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Compressed sensing has a wide range of applications that include error correction, imaging, radar and many more. Given a sparse signal in a high dimensional space, one wishes to reconstruct that signal accurately and efficiently from a…

数值分析 · 数学 2009-05-28 Deanna Needell

Greedy algorithm are in widespread use for sparse recovery because of its efficiency. But some evident flaws exists in most popular greedy algorithms, such as CoSaMP, which includes unreasonable demands on prior knowledge of target signal…

信息论 · 计算机科学 2009-08-18 Hao Zhang , Gang Li , Huadong Meng

In this work we address the problem of recovering sparse solutions to non linear inverse problems. We look at two variants of the basic problem, the synthesis prior problem when the solution is sparse and the analysis prior problem where…

信息论 · 计算机科学 2015-12-25 Kavya Gupta , Ankita Raj , Angshul Majumdar

We study here sparse recovery problems in the presence of additive noise. We analyze a thresholding version of the CoSaMP algorithm, named Thresholding Greedy Pursuit (TGP). We demonstrate that an appropriate choice of thresholding…

信号处理 · 电气工程与系统科学 2021-03-23 Hai Le , Alexei Novikov

This paper addresses compressive sensing for multi-channel ECG. Compared to the traditional sparse signal recovery approach which decomposes the signal into the product of a dictionary and a sparse vector, the recently developed cosparse…

信息论 · 计算机科学 2013-11-21 Yurrit Avonds , Yipeng Liu , Sabine Van Huffel

A major enterprise in compressed sensing and sparse approximation is the design and analysis of computationally tractable algorithms for recovering sparse, exact or approximate, solutions of underdetermined linear systems of equations. Many…

信息论 · 计算机科学 2010-04-13 Jeffrey D. Blanchard , Coralia Cartis , Jared Tanner , Andrew Thompson

Sparse signal recovery deals with finding the sparsest solution of an under-determined linear system $\vx = \mQ\vs$. In this paper, we propose a novel greedy approach to addressing the challenges from such a problem. Such an approach is…

信息论 · 计算机科学 2026-04-09 Gang Li , Qiuwei Li , Shuang Li , Wu Angela Li

Wideband wireless channel is a time dispersive channel and becomes strongly frequency-selective. However, in most cases, the channel is composed of a few dominant taps and a large part of taps is approximately zero or zero. To exploit the…

信息论 · 计算机科学 2010-05-14 Guan Gui , Qun Wan , Wei Peng , Fumiyuki Adachi

The cosparse analysis model has been introduced recently as an interesting alternative to the standard sparse synthesis approach. A prominent question brought up by this new construction is the analysis pursuit problem -- the need to find a…

泛函分析 · 数学 2014-01-06 Raja Giryes , Sangnam Nam , Michael Elad , Rémi Gribonval , Mike E. Davies

Remarkable properties of Compressed sensing (CS) has led researchers to utilize it in various other fields where a solution to an underdetermined system of linear equations is needed. One such application is in the area of array signal…

信息论 · 计算机科学 2018-01-26 Abhishek Aich , P. Palanisamy

The idea that signals reside in a union of low dimensional subspaces subsumes many low dimensional models that have been used extensively in the recent decade in many fields and applications. Until recently, the vast majority of works have…

数值分析 · 数学 2019-11-26 Tom Tirer , Raja Giryes

As a greedy algorithm to recover sparse signals from compressed measurements, orthogonal matching pursuit (OMP) algorithm has received much attention in recent years. In this paper, we introduce an extension of the OMP for pursuing…

信息论 · 计算机科学 2014-04-01 Jian Wang , Seokbeop Kwon , Byonghyo Shim

This paper addresses the reconstruction of sparse signals from generalized linear measurements. Signal sparsity is assumed to be sublinear in the signal dimension while it was proportional to the signal dimension in conventional research.…

信息论 · 计算机科学 2026-04-13 Keigo Takeuchi

Hyperspectral Imaging (HSI) is used in a wide range of applications such as remote sensing, yet the transmission of the HS images by communication data links becomes challenging due to the large number of spectral bands that the HS images…

计算机视觉与模式识别 · 计算机科学 2024-01-29 Jon Alvarez Justo , Milica Orlandic

Greedy algorithms for minimizing L0-norm of sparse decomposition have profound application impact on many signal processing problems. In the sparse coding setup, given the observations $\mathrm{y}$ and the redundant dictionary…

数值分析 · 计算机科学 2015-02-13 Yuanyi Xue , Yao Wang

The sparsity in levels model recently inspired a new generation of effective acquisition and reconstruction modalities for compressive imaging. Moreover, it naturally arises in various areas of signal processing such as parallel…

信息论 · 计算机科学 2021-07-07 Ben Adcock , Simone Brugiapaglia , Matthew King-Roskamp

Compressive sampling (CoSa) is a new methodology which demonstrates that sparse signals can be recovered from a small number of linear measurements. Greedy algorithms like CoSaMP have been designed for this recovery, and variants of these…

数值分析 · 数学 2014-07-28 Raja Giryes , Deanna Needell

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…

信息论 · 计算机科学 2026-03-11 Xu Zhu , Yufei Ma , Xiaoguang Li , Tiejun Li

A reliable support detection is essential for a greedy algorithm to reconstruct a sparse signal accurately from compressed and noisy measurements. This paper proposes a novel support detection method for greedy algorithms, which is referred…

信息论 · 计算机科学 2016-08-24 Namyoon Lee

It has been found that radar returns of extended targets are not only sparse but also exhibit a tendency to cluster into randomly located, variable sized groups. However, the standard techniques of Compressive Sensing as applied in radar…

信息论 · 计算机科学 2014-11-17 Sanghamitra Dutta , Arijit De
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