THE STABLE RECONSTRUCTION OF STRONGLY-DECAYING BLOCK SPARSE SIGNALS  

作　　者：Yifang YANG Jinping WANG 杨义芳;王金平(School of Mathematics and Statistics,Ningbo University,Ningbo,315211,China)

机构地区：[1]School of Mathematics and Statistics,Ningbo University,Ningbo,315211,China

出　　处：《Acta Mathematica Scientia》2024年第5期1787-1800,共14页数学物理学报（B辑英文版）

基　　金：supported by Natural Science Foundation of China(62071262);the K.C.Wong Magna Fund at Ningbo University.

摘　　要：In this paper,we reconstruct strongly-decaying block sparse signals by the block generalized orthogonal matching pursuit(BgOMP)algorithm in the l2-bounded noise case.Under some restraints on the minimum magnitude of the nonzero elements of the strongly-decaying block sparse signal,if the sensing matrix satisfies the the block restricted isometry property(block-RIP),then arbitrary strongly-decaying block sparse signals can be accurately and steadily reconstructed by the BgOMP algorithm in iterations.Furthermore,we conjecture that this condition is sharp.

关 键 词：compressed sensing strongly-decaying block sparse signal block generalized OMP block-RIP 

分 类 号：TN911.7[电子电信—通信与信息系统]