西安电子科技大学学报（自然科学版）Issue(2)：186-192,7.DOI:10.3969/j.issn.1001-2400.2015.02.031
m序列压缩感知测量矩阵构造
Construction of the compressive sensing measurement matrix based on m sequences
摘要
Abstract
Sequence is an important pseudo random sequence with good correlation.A new method for the deterministic constructing compressive sensing measurement matrix is given through m sequences and called the m Sequence Matrix.In Compressive Sensing,the spark,the smallest number of linearly dependent columns in a matrix,is an important parameter to measure the performance of the measurement matrix.A lower bound of the spark of the proposed measurement matrix is given by considering its correlation.Besides,numbers of simulations show that the proposed matrix has much higher reconstruction probability than the corresponding Gaussian random measurement matrix.The elements of the proposed matrix are deterministic once the m sequence is given,which avoids the uncertainty of random matrices.And the proposed matrix with a perfect cyclic structure can make the hardware realization convenient and easy,which illiminates the storage space waste of random measurement matrices,thus having great potentials in practice.关键词
压缩感知/测量矩阵/m序列/sparkKey words
compressive sensing/measurement matrix/m sequence/spark分类
信息技术与安全科学引用本文复制引用
党骙,马林华,田雨,张海威,茹乐,李小蓓..m序列压缩感知测量矩阵构造[J].西安电子科技大学学报（自然科学版）,2015,(2):186-192,7.基金项目
武器装备预研基金资助项目(9140A25031112JB32001) （9140A25031112JB32001）
西安电子科技大学综合业务网理论及关键技术国家重点实验室开放研究课题资助项目(ISN15-13) （ISN15-13）
