利用双尺度相似变换构造高逼近阶的双正交多低通滤波器  

Using TST Constructing Biorthogonal Low Pass Multi-filters with Higher Approximation Order

作　　者：张彬[1] 王军锋[1] 宋国乡[1] 

机构地区：[1]西安电子科技大学理学院,西安710071

出　　处：《电子与信息学报》2003年第12期1658-1663,共6页Journal of Electronics & Information Technology

摘　　要：该文给出了利用分形插值函数构造多尺度函数的推导方法,对多低通滤波器H0(z)通过计算知detH0(z)和detH0(-z)没有公共根,利用双正交多低通滤波器的精确重构条件,得到了H0(z)的对偶滤波器F0(z).为了使H0(z)的对偶具有较高逼近阶,对H0(z)作双尺度相似变换,得到了H0new(z)和它的对偶F0new(z),对只F0new(z)作相应的反变换,就得到了H0(z)的具有高逼近阶的对偶滤波器.This paper presents a detailed method on constructing multi-scaling functions with fractal interpolation functions, then calculates that detH0(z) and detHo(-z) have no common roots, and obtains F0(z) the dual low pass multi-filter of H0(Z) with the perfect reconstruction condition of biorthogonal low pass multi-filters. In order to construct the dual low pass multi-filter of H0(z) with higher approximation order, the two-scale similarity transform is taken for H0(z), then and its dual H0newt(z) is obtained. After applying corresponding inverse transform to F0new(z), the dual low pass multi-filter of H0(z) with higher approximation order is achieved.

关 键 词：分形插值函数 逼近阶 双尺度相似变换 双正交多尺度函数 低通滤波器 

分 类 号：TN713.4[电子电信—电路与系统]