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Compressive sensing has been receiving a great deal of interest from researchers in many areas because of its ability in speeding up data acquisition. This framework allows fast signal acquisition and compression when signals are sparse in…

Information Theory · Computer Science 2020-03-17 Fatima Salahdine , Elias Ghribi , Naima Kaabouch

A major challenge to implement the compressed sensing method for channel state information (CSI) acquisition lies in the design of a well-performed measurement matrix to reduce the dimension of sparse channel vectors. The widely adopted…

Information Theory · Computer Science 2020-07-14 Pengxia Wu , Zichuan Liu , Julian Cheng

Compressed sensing (CS) is a valuable technique for reconstructing measurements in numerous domains. CS has not yet gained widespread adoption in scanning tunneling microscopy (STM), despite potentially offering the advantages of lower…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 Brian E. Lerner , Anayeli Flores-Garibay , Benjamin J. Lawrie , Petro Maksymovych

Exascale computing promises quantities of data too large to efficiently store and transfer across networks in order to be able to analyze and visualize the results. We investigate Compressive Sensing (CS) as a way to reduce the size of the…

Information Theory · Computer Science 2015-08-27 Maher Salloum , Nathan Fabian , David M. Hensinger , Jeremy A. Templeton

In this letter, a permutation enhanced parallel reconstruction architecture for compressive sampling is proposed. In this architecture, a measurement matrix is constructed from a block-diagonal sensing matrix and the sparsifying basis of…

Information Theory · Computer Science 2014-09-01 Hao Fang , Sergiy A. Vorobyov , Hai Jiang

Compressive Sensing (CS) theory shows that a signal can be decoded from many fewer measurements than suggested by the Nyquist sampling theory, when the signal is sparse in some domain. Most of conventional CS recovery approaches, however,…

Computer Vision and Pattern Recognition · Computer Science 2014-04-30 Jian Zhang , Debin Zhao , Feng Jiang , Wen Gao

Influence of the finite-length registers and quantization effects on the reconstruction of sparse and approximately sparse signals is analyzed in this paper. For the nonquantized measurements, the compressive sensing (CS) framework provides…

Information Theory · Computer Science 2019-07-03 Isidora Stankovic , Milos Brajovic , Milos Dakovic , Cornel Ioana , Ljubisa Stankovic

Our objective is to efficiently design a robust projection matrix $\Phi$ for the Compressive Sensing (CS) systems when applied to the signals that are not exactly sparse. The optimal projection matrix is obtained by mainly minimizing the…

Machine Learning · Computer Science 2017-09-07 Tao Hong , Zhihui Zhu

The bound that arises out of sparse recovery analysis in compressed sensing involves input signal sparsity and some property of the sensing matrix. An effort has therefore been made in the literature to optimize sensing matrices for optimal…

Information Theory · Computer Science 2017-07-12 Alankar Kotwal , Ajit Rajwade

Recent development in compressed sensing (CS) has revealed that the use of a special design of measurement matrix, namely the spatially-coupled matrix, can achieve the information-theoretic limit of CS. In this paper, we consider the…

Information Theory · Computer Science 2014-02-14 Chao-Kai Wen , Kai-Kit Wong

Many service computing applications require real-time dataset collection from multiple devices, necessitating efficient sampling techniques to reduce bandwidth and storage pressure. Compressive sensing (CS) has found wide-ranging…

Image and Video Processing · Electrical Eng. & Systems 2024-07-03 Kuiyuan Zhang , Zhongyun Hua , Yuanman Li , Yushu Zhang , Yicong Zhou

Compressed sensing (CS) is an emerging field that has attracted considerable research interest over the past few years. Previous review articles in CS limit their scope to standard discrete-to-discrete measurement architectures using…

Information Theory · Computer Science 2011-07-29 Marco F. Duarte , Yonina C. Eldar

We investigate a reconstruction limit of compressed sensing for a reconstruction scheme based on the L1-norm minimization utilizing a correlated compression matrix with a statistical mechanics method. We focus on the compression matrix…

Information Theory · Computer Science 2010-07-08 Koujin Takeda , Yoshiyuki Kabashima

Compressive Sensing (CS) stipulates that a sparse signal can be recovered from a small number of linear measurements, and that this recovery can be performed efficiently in polynomial time. The framework of model-based compressive sensing…

Information Theory · Computer Science 2015-04-22 Chinmay Hegde , Piotr Indyk , Ludwig Schmidt

Conventional compressive sensing (CS) reconstruction is very slow for its characteristic of solving an optimization problem. Convolu- tional neural network can realize fast processing while achieving compa- rable results. While CS image…

Computer Vision and Pattern Recognition · Computer Science 2017-10-04 Xuemei Xie , Yuxiang Wang , Guangming Shi , Chenye Wang , Jiang Du , Zhifu Zhao

Optimal sensor placement is a central challenge in the design, prediction, estimation, and control of high-dimensional systems. High-dimensional states can often leverage a latent low-dimensional representation, and this inherent…

Optimization and Control · Mathematics 2020-05-18 Krithika Manohar , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

The class of Fourier matrices is of special importance in compressed sensing (CS). This paper concerns deterministic construction of compressed sensing matrices from Fourier matrices. By using Katz' character sum estimation, we are able to…

Information Theory · Computer Science 2013-01-04 Guangwu Xu , Zhiqiang Xu

Compressive Sensing, as an emerging technique in signal processing is reviewed in this paper together with its common applications. As an alternative to the traditional signal sampling, Compressive Sensing allows a new acquisition strategy…

Information Theory · Computer Science 2017-05-16 Andjela Draganic , Irena Orovic , Srdjan Stankovic

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. In this paper we address the application of CS to the scenario of progressive acquisition of 2D visual…

Information Theory · Computer Science 2014-03-06 Giulio Coluccia , Enrico Magli

We consider a class of optimization problems for sparse signal reconstruction which arise in the field of Compressed Sensing (CS). A plethora of approaches and solvers exist for such problems, for example GPSR, FPC AS, SPGL1, NestA,…

Optimization and Control · Mathematics 2013-11-19 Kimon Fountoulakis , Jacek Gondzio , Pavel Zhlobich
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