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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.

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