利用雙尺度相似變換構(gòu)造高逼近階的雙正交多低通濾波器
Using TST Constructing Biorthogonal Low Pass Multi-filters with Higher Approximation Order
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摘要: 該文給出了利用分形插值函數(shù)構(gòu)造多尺度函數(shù)的推導(dǎo)方法,對多低通濾波器H0(z)通過計算知det H0(z)和det H0(-z)沒有公共根,利用雙正交多低通濾波器的精確重構(gòu)條件,得到了H0(z)的對偶濾波器F0(z).為了使H0(z)的對偶具有較高逼近階,對H0(z)作雙尺度相似變換,得到了H0new(z)和它的對偶F0new(z),對只F0new(z)作相應(yīng)的反變換,就得到了H0(z)的具有高逼近階的對偶濾波器.Abstract: This paper presents a detailed method on constructing multi-scaling functions with fractal interpolation functions, then calculates that det H0(z) and det H0(-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 H0new t(z) is obtained. After applying corre-sponding inverse transform to F0new(z), the dual low pass multi-filter of H0(z) with higher approximation order is achieved.
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