M-ARY WAVELET TRANSFORM AND FORMULATION FOR PERFECT RECONSTRUCTION IN M-BAND FILTER BANK

被引：2
|
作者：
YAOU, MH
CHANG, WT
机构：
[1] Institute of Communication Engineering, National Chiao-Tung University, Hsinchu, Taiwan
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 1994年 / 42卷 / 12期
关键词：
D O I：
10.1109/78.340784
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The binary wavelet transform is generalized and extended to the M-ary biorthonormal case. The computational equivalence between the discrete wavelet analysis and the M-band multirate signal filtering is indicated. The equivalence allows the perfect reconstruction requirement in a filter bank to be investigated from the vector space decomposition/reconstruction in wavelet analysis. From the construction of the biorthonormal wavelet bases, the necessary and sufficient condition for the filters in a perfect reconstruction filter bank is formulated. Under this formulation, an additional optimization procedure is then used to model the frequency domain requirement in filter bank design.
引用
收藏
页码：3508 / 3512
页数：5
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