A novel compressive sensing method based on SVD sparse random measurement matrix in wireless sensor network
Abstract
Purpose
The performance of the measurement matrix directly affects the quality of reconstruction of compressive sensing signal, and it is also the key to solve practical problems. In order to solve data collection problem of wireless sensor network (WSN), the authors design a kind of optimization of sparse matrix. The paper aims to discuss these issues.
Design/methodology/approach
Based on the sparse random matrix, it optimizes the seed vector, which regards elements in the diagonal matrix of Hadamard matrix after passing singular value decomposition (SVD). Compared with the Toeplitz matrix, it requires less number of independent random variables and the matrix information is more concentrated.
Findings
The performance of reconstruction is better than that of Gaussian random matrix. The authors also apply this matrix to the data collection scheme in WSN. The result shows that it costs less energy and reduces the collection frequency of nodes compared with general method.
Originality/value
The authors design a kind of optimization of sparse matrix. Based on the sparse random matrix, it optimizes the seed vector, which regards elements in the diagonal matrix of Hadamard matrix after passing SVD. Compared with the Toeplitz matrix, it requires less number of independent random variables and the matrix information is more concentrated.
Keywords
Acknowledgements
This research work has been supported by the National 863 Program of China (Grant No. 2007AA01Z188), the National Natural Science Foundation of China (Grant Nos 61571328 and 61202169), the Ministry of Education Program for New Century Excellent Talents (Grant No. NCET-09-0895), Tianjin Municipal Natural Science Foundation (Grant No. 10JCYBJC00500), Tianjin Key Natural Science Foundation (Grant No. 13JCZDJC34600), Major projects of science and technology in Tianjin (Grant No.15ZXDSGX00050) and the Training plan of Tianjin University Innovation Team (Grant No.TD12-5016).
Citation
Ma, Z., Zhang, D., Liu, S., Song, J. and Hou, Y. (2016), "A novel compressive sensing method based on SVD sparse random measurement matrix in wireless sensor network", Engineering Computations, Vol. 33 No. 8, pp. 2448-2462. https://doi.org/10.1108/EC-09-2015-0269
Publisher
:Emerald Group Publishing Limited
Copyright © 2016, Emerald Group Publishing Limited