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Some Results for Exact Support Recovery of Block Joint Sparse Matrix via Block Multiple Measurement Vectors Algorithm

Some Results for Exact Support Recovery of Block Joint Sparse Matrix via Block Multiple Measurement Vectors Algorithm
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摘要 Block multiple measurement vectors (BMMV) is a reconstruction algorithm that can be used to recover the support of block K-joint sparse matrix X from Y = ΨX + V. In this paper, we propose a sufficient condition for accurate support recovery of the block K-joint sparse matrix via the BMMV algorithm in the noisy case. Furthermore, we show the optimality of the condition we proposed in the absence of noise when the problem reduces to single measurement vector case. Block multiple measurement vectors (BMMV) is a reconstruction algorithm that can be used to recover the support of block K-joint sparse matrix X from Y = ΨX + V. In this paper, we propose a sufficient condition for accurate support recovery of the block K-joint sparse matrix via the BMMV algorithm in the noisy case. Furthermore, we show the optimality of the condition we proposed in the absence of noise when the problem reduces to single measurement vector case.
作者 Yingna Pan Pingping Zhang Yingna Pan;Pingping Zhang(School of Science, Chongqing University of Posts and Telecommunications, Chongqing, China)
机构地区 School of Science
出处 《Journal of Applied Mathematics and Physics》 2023年第4期1098-1112,共15页 应用数学与应用物理(英文)
关键词 Support Recovery Compressed Sensing Block Multiple Measurement Vectors Algorithm Block Restricted Isometry Property Support Recovery Compressed Sensing Block Multiple Measurement Vectors Algorithm Block Restricted Isometry Property
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