Improved Measurement Matrix Construction with Pseudo-Random Sequence in Compressed Sensing

doi:10.1007/s11277-021-09274-6

	Improved Measurement Matrix Construction with Pseudo-Random Sequence in Compressed Sensing
	He, Jiai; Wang, Tong; Wang, Chanfei; Chen, Yanjiao
刊名	WIRELESS PERSONAL COMMUNICATIONS
	2022
卷号	123 期号:4 页码:3003-3024
关键词	Compressed sensing Measurement matrix construction Pseudorandom Refactoring performance
ISSN号	0929-6212
DOI	10.1007/s11277-021-09274-6
英文摘要	In compressed sensing theory, the measurement matrix improves the reconstruction performance by reducing the cross-correlation between itself and the sparse dictionary. Aiming at the difficulty of hardware implementation of random measurement matrix and the large storage cost, this paper proposes an optimized method for constructing measurement matrix based on pseudo-random sequence. This method combines the random Gaussian matrix with the pseudo-random sequence and the Hadamard matrix, adjusts the size of the measurement matrix by changing the order of the random Gaussian matrix, so that the constructed matrix not only retains the advantages of the random Gaussian matrix with few measurements and the pseudo-random sequence with high correlation, but also has good reconstruction performance. At the same time, related theorem is proposed and its rationality is verified. Finally, the one-dimensional random signal and two-dimensional images are experimentally verified on the MATLAB simulation platform. The experimental results show that, compared with the conventional matrices, the optimized matrix has better reconstruction performance, lower time computation complexity and good application value.
WOS研究方向	Telecommunications
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000743008000002
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/154842]
专题	计算机与通信学院
作者单位	Lanzhou Univ Technol, Sch Comp & Commun, Lanzhou 730050, Peoples R China
推荐引用方式 GB/T 7714	He, Jiai,Wang, Tong,Wang, Chanfei,et al. Improved Measurement Matrix Construction with Pseudo-Random Sequence in Compressed Sensing[J]. WIRELESS PERSONAL COMMUNICATIONS,2022,123(4):3003-3024.
APA	He, Jiai,Wang, Tong,Wang, Chanfei,&Chen, Yanjiao.(2022).Improved Measurement Matrix Construction with Pseudo-Random Sequence in Compressed Sensing.WIRELESS PERSONAL COMMUNICATIONS,123(4),3003-3024.
MLA	He, Jiai,et al."Improved Measurement Matrix Construction with Pseudo-Random Sequence in Compressed Sensing".WIRELESS PERSONAL COMMUNICATIONS 123.4(2022):3003-3024.