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Recent results from compressive sampling (CS) have demonstrated that accurate reconstruction of sparse signals often requires far fewer samples than suggested by the classical Nyquist--Shannon sampling theorem. Typically, signal…

流体动力学 · 物理学 2014-04-24 Gudmundur F. Adalsteinsson , Nicholas K. -R. Kevlahan

The realisation of sensing modalities based on the principles of compressed sensing is often hindered by discrepancies between the mathematical model of its sensing operator, which is necessary during signal recovery, and its actual…

信息论 · 计算机科学 2018-02-21 Valerio Cambareri , Amirafshar Moshtaghpour , Laurent Jacques

Exploiting intrinsic structures in sparse signals underpins the recent progress in compressive sensing (CS). The key for exploiting such structures is to achieve two desirable properties: generality (\ie, the ability to fit a wide range of…

信号处理 · 电气工程与系统科学 2018-12-26 Suwichaya Suwanwimolkul , Lei Zhang , Dong Gong , Zhen Zhang , Chao Chen , Damith C. Ranasinghe , Qinfeng Shi

The application of compressive sensing (CS) to structural health monitoring is an emerging research topic. The basic idea in CS is to use a specially-designed wireless sensor to sample signals that are sparse in some basis (e.g. wavelet…

应用统计 · 统计学 2015-03-31 Yong Huang , James L. Beck , Stephen Wu , Hui Li

Compressive sensing is a methodology for the reconstruction of sparse or compressible signals using far fewer samples than required by the Nyquist criterion. However, many of the results in compressive sensing concern random sampling…

数值分析 · 数学 2014-04-02 Guangliang Chen , Atul Divekar , Deanna Needell

In the area of near-field millimeter-wave imaging, the generalized sparse array synthesis (SAS) method is in great demand. The traditional methods usually employ the greedy algorithms, which may have the convergence problem. This paper…

信号处理 · 电气工程与系统科学 2022-08-10 Shuoguang Wang , Shiyong Li , Ahmad Hoorfar , Ke Miao , Guoqiang Zhao , Houjun Sun

This paper exploits recent developments in compressive sensing (CS) to efficiently perform the direction finding via amplitude comprarison. The new method is proposed based on unimodal characteristic of antenna pattern and sparse property…

信息论 · 计算机科学 2010-06-25 Ruiming Yang , Yipeng Liu , Qun Wan , Wanlin Yang

It is a survey on recent results in constructive sparse approximation. Three directions are discussed here: (1) Lebesgue-type inequalities for greedy algorithms with respect to a special class of dictionaries, (2) constructive sparse…

数值分析 · 数学 2015-11-06 Vladimir Temlyakov

Compressed sensing is a theory which guarantees the exact recovery of sparse signals from a small number of linear projections. The sampling schemes suggested by current compressed sensing theories are often of little practical relevance…

信息论 · 计算机科学 2014-07-22 Jérémie Bigot , Claire Boyer , Pierre Weiss

Spectrum sensing is an important process in cognitive radio. A number of sensing techniques that have been proposed suffer from high processing time, hardware cost and computational complexity. To address these problems, compressive sensing…

信号处理 · 电气工程与系统科学 2018-01-31 Youness Arjoune , Naima Kaabouch , Hassan El Ghazi , Ahmed Tamtaoui

Sparse approximation is important in many applications because of concise form of an approximant and good accuracy guarantees. The theory of compressed sensing, which proved to be very useful in the image processing and data sciences, is…

数值分析 · 数学 2025-02-20 V. Temlyakov

In this paper, we consider the problem of collaboratively estimating the sparsity pattern of a sparse signal with multiple measurement data in distributed networks. We assume that each node makes Compressive Sensing (CS) based measurements…

信息论 · 计算机科学 2012-11-29 Thakshila Wimalajeewa , Pramod K. Varshney

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

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…

信息论 · 计算机科学 2018-06-25 Yicong He , Fei Wang , Shiyuan Wang , Badong Chen

We propose a new iterative greedy algorithm for reconstructions of sparse signals with or without noisy perturbations in compressed sensing. The proposed algorithm, called \emph{subspace thresholding pursuit} (STP) in this paper, is a…

信息论 · 计算机科学 2014-05-22 Chao-Bing Song , Shu-Tao Xia , Xin-Ji Liu

Compressive Sensing (CS) exploits the surprising fact that the information contained in a sparse signal can be preserved in a small number of compressive, often random linear measurements of that signal. Strong theoretical guarantees have…

信息论 · 计算机科学 2014-05-02 Armin Eftekhari , Michael B. Wakin

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…

应用统计 · 统计学 2012-06-20 Sooraj K. Ambat , Saikat Chatterjee , K. V. S. Hari

For compressed sensing over arbitrarily connected networks, we consider the problem of estimating underlying sparse signals in a distributed manner. We introduce a new signal model that helps to describe inter-signal correlation among…

信息论 · 计算机科学 2013-10-29 Dennis Sundman , Saikat Chatterjee , Mikael Skoglund

We consider the recovery of an underlying signal x \in C^m based on projection measurements of the form y=Mx+w, where y \in C^l and w is measurement noise; we are interested in the case l < m. It is assumed that the signal model p(x) is…

信息论 · 计算机科学 2016-11-17 William R. Carson , Minhua Chen , Miguel R. D. Rodrigues , Robert Calderbank , Lawrence Carin

Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

信息论 · 计算机科学 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut