压缩感知中确定性测量矩阵构造算法综述
A Survey on Deterministic Measurement Matrix Construction Algorithms in Compressive Sensing

王强李佳沈毅

文摘	测量矩阵在压缩感知中起着关键性的作用,其性能会影响原始信号的压缩与重构。现有的测量矩阵多数为随机的,它们在实际应用中有存储量大、效率低等缺点,且在硬件上难以实现,故构造确定性测量矩阵对压缩感知理论的推广与应用具有重要的意义。本文回顾了国内外学者在确定性测量矩阵构造方面的研究,着重对目前已有的构造算法进行详细的介绍和分类,最后根据多种指标综合评述了各种算法的性能。
其他语种文摘	Measurement matrix ,whose performance can affect the compression and reconstruction of original signal ,plays a key role in compressive sensing .Most of the existing measurement matrices are random ones ,which have shortcomings in practical application ,such as large storage capacity ,low efficiency and difficulty when implemented in the hardware .Therefore ,it is of im-portant practical significance to construct deterministic measurement matrix for the promotion and application of the compressive sensing theory .In this paper ,the existing construction algorithms for deterministic measurement matrix are reviewed ,introduced and classified in detail .Finally the performances of all algorithms are summarized in terms of common indicators .
来源	电子学报 ,2013,41(10):2041-2050 【核心库】
DOI	10.3969/j.issn.0372-2112.2013.10.027
关键词	压缩感知 ; 确定性测量矩阵 ; 有限等距性质 ; 信号重构
地址	哈尔滨工业大学控制科学与工程系, 黑龙江, 哈尔滨, 150001
语种	中文
文献类型	研究性论文
ISSN	0372-2112
学科	电子技术、通信技术
基金	国家自然科学基金
文献收藏号	CSCD:4967653