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On construction of symmetric compactly supported biorthogonal multiwavelets with short sequences |
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PP: 501-508 |
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Author(s) |
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Yi-Gang Cen,
Li-Hui Cen,
Xiao-Fang Chen,
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Abstract |
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| 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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