中心对称仿酉矩阵的构造及二元具有线性相位正交小波滤波器组的参数化

CONSTRUCTION OF CENTRAL-SYMMETRIC PARAUNITARY MATRIX AND PARAMETRIZATION OF BIVARIATE ORTHOGONAL WAVELET FILTER BANKS WITH LINEAR PHASE

中心对称仿酉矩阵(简记为CSPM)在线性相位的小波滤波器组的构造中起着重要的作用,本文给出偶数阶CSPM的表达式,矩阵中的元素为二元一次多项式.基于已给出的CSPM,给出具有线性相位的二元正交小波滤波器组的参数化,通过选取不同的参数可以得到的具有线性相位的正交小波滤波器组.最后给出算例.

Central-symmetric paraunitary matrix （CSPM for short） play a very important role in construction of wavelet filter banks with linear phase, In this paper, we give the expression of CSPM with even order, and the components in the matrix are two variables one order polynomials. Based on the constructed CSPM and Parametrization of bivariate of orthogonal wavelet filter banks with linear phase is given, By selecting different parameters, we can obtain different wavelet filter banks and one example is also given.