On construction of symmetric compactly supported biorthogonal multiwavelets with short sequences

Authors

Yi-Gang Cen, Institute of Information Science, Beijing Jiaotong University,Beijing, P. R. China,Follow
Li-Hui Cen
Xiao-Fang Chen

Abstract

A novel approach for constructing symmetric compactly supported biorthogonal multiwavelets with short sequences is proposed in this paper. For some symmetric types of biorthogonal multiwavelet systems, starting from the symmetric properties of scaling and wavelet functions, parameterized symmetric forms of polyphase matrices can be derived. Furthermore, according to the matrix equations of the perfect reconstruction condition, the parameters of polyphase matrices can be reduced, which finally leads to our proposed algorithm for the construction of symmetric compactly supported biorthogonal multiwavelets with short sequences.

Suggested Reviewers

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Recommended Citation

Cen, Yi-Gang; Cen, Li-Hui; and Chen, Xiao-Fang (2012) "On construction of symmetric compactly supported biorthogonal multiwavelets with short sequences," Applied Mathematics & Information Sciences: Vol. 06: Iss. 3, Article 17.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol06/iss3/17