Analysis and research on a novel method of constructing wavelets: lifting factorization

Wang Buhong; Wang Yongliang; Li Rongfeng

Volume 24 Issue 11

Nov. 2002

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Wang Buhong, Wang Yongliang, Li Rongfeng . Analysis and research on a novel method of constructing wavelets: lifting factorization[J]. Journal of Electronics & Information Technology, 2002, 24(11): 1480-1486.

Citation:

Wang Buhong, Wang Yongliang, Li Rongfeng . Analysis and research on a novel method of constructing wavelets: lifting factorization[J]. Journal of Electronics & Information Technology, 2002, 24(11): 1480-1486.

Citation:

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Analysis and research on a novel method of constructing wavelets: lifting factorization

Received Date: 2001-05-08
Rev Recd Date: 2001-12-24
Publish Date: 2002-11-19

Abstract

Abstract

Analysis and research on a novel method of constructing wavelets-lifting factorization is addressed. To arrive at a generalized interpretation of lifting based on the linear transform and transform matrix factorization, a new polyphase matrix representation is proposed. Moreover the equivalence of the conditions for perfect reconstruction between dual-subband FIR filtering implementation and the lifting is also proved. Additionally based on the duality theorem of complementary filter pairs, a new lifting factorization representation is suggested which brings lifting factorization to completion. Finally, to clarify the theory a concrete example of lifting factorization corresponding to (2,2) biorthogonal wavelet transform is presented, and the algorithm performance including reversibility, in-place implementation and computational complexity is also analyzed in brief.

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References

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