The research of Kronecker product-based measurement matrix of compressive sensing

被引:0
作者
Zhang, Baoju [1 ]
Tong, Xiang [1 ]
Wang, Wei [1 ]
Xie, Jiazu [1 ]
机构
[1] Tianjin Normal Univ, Coll Phys & Elect Informat, Tianjin 300387, Peoples R China
基金
美国国家科学基金会;
关键词
Measurement matrix; Compressive sensing; Kronecker product; Hardware implementation; SPARSITY;
D O I
10.1186/1687-1499-2013-161
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The theory of compressive sensing is briefly introduced, and some construction methods for measurement matrix are deduced. A measurement matrix based on Kronecker product is devised, and it has been proved in mathematical proof. Numerical simulations on 2-D image verify that the proposed measurement matrix has better performance in storage space, construction time, and image reconstruction effect when compared with commonly used matrices in compressive sensing. This novel measurement matrix offers great potential for hardware implementation of compressive sensing in image and high-dimensional signal.
引用
收藏
页数:5
相关论文
共 17 条
[1]  
[Anonymous], 2010, PACKING FOOD PROCESS
[2]   Enhancing Sparsity by Reweighted l1 Minimization [J].
Candes, Emmanuel J. ;
Wakin, Michael B. ;
Boyd, Stephen P. .
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2008, 14 (5-6) :877-905
[3]  
Chen Jufang, 2011, Proceedings of the International Conference on Advanced Manufacturing Technology 2011 (ATDM 2011), P1, DOI 10.1049/cp.2011.1029
[4]  
Chen JJ, 2012, IEEE ICC, P6362, DOI 10.1109/ICC.2012.6364763
[5]   SPARSITY ADAPTIVE MATCHING PURSUIT ALGORITHM FOR PRACTICAL COMPRESSED SENSING [J].
Do, Thong T. ;
Gan, Lu ;
Nguyen, Nam ;
Tran, Trac D. .
2008 42ND ASILOMAR CONFERENCE ON SIGNALS, SYSTEMS AND COMPUTERS, VOLS 1-4, 2008, :581-+
[6]   COMPRESSIVE SPECTRAL ESTIMATION FOR NONSTATIONARY RANDOM PROCESSES [J].
Jung, Alexander ;
Tauboeck, Georg ;
Hlawatsch, Franz .
2009 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS 1- 8, PROCEEDINGS, 2009, :3029-3032
[7]  
Kirachaiwanich D, 2011, CONF REC ASILOMAR C, P809, DOI 10.1109/ACSSC.2011.6190119
[8]  
Lei Xu, 2012, IEEE International Conference on Communications (ICC 2012), P794, DOI 10.1109/ICC.2012.6363658
[9]  
Liang QL, 2012, IEEE ICC, P6376, DOI 10.1109/ICC.2012.6364984
[10]  
Liang QL, 2011, CONF REC ASILOMAR C, P1479, DOI 10.1109/ACSSC.2011.6190264