LI Zhetao, XIE Jingxiong, ZHU Gengming, PENG Xin, XIE Yanrong, CHOI Youngjune. Block-Based Projection Matrix Design for Compressed Sensing[J]. Chinese Journal of Electronics, 2016, 25(3): 551-555. doi: 10.1049/cje.2016.05.022
Citation: LI Zhetao, XIE Jingxiong, ZHU Gengming, PENG Xin, XIE Yanrong, CHOI Youngjune. Block-Based Projection Matrix Design for Compressed Sensing[J]. Chinese Journal of Electronics, 2016, 25(3): 551-555. doi: 10.1049/cje.2016.05.022

Block-Based Projection Matrix Design for Compressed Sensing

doi: 10.1049/cje.2016.05.022
Funds:  This work is supported by the National Natural Science Foundation of China (No.61100215, No.61311140261, No.61379115, No.61372049, No.61300039), Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No.2012R1A1A1017284), Ministry of Science, ICT and Future Planning of Korea under the Global IT Talent Support Program (No.NIPA-2014-H0904-14-1004) supervised by the National IT Industry Promotion Agency, Hunan Provincial Natural Science Foundation of China (No.13JJ8006, No.12JJ9021, No.14JJ3130) and the Construct Program of the Key Discipline in Hunan Province and College Students Innovation Project (No.2013XTUXJ47).
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  • Corresponding author: ZHU Gengming is a professor in Hunan University of Science and Technology. His research interests include wireless sensor network and compressive sensing. (Email: gengmingzhu@gmail.com)
  • Received Date: 2014-04-24
  • Rev Recd Date: 2014-09-24
  • Publish Date: 2016-05-10
  • The objective of optimizing a projection matrix is to decrease the mutual coherence between a projection matrix and a basis matrix. In this paper, a novel block-based method is proposed to design a projection matrix in compressed sensing. Here, the projection matrix is divided into two blocks. The relationship between the two blocks was obtained by reasoning and proving. Theoretical analysis demonstrates that the mutual coherence between the whole projection matrix and the whole basis matrix keeps as good as the mutual coherence between the block matrix and blocked basis matrix. Experimental results show that the proposed method obtains better performance compared to existing methods.
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