码本在压缩感知矩阵中的应用

Application of Codebooks in Compressed Sensing Matrixs

压缩感知矩阵的构造在压缩感知理论中起着举足轻重的作用.基于线性码和最优码本构造了一类新的压缩感知矩阵,并与DeVore构造的压缩感知矩阵和Gaussian随机矩阵的进比较,从不同的角度分别证明了当参数满足一定的条件时,新构造的压缩感知矩阵具有更好的性能。

The construction of compressed sensing matrix plays an important role in compressed sensing theory.In this paper,a new kind of compressed sensing matrix is constructed based on linear code and optimal code book,and compared with DeVore compressed sensing matrix and Gaussian random matrix,it is proved from different angles that the new compressed sensing matrix has better performance when the parameters meet certain conditions.