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We study the problem of recovering sparse signals from compressed linear measurements. This problem, often referred to as sparse recovery or sparse reconstruction, has generated a great deal of interest in recent years. To recover the…

Methodology · Statistics 2016-01-01 Jian Wang , Ping Li

This paper proposes a verification-based decoding approach for reconstruction of a sparse signal with incremental sparse measurements. In its first step, the verification-based decoding algorithm is employed to reconstruct the signal with a…

Information Theory · Computer Science 2013-02-12 Xiaofu Wu , Zhen Yang , Lu Gan

In this paper, the performance of uplink spectral efficiency in massive multiple input multiple output (MIMO) over spacially correlated Ricean fading channel is presented. The maximum ratio combining (MRC) receiver is employed at the base…

Information Theory · Computer Science 2017-07-20 Juan Cao , Dongming Wang , Jiamin Li , Qiang Sun

In this paper, we develop a framework for a novel perceptive mobile/cellular network that integrates radar sensing function into the mobile communication network. We propose a unified system platform that enables downlink and uplink…

Networking and Internet Architecture · Computer Science 2019-01-18 Md. Lushanur Rahman , J. Andrew Zhang , Xiaojing Huang , Y. Jay Guo , Robert W. Heath

This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after which this version may no longer be accessible. Numerous renowned algorithms for tackling the compressed sensing problem…

Information Theory · Computer Science 2026-03-11 Xu Zhu , Yufei Ma , Xiaoguang Li , Tiejun Li

Recovery of a sparse signal from a nonlinear system arises in many practical applications including compressive sensing, image reconstruction and machine learning. In this paper, a fast block nonlinear Bregman-Kaczmarz method with averaging…

Numerical Analysis · Mathematics 2025-02-24 Aqin Xiao , Xiangyu Gao , Jun-Feng Yin

Given a set of samples, a few of them being possibly saturated, we propose an efficient algorithm in order to cancel saturation while reconstructing band-limited signals. Our method satisfies a minimum-loss constraint and relies on…

Signal Processing · Electrical Eng. & Systems 2018-09-20 Kyong Hwan Jin , Gain Kim , Yusuf Leblebici , Jong Chul Ye , Michael Unser

With fluid antenna system (FAS) gradually establishing itself as a possible enabling technology for next generation wireless communications, channel estimation for FAS has become a pressing issue. Existing methodologies however face…

Signal Processing · Electrical Eng. & Systems 2025-07-09 Zhen Chen , Jianqing Li , Xiu Yin Zhang , Kai-Kit Wong , Chan-Byoung Chae , Yangyang Zhang

This paper studies the problem of reconstructing spectrally sparse signals from a small random subset of time domain samples via low-rank Hankel matrix completion with the aid of prior information. By leveraging the low-rank structure of…

Information Theory · Computer Science 2021-05-05 Xu Zhang , Yulong Liu , Wei Cui

The channel estimation is one of important techniques to ensure reliable broadband signal transmission. Broadband channels are often modeled as a sparse channel. Comparing with traditional dense-assumption based linear channel estimation…

Information Theory · Computer Science 2014-07-24 Guan Gui , Li Xu , Fumiyuki Adachi

This paper considers the problem of reconstructing sparse or compressible signals from one-bit quantized measurements. We study a new method that uses a log-sum penalty function, also referred to as the Gaussian entropy, for sparse signal…

Information Theory · Computer Science 2012-10-17 Jun Fang , Yanning Shen , Hongbin Li

Support recovery of sparse signals from compressed linear measurements is a fundamental problem in compressed sensing (CS). In this paper, we study the orthogonal matching pursuit (OMP) algorithm for the recovery of support under noise. We…

Information Theory · Computer Science 2015-10-28 Jian Wang

In this paper, we recover sparse signals from their noisy linear measurements by solving nonlinear differential inclusions, which is based on the notion of inverse scale space (ISS) developed in applied mathematics. Our goal here is to…

Statistics Theory · Mathematics 2016-01-22 Stanley Osher , Feng Ruan , Jiechao Xiong , Yuan Yao , Wotao Yin

Due to its self-regularizing nature and its ability to quantify uncertainty, the Bayesian approach has achieved excellent recovery performance across a wide range of sparse signal recovery applications. However, most existing methods are…

Signal Processing · Electrical Eng. & Systems 2022-09-07 Zonglong Bai , Liming Shi , Jinwei Sun , Mads Græsbøll Christensen

To achieve the full passive beamforming gains of intelligent reflecting surface (IRS), accurate channel state information (CSI) is indispensable but practically challenging to acquire, due to the excessive amount of channel parameters to be…

Information Theory · Computer Science 2020-09-15 Beixiong Zheng , Changsheng You , Rui Zhang

In this paper, we present a novel Bayesian approach to recover simultaneously block sparse signals in the presence of outliers. The key advantage of our proposed method is the ability to handle non-stationary outliers, i.e. outliers which…

Computer Vision and Pattern Recognition · Computer Science 2016-05-12 Igor Fedorov , Ritwik Giri , Bhaskar D. Rao , Truong Q. Nguyen

It has been shown both experimentally and theoretically that sparse signal recovery can be significantly improved given that part of the signal's support is known \emph{a priori}. In practice, however, such prior knowledge is usually…

Information Theory · Computer Science 2014-10-21 Jun Fang , Yanning Shen , Fuwei Li , Hongbin Li

Sparsity constraints on the control inputs of a linear dynamical system naturally arise in several practical applications such as networked control, computer vision, seismic signal processing, and cyber-physical systems. In this work, we…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Rupam Kalyan Chakraborty , Geethu Joseph , Chandra R. Murthy

Energy consumption is an important issue in continuous wireless telemonitoring of physiological signals. Compressed sensing (CS) is a promising framework to address it, due to its energy-efficient data compression procedure. However, most…

Information Theory · Computer Science 2014-11-18 Zhilin Zhang , Tzyy-Ping Jung , Scott Makeig , Zhouyue Pi , Bhaskar D. Rao

Extremely large-scale multiple-input multiple-output (XL-MIMO) systems are a key technology for future wireless networks, but the large array aperture naturally creates a hybrid-field (HF) propagation regime in which far-field (FF)…

Systems and Control · Electrical Eng. & Systems 2026-02-04 David William Marques Guerra , Taufik Abrao
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