Abstract：The measurement matrix construction is one of main research direction in compressed sensing.The random measurement matrix are indeterminacy and difficult to be realized by hardware.This paper introduced a measurement matrices construction method based on good pseudorandom property of Logistic chaos sequence.This method is to make deterministic chaos sequence change into another chaos sequence satisfied uniform distribution by nonlinear transformation,and then do the sign function mapping to the new sequence so that to generate the new chaos sequence satisfied Bernoulli distribution;thereby measurement matrix in compressed sensing is constructed.In the simulation experiments,the proposed matrix is compared with Gaussian random matrix,Bernoulli random matrix,sparse random matrix and chaotic matrix.Experiment results show that the performances among these sensing matrices are almost equal.The designed measurement matrix is deterministic when chaos system parameter and initial value are fixed,and it is easy to be realized by hardware.
王知人,张德生,聂栋栋. Logistic混沌序列压缩感知测量矩阵构造[J]. 小型微型计算机系统, 2016, 37(3): 588-592.
WANG Zhi-ren,ZHANG De-sheng,NIE Dong-dong. Construction of Measurement Matrix in Compressed Sensing via Logistic Chaos Sequence. Journal of Chinese Computer Systems, 2016, 37(3): 588-592.
2016, Vol. 37 
