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Volume 22 Issue 5
Sep.  2000
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Zhang Zijing, Jiao Licheng. M-BAND DISCRETE TIME WAVELET TRANSFORM[J]. Journal of Electronics & Information Technology, 2000, 22(5): 791-798.
Citation: Zhang Zijing, Jiao Licheng. M-BAND DISCRETE TIME WAVELET TRANSFORM[J]. Journal of Electronics & Information Technology, 2000, 22(5): 791-798.

M-BAND DISCRETE TIME WAVELET TRANSFORM

  • Received Date: 1999-02-11
  • Rev Recd Date: 1999-10-27
  • Publish Date: 2000-09-19
  • Two-band continuous time wavelets can be obtained from infinite-level binary tree-structured QMF banks.Similarly,two-band discrete time wavelet transform can be represented as a finite-level binary tree-structured QMF banks.In this paper,two-band discrete time wavelet transforms are generalized to M-band discrete time wavelet transforms.The relationship between M-band discrete time wavelet transforms and M-band paraunitary filter banks is also investigated.It is shown that if the filter banks on each level are parannitary,the wavelet basis generated by this tree is orthonormal.
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  • Daubichies I.Orthonormal bases of compactly supported wavelets[J].Comm.Pure and Appl.Math.1988,41(7):909-996[2]Vaidyanathan P P.Lossless systems in wavelet transforms.International Symposium on Circuits and Systems,Singapore:1991,116-119.[3]Steffen P,Heller P N,Gopinath R A,Burrus C S.Theory of regular M-band wavelet bases.IEEE Trans.on Signal Processing,1993,SP-41(12):3497-3510.[4]Soman A K,Vaidyanathan P P,Nguyen T Q.Linear phase paraunitary filter banks:Theory,factorizations and designs.IEEE Trans.on Signal Processing,1993,SP-41(12):3480-3496.[5]Zou Hehong,Tewfik A H.Design and parametrization of M-band orthonormal wavelets.IEEE,International Symposium on Circuits and Systems,San Diego,U.S.A.:1992,983-986.[6]Zou Hehong,Tewfik A H.Discrete orthogonal M-band wavelet decompositions.IEEE,International Conference on Acoustics,Speech,and Signal Processing,San Francisco,U.S.A.:1992,605-608.[7]Vaidyanathan P P.Multirate digital filters,filter banks,polyphase networks,and applications:A tfftorial[J].Proc.IEEE.1990,78(1):56-93
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