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《Journal of Electronics and Information Technology》 2003-12
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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)  
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.
【CateGory Index】: TN713
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 ZHANG Bin, WANG Wei wei, SONG Guo xiang (School of Science, Xidian Univ., Xi'an 710071);A New Method for Constructing Scale Functions of Multiwavelets with Fractal Interpolation Functions[J];Chinese Journal of Engineering Mathematics;2002-01
2 Zhu Chunxi,Xu Changfa,Cai Chao,Pi Minghong (Mathematics Department, Huazhong University of Science and Technology, Wuhan 430074);CONSTRUCTION OF SYMMETRY AND ANTI-SYMMETRY MULTISCALING FUNCTIONS[J];Numerical Mathematies A Journal of Chinese Universities;2000-04
【Co-citations】
Chinese Journal Full-text Database 3 Hits
1 ZHANG Bin, WANG Wei wei, SONG Guo xiang (School of Science, Xidian Univ., Xi'an 710071);A New Method for Constructing Scale Functions of Multiwavelets with Fractal Interpolation Functions[J];Chinese Journal of Engineering Mathematics;2002-01
2 QIU Ju, MA Si-liang, ZHANG Zhong-bo(Institute of Mathematics, Jilin University, Changchun 130012, China);Micro Image Cell Edge Extraction Based on Wavelet Transform[J];Journal of Jilin University (Science Edition);2005-03
3 DENG Xiao-yan,LONG Guang-qing(Department of Scientific Computing and Computer Application,Sun Yat-sen University,Guangzhou 510275,China);Construction of Orthogonal Multiresolution Analysis Using Quadratic Fractal Interpolation Functions[J];Acta Scientiarum Naturalium Universitatis Sunyatseni;2005-06
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Zhu Chunxi,Xu Changfa,Cai Chao,Pi Minghong (Mathematics Department, Huazhong University of Science and Technology, Wuhan 430074);CONSTRUCTION OF SYMMETRY AND ANTI-SYMMETRY MULTISCALING FUNCTIONS[J];Numerical Mathematies A Journal of Chinese Universities;2000-04
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