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In compressed sensing (CS), sparse signals can be reconstructed from significantly fewer samples than required by the Nyquist-Shannon sampling theorem. While non-sparse signals can be sparsely represented in appropriate transformation…

Information Theory · Computer Science 2026-03-13 Qi Qi , Abdelhamid Tayebi , Daizhan Cheng , Jun-e Feng

Doubly selective (DS) channel estimation in largescale multiple-input multiple-output (MIMO) systems is a challenging problem due to the requirement of unaffordable pilot overheads and prohibitive complexity. In this paper, we propose a…

Information Theory · Computer Science 2015-11-10 Bo Gong , Qibo Qin , Xiang Ren , Lin Gui , Hanwen Luo , Wen Chen

Compressive sensing (CS) is a new methodology to capture signals at lower rate than the Nyquist sampling rate when the signals are sparse or sparse in some domain. The performance of CS estimators is analyzed in this paper using tools from…

Information Theory · Computer Science 2014-09-09 Solomon A. Tesfamicael , Bruhtesfa E. Godana , Faraz Barzideh

Wideband spectrum sensing is a critical component of a functioning cognitive radio system. Its major challenge is the too high sampling rate requirement. Compressive sensing (CS) promises to be able to deal with it. Nearly all the current…

Information Theory · Computer Science 2011-06-21 Yipeng Liu , Qun Wan

A field known as Compressive Sensing (CS) has recently emerged to help address the growing challenges of capturing and processing high-dimensional signals and data sets. CS exploits the surprising fact that the information contained in a…

Machine Learning · Statistics 2010-02-08 Michael B. Wakin

In a multiple measurement vector problem (MMV), where multiple signals share a common sparse support and are sampled by a common sensing matrix, we can expect joint sparsity to enable a further reduction in the number of required…

Information Theory · Computer Science 2015-06-03 Jong Min Kim , Ok Kyun Lee , Jong Chul Ye

Compressive sensing (CS) is a data acquisition technique that measures sparse or compressible signals at a sampling rate lower than their Nyquist rate. Results show that sparse signals can be reconstructed using greedy algorithms, often…

Information Theory · Computer Science 2016-02-23 Jinye Zhang , Laming Chen , Petros T. Boufounos , Yuantao Gu

Snapshot compressed sensing (CS) refers to compressive imaging systems in which multiple frames are mapped into a single measurement frame. Each pixel in the acquired frame is a noisy linear mapping of the corresponding pixels in the frames…

Information Theory · Computer Science 2019-04-30 Shirin Jalali , Xin Yuan

Compressed Sensing (CS) is a novel technique for simultaneous signal sampling and compression based on the existence of a sparse representation of signal and a projected dictionary $PD$, where $P\in\mathbb{R}^{m\times d}$ is the projection…

Information Theory · Computer Science 2018-04-25 Canyi Lu , Huan Li , Zhouchen Lin

Compressed Sensing (CS) is an effective approach to reduce the required number of samples for reconstructing a sparse signal in an a priori basis, but may suffer severely from the issue of basis mismatch. In this paper we study the problem…

Information Theory · Computer Science 2014-02-04 Yuejie Chi

We present a computationally-efficient method for recovering sparse signals from a series of noisy observations, known as the problem of compressed sensing (CS). CS theory requires solving a convex constrained minimization problem. We…

Information Theory · Computer Science 2010-06-22 Avishy Carmi , Pini Gurfil

This paper proposes a compressed sensing (CS) framework for the acquisition and reconstruction of frequency-sparse signals with chaotic dynamical systems. The sparse signal is acting as an excitation term of a discrete-time chaotic system…

Information Theory · Computer Science 2016-12-21 Zhong Liu , Shengyao Chen , Feng Xi

Recent breakthrough results in compressive sensing (CS) have established that many high dimensional signals can be accurately recovered from a relatively small number of non-adaptive linear observations, provided that the signals possess a…

Information Theory · Computer Science 2013-10-17 Akshay Soni , Jarvis Haupt

In this paper, we design and analyze distributed vector quantization (VQ) for compressed measurements of correlated sparse sources over noisy channels. Inspired by the framework of compressed sensing (CS) for acquiring compressed…

Information Theory · Computer Science 2015-07-28 Amirpasha Shirazinia , Saikat Chatterjee , Mikael Skoglund

In future wireless networks, one fundamental challenge for massive machine-type communications (mMTC) lies in the reliable support of massive connectivity with low latency. Against this background, this paper proposes a compressive sensing…

Information Theory · Computer Science 2018-09-13 Malong Ke , Zhen Gao , Yongpeng Wu , Xiangming Meng

Compressed Sensing (CS) is an appealing framework for applications such as Magnetic Resonance Imaging (MRI). However, up-to-date, the sensing schemes suggested by CS theories are made of random isolated measurements, which are usually…

Information Theory · Computer Science 2016-06-14 Claire Boyer , Jérémie Bigot , Pierre Weiss

Compressed sensing (CS) involves sampling signals at rates less than their Nyquist rates and attempting to reconstruct them after sample acquisition. Most such algorithms have parameters, for example the regularization parameter in LASSO,…

Information Theory · Computer Science 2021-02-23 Chinmay Gurjarpadhye , Shubhang Bhatnagar , Ajit Rajwade

Sparse representation of a single measurement vector (SMV) has been explored in a variety of compressive sensing applications. Recently, SMV models have been extended to solve multiple measurement vectors (MMV) problems, where the…

Optimization and Control · Mathematics 2020-08-25 Jing Qin , Shuang Li , Deanna Needell , Anna Ma , Rachel Grotheer , Chenxi Huang , Natalie Durgin

We propose a novel sparsity model for distributed compressed sensing in the multiple measurement vectors (MMV) setting. Our model extends the concept of row-sparsity to allow more general types of structured sparsity arising in a variety of…

Numerical Analysis · Mathematics 2022-01-03 Florian Boßmann , Sara Krause-Solberg , Johannes Maly , Nada Sissouno

Simultaneous sparse approximation is a generalization of the standard sparse approximation, for simultaneously representing a set of signals using a common sparsity model. Generalizing the compressive sensing concept to the simultaneous…

Information Theory · Computer Science 2018-09-18 Arash Golibagh Mahyari , Selin Aviyente