Sparse signal recovery with OMP algorithm using sensing measurement matrix

IEICE Electronics Express

Abolfazl Mehbodniya¹  Fumiyuki Adachi¹  Qun Wan²  Guan Gui² 

[1] Department of Electrical and Communication Engineering, Graduate School of Engineering, Tohoku University;Department of Electronic Engineering, University of Electronic Science and Technology of China

关键词: orthogonal matching pursuit (OMP);    mutual incoherent property (MIP);    sparse signal recovery;    compressed sensing (CS);    sensing measurement matrxi (SMM);   

DOI  :  10.1587/elex.8.285

学科分类：电子、光学、磁材料

来源: Denshi Jouhou Tsuushin Gakkai

【 摘 要 】

References(9)Cited-By(7)Orthogonal matching pursuit (OMP) algorithm with random measurement matrix (RMM), often selects an incorrect variable due to the induced coherent interference between the columns of RMM. In this paper, we propose a sensing measurement matrix (SMM)-OMP which mitigates the coherent interference and thus improves the successful recovery probability of signal. It is shown that the SMM-OMP selects all the significant variables of the sparse signal before selecting the incorrect ones. We present a mutual incoherent property (MIP) based theoretical analysis to verify that the proposed method has a better performance than RMM-OMP. Various simulation results confirm our proposed method efficiency.

【 授权许可】

Unknown