线性相位紧支撑二元正交小波滤波器的构造

Construction of Compactly Supported Bivariate of Orthogonal Wavelet Filter With Linear Phase

高维小波是处理多维信号的有力工具,张量积和栅格结构的小波有其自身的特点,但在实际应用中,仍需要构造小波滤波器来满足特定情形下的需要以提高滤波的效果,线性相位的正交小波滤波器是小波应用于工程中一个非常重要的特性。文献[6]给出了构造二元一次中心对称仿酉矩阵的方法,在此基础上,构造了具有线性相位的紧支撑二元正交低通滤波器及对应的小波滤波器,并给出了例子。

Mutlivariate wavelets are a powerful tool for multidimension signal processing. Wavelets filters constructed by tensor product or lattice structure have their own features. In application, to improve the effect of filtering, to constructing wavelet filter meeting some special requirements is still needed, Orthogonal wavelet filter banks with linear phase is a very important property in application of wavelets filters. In reference [ 6 ], the way of constructing centralsymmetric paraunitary matrix （each element is a bivariate polynomial of order one ） is given, and on this basis, compactly supported bivariate of orthogonal lowpass filter with linear phase and corresponding wavelet filters are constructed and one example is also given.