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Greedy Pursuits are very popular in Compressed Sensing for sparse signal recovery. Though many of the Greedy Pursuits possess elegant theoretical guarantees for performance, it is well known that their performance depends on the statistical…

Applications · Statistics 2012-06-20 Sooraj K. Ambat , Saikat Chatterjee , K. V. S. Hari

Wireless sensor networks are often designed to perform two tasks: sensing a physical field and transmitting the data to end-users. A crucial aspect of the design of a WSN is the minimization of the overall energy consumption. Previous…

Information Theory · Computer Science 2014-01-07 Zichong Chen , Juri Ranieri , Runwei Zhang , Martin Vetterli

We develop a framework that we call compressive rate estimation. We assume that the composite channel gain matrix (i.e. the matrix of all channel gains between all network nodes) is compressible which means it can be approximated by a…

Information Theory · Computer Science 2015-04-29 Jan Schreck , Peter Jung , Sławomir Stańczak

In the context of the compressed sensing problem, we propose a new ensemble of sparse random matrices which allow one (i) to acquire and compress a {\rho}0-sparse signal of length N in a time linear in N and (ii) to perfectly recover the…

Information Theory · Computer Science 2013-04-15 Maria Chiara Angelini , Federico Ricci-Tersenghi , Yoshiyuki Kabashima

This is the second part of a two-part paper that studies the problem of jamming in a fixed-rate transmission system with fading. In the first part, we studied the scenario with a fast fading channel, and found Nash equilibria of mixed…

Information Theory · Computer Science 2008-08-27 George T. Amariucai , Shuangqing Wei , Rajgopal Kannan

Envisioned as the next-generation transceiver technology, the holographic multiple-input-multiple-output (HMIMO) garners attention for its superior capabilities of fabricating electromagnetic (EM) waves. However, the densely packed antenna…

Information Theory · Computer Science 2024-06-05 Yuqing Guo , Xufeng Guo , Yuanbin Chen , Ying Wang

This article considers recovery of signals that are sparse or approximately sparse in terms of a (possibly) highly overcomplete and coherent tight frame from undersampled data corrupted with additive noise. We show that the properly…

Information Theory · Computer Science 2013-09-10 Junhong Lin , Song Li

In many applications in compressed sensing, the measurement matrix is a Fourier matrix, i.e., it measures the Fourier transform of the underlying signal at some specified `base' frequencies $\{u_i\}_{i=1}^M$, where $M$ is the number of…

Information Theory · Computer Science 2018-02-09 Eeshan Malhotra , Himanshu Pandotra , Ajit Rajwade , Karthik S. Gurumoorthy

Many practical sensing applications involve multiple sensors simultaneously acquiring measurements of a single object. Conversely, most existing sparse recovery guarantees in compressed sensing concern only single-sensor acquisition…

Information Theory · Computer Science 2023-08-31 Il Yong Chun , Ben Adcock

Compressive sensing(CS) has drawn much attention in recent years due to its low sampling rate as well as high recovery accuracy. As an important procedure, reconstructing a sparse signal from few measurement data has been intensively…

Information Theory · Computer Science 2018-06-25 Yicong He , Fei Wang , Shiyuan Wang , Badong Chen

We address the problem of joint sparsity pattern recovery based on low dimensional multiple measurement vectors (MMVs) in resource constrained distributed networks. We assume that distributed nodes observe sparse signals which share the…

Information Theory · Computer Science 2015-06-16 Thankshila Wimalajeewa , Pramod K. Varshney

Wireless sensor networks (WSN), i.e. networks of autonomous, wireless sensing nodes spatially deployed over a geographical area, are often faced with acquisition of spatially sparse fields. In this paper, we present a novel bandwidth/energy…

Information Theory · Computer Science 2014-05-27 Stefania Colonnese , Roberto Cusani , Stefano Rinauro , Giorgia Ruggiero , Gaetano Scarano

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

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

We consider the problem of exact support recovery of sparse signals via noisy measurements. The main focus is the sufficient and necessary conditions on the number of measurements for support recovery to be reliable. By drawing an analogy…

Information Theory · Computer Science 2010-03-04 Yuzhe Jin , Young-Han Kim , Bhaskar D. Rao

Considerable efforts have been devoted to statistical modeling and the characterization of channels in a range of statistical models for fading channels. In this paper, we consider a unified approach to model wireless channels by the…

Information Theory · Computer Science 2016-11-15 Bassant Selim , Omar Alhussein , Sami Muhaidat , George K. Karagiannidis , Jie Liang

We study the problem of recovering an $s$-sparse signal $\mathbf{x}^{\star}\in\mathbb{C}^n$ from corrupted measurements $\mathbf{y} = \mathbf{A}\mathbf{x}^{\star}+\mathbf{z}^{\star}+\mathbf{w}$, where $\mathbf{z}^{\star}\in\mathbb{C}^m$ is…

Information Theory · Computer Science 2018-04-04 Peng Zhang , Lu Gan , Cong Ling , Sumei Sun

Wireless communications is often subject to channel fading. Various statistical models have been proposed to capture the inherent randomness in fading, and conventional model-based receiver designs rely on accurate knowledge of this…

Information Theory · Computer Science 2021-03-30 Mahdi Boloursaz Mashhadi , Nir Shlezinger , Yonina C. Eldar , Deniz Gunduz

Mismatches between samples and their respective channel or target commonly arise in several real-world applications. For instance, whole-brain calcium imaging of freely moving organisms, multiple-target tracking or multi-person contactless…

Signal Processing · Electrical Eng. & Systems 2023-07-25 Taulant Koka , Manolis C. Tsakiris , Michael Muma , Benjamín Béjar Haro

Accurate channel state information (CSI) is necessary for coherent detection in amplify and forward (AF) broadband cooperative communication systems. Based on the assumption of ordinary sparse channel, efficient sparse channel estimation…

Information Theory · Computer Science 2012-07-31 Guan Gui , Wei Peng