An Orthogonal Method for Measurement Matrix Optimization

CORC > 西安光学精密机械研究所 > 中国科学院西安光学精密机械研究所 > 空间光学应用研究室

	An Orthogonal Method for Measurement Matrix Optimization
	Pan, Jinfeng 1,2,3; Qiu, Yuehong1
刊名	circuits systems and signal processing
	2016-03-01
卷号	35 期号:3 页码:837-849
关键词	Measurement matrix Orthogonalization QR factorization Mutual coherence
ISSN号	0278-081x
产权排序	1
英文摘要	compressive sensing theory states that signals can be sampled at a much smaller rate than that required by the nyquist sampling theorem, because the sampling of a signal in the former is performed as a relatively small number of its linear measurements. thus, the design of a measurement matrix is important in compressive sensing framework. a random measurement matrix optimization method is proposed in this study based on the incoherence principle of compressive sensing, which requires the mutual coherence of information operator to be small. the columns with mutual coherence are orthogonalized iteratively to decrease the mutual coherence of the information operator. the orthogonalization is realized by replacing the columns with the orthogonal matrix of their qr factorization. an information operator with smaller mutual coherence is acquired after the optimization, leading to an improved measurement matrix in terms of its relationship with the information operator. results of several experiments show that the improved measurement matrix can reduce its mutual coherence with dictionaries compared with the random measurement matrix. the signal reconstruction error also decreases when the optimized measurement matrix is utilized.
学科主题	电子、电信技术
WOS标题词	science & technology ; technology
类目[WOS]	engineering, electrical & electronic
研究领域[WOS]	engineering
关键词[WOS]	signal recovery ; projections
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000370819100006
内容类型	期刊论文
源URL	[http://ir.opt.ac.cn/handle/181661/27836]
专题	西安光学精密机械研究所_空间光学应用研究室
作者单位	1.Chinese Acad Sci, Xian Inst Opt & Precis Mech, Space Opt Lab, Xian 710119, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Shandong Univ Technol, Sch Elect & Elect Engn, Zibo 255012, Peoples R China
推荐引用方式 GB/T 7714	Pan, Jinfeng,Qiu, Yuehong. An Orthogonal Method for Measurement Matrix Optimization[J]. circuits systems and signal processing,2016,35(3):837-849.
APA	Pan, Jinfeng,&Qiu, Yuehong.(2016).An Orthogonal Method for Measurement Matrix Optimization.circuits systems and signal processing,35(3),837-849.
MLA	Pan, Jinfeng,et al."An Orthogonal Method for Measurement Matrix Optimization".circuits systems and signal processing 35.3(2016):837-849.