Parameterization and algebraic structure of 3-band orthogonal wavelet systems |
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Authors: | PENG Lizhong WANG Yongge |
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Institution: | School of Mathematical Science, Peking University, Beijing 100871, China |
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Abstract: | In this paper, a complete parameterization for the 3-band compact wavelet systems is presented. Using the parametric result,
a program of the filterbank design is completed, which can give not only the filterbanks but also the graphs of all possible
scaling functions and their corresponding wavelets. Especially some symmetric wavelets with small supports are given. Finally
an algebraic structure for this kind of wavelet systems is characterized. |
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Keywords: | wavelets McMillan degree algebraic structure |
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