techniques of Compressive sensing (CS). It reconstructs the original signal from the linear sub-Nyquist measurements. Classical methods exploit the sparsity in one domain to formulate the L0 norm…

Information Theory · Computer Science 2012-06-05 Yipeng Liu , Ivan Gligorijevic , Vladimir Matic , Maarten De Vos , Sabine Van Huffel

For many practical applications in wireless communications, we need to recover a structured sparse signal from a linear observation model with dynamic grid parameters in the sensing matrix. Conventional expectation maximization (EM)-based…

Signal Processing · Electrical Eng. & Systems 2023-11-14 Wenkang Xu , An Liu , Bingpeng Zhou , Minjian Zhao

In this work, we consider compressed sensing reconstruction from $M$ measurements of $K$-sparse structured signals which do not possess a writable correlation model. Assuming that a generative statistical model, such as a Boltzmann machine,…

Information Theory · Computer Science 2017-03-24 Eric W. Tramel , Andre Manoel , Francesco Caltagirone , Marylou Gabrié , Florent Krzakala

Multipath time-delay estimation is commonly encountered in radar and sonar signal processing. In some real-life environments, impulse noise is ubiquitous and significantly degrades estimation performance. Here, we propose a Bayesian…

Signal Processing · Electrical Eng. & Systems 2023-08-16 Xingyu Ji , Lei Cheng , Hangfang Zhao

Objective: Sparse Bayesian learning provides an effective scheme to solve the high-dimensional problem in brain signal decoding. However, traditional assumptions regarding data distributions such as Gaussian and binomial are potentially…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Yuanhao Li , Badong Chen , Wenjun Bai , Yasuharu Koike , Okito Yamashita

Compressive sensing (CS) has been studied and applied in structural health monitoring for wireless data acquisition and transmission, structural modal identification, and spare damage identification. The key issue in CS is finding the…

Signal Processing · Electrical Eng. & Systems 2019-03-25 Yuequan Bao , Zhiyi Tang , Hui Li

Compressed sensing in MRI enables high subsampling factors while maintaining diagnostic image quality. This technique enables shortened scan durations and/or improved image resolution. Further, compressed sensing can increase the diagnostic…

Image and Video Processing · Electrical Eng. & Systems 2019-03-20 Joseph Y. Cheng , Feiyu Chen , Christopher Sandino , Morteza Mardani , John M. Pauly , Shreyas S. Vasanawala

Many interesting problems in fields ranging from telecommunications to computational biology can be formalized in terms of large underdetermined systems of linear equations with additional constraints or regularizers. One of the most…

Machine Learning · Statistics 2019-08-06 Alfredo Braunstein , Anna Paola Muntoni , Andrea Pagnani , Mirko Pieropan