基于Hermite Cubics的预滤波器与双正交平衡系统

Prefilter banks and balancing biorthogonal system based on Hermite Cubics

首先将正交多小波系统的平衡性理论及预滤波理论推广到双正交系统,在此基础上,从不具有平衡性的Hermite Cubics双正交多小波出发,得到两组使系统的"低通"滤波器保持三阶多项式信号的预滤波器,最后给出一组基于Hermite Cubics系统的具有一阶平衡性的双正交多小波系统.

The balancing and prefilter theories of orthogonal multiwavelet system are generated to the biorthogonal system firstly. Then,based on nonbalanced biorthogonal Hermite Cubics system,two prefilter banks that make the "low-pass" branch preserve 3-order polynomial signals are designed. In the end,a biorthogonal system balanced of order 1 coming from Hermite Cubics is constructed,too.