Using TST Constructing Biorthogonal Low Pass Multi-filters with Higher Approximation Order
Zhang Bin Wang Jun-feng Song Guo-xiang (School of Science, Xidian University, Xi'an 710071, China)
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.