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This paper studies the problem of support recovery of sparse signals based on multiple measurement vectors (MMV). The MMV support recovery problem is connected to the problem of decoding messages in a Single-Input Multiple-Output (SIMO)…

Information Theory · Computer Science 2011-09-12 Yuzhe Jin , Bhaskar D. Rao

The joint-sparse recovery problem aims to recover, from sets of compressed measurements, unknown sparse matrices with nonzero entries restricted to a subset of rows. This is an extension of the single-measurement-vector (SMV) problem widely…

Information Theory · Computer Science 2018-08-23 Ewout van den Berg , Michael P. Friedlander

A new sparse signal recovery algorithm for multiple-measurement vectors (MMV) problem is proposed in this paper. The sparse representation is iteratively drawn based on the idea of zero-point attracting projection (ZAP). In each iteration,…

Information Theory · Computer Science 2015-03-20 Yang You , Laming Chen , Yuantao Gu , Wei Feng , Hui Dai

The rapid developing area of compressed sensing suggests that a sparse vector lying in an arbitrary high dimensional space can be accurately recovered from only a small set of non-adaptive linear measurements. Under appropriate conditions…

Cellular Automata and Lattice Gases · Physics 2009-11-13 Moshe Mishali , Yonina C. Eldar

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

The multiple measurement vector problem (MMV) is a generalization of the compressed sensing problem that addresses the recovery of a set of jointly sparse signal vectors. One of the important contributions of this paper is to reveal that…

Information Theory · Computer Science 2016-01-20 Jong Chul Ye , Jong Min Kim , Yoram Bresler

While single measurement vector (SMV) models have been widely studied in signal processing, there is a surging interest in addressing the multiple measurement vectors (MMV) problem. In the MMV setting, more than one measurement vector is…

Signal Processing · Electrical Eng. & Systems 2018-06-15 Natalie Durgin , Rachel Grotheer , Chenxi Huang , Shuang Li , Anna Ma , Deanna Needell , Jing Qin

We study a Compressed Sensing (CS) problem known as Multiple Measurement Vectors (MMV) problem, which arises in joint estimation of multiple signal realizations when the signal samples have a common (joint) sparse support over a fixed known…

Information Theory · Computer Science 2019-01-09 Saeid Haghighatshoar , Giuseppe Caire

Frequency recovery/estimation from discrete samples of superimposed sinusoidal signals is a classic yet important problem in statistical signal processing. Its research has recently been advanced by atomic norm techniques which exploit…

Information Theory · Computer Science 2016-05-31 Zai Yang , Lihua Xie

In this report, a novel efficient algorithm for recovery of jointly sparse signals (sparse matrix) from multiple incomplete measurements has been presented, in particular, the NESTA-based MMV optimization method. In a nutshell, the jointly…

Information Theory · Computer Science 2009-05-21 Lianlin Li , Fang Li

In this paper we consider the problem of sparse signal recovery in Multiple Measurement Vectors (MMVs) case. Recently, ample researches have been conducted to solve this problem and diverse methods are proposed, one of which is deep neural…

Signal Processing · Electrical Eng. & Systems 2018-06-26 Zohreh Mohades , Vahid TabaTabaVakili

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

Compressed sensing (CS) demonstrates that sparse signals can be estimated from under-determined linear systems. Distributed CS (DCS) further reduces the number of measurements by considering joint sparsity within signal ensembles. DCS with…

Information Theory · Computer Science 2017-03-24 Junan Zhu , Dror Baron , Florent Krzakala

In this paper we revisit the sparse multiple measurement vector (MMV) problem where the aim is to recover a set of jointly sparse multichannel vectors from incomplete measurements. This problem has received increasing interest as an…

Information Theory · Computer Science 2015-03-14 Mike E. Davies , Yonina C. Eldar

In this work, a Bayesian approximate message passing algorithm is proposed for solving the multiple measurement vector (MMV) problem in compressive sensing, in which a collection of sparse signal vectors that share a common support are…

Information Theory · Computer Science 2013-01-29 Justin Ziniel , Philip Schniter

Real-world applications such as magnetic resonance imaging with multiple coils, multi-user communication, and diffuse optical tomography often assume a linear model where several sparse signals sharing common sparse supports are acquired by…

Information Theory · Computer Science 2018-10-17 Junan Zhu , Dror Baron

Multiple measurement vector (MMV) problem addresses the identification of unknown input vectors that share common sparse support. The MMV problems had been traditionally addressed either by sensor array signal processing or compressive…

Information Theory · Computer Science 2011-06-02 Jong Min Kim , Ok Kyun Lee , Jong Chul Ye

In this paper, we consider orthogonal matching pursuit (OMP) algorithm for multiple measurement vectors (MMV) problem. The robustness of OMPMMV is studied under general perturbations---when the measurement vectors as well as the sensing…

Information Theory · Computer Science 2011-09-30 Jie Ding , Laming Chen , Yuantao Gu

In this paper, we address the sparse multiple measurement vector (MMV) problem where the objective is to recover a set of sparse nonzero row vectors or indices of a signal matrix from incomplete measurements. Ideally, regardless of the…

Information Theory · Computer Science 2016-01-27 Kyung Su Kim , Sae-Young Chung

Sparse data approximation has become a popular research topic in signal processing. However, in most cases only a single measurement vector (SMV) is considered. In applications, the multiple measurement vector (MMV) case is more usual,…

Numerical Analysis · Mathematics 2017-05-24 Florian Boßmann
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