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| 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 |
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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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Received: 07 June 2002
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2003, Vol. 25 
