Abstract
For the 2-channel orthogonal multiwavelet systems with symmetric center γ/2, we give the parameterization of the associated multifilter banks, whether γ is odd or even. When γ is odd, we obtain the similar results to Jiang’s, for the case that γ is even, we transform the parameterization of the multifilter banks into the one of the case that γ is odd, then by the previous results and inverse transforms, we derive the corresponding results. Using the parameterization of the multifilter banks, we easily reconstruct the Chui-Lian multiwavelet systems with support [0,2] and [0,3]. Moreover, a new orthogonal multiwavelet system with symmetric center 2 is obtained, and the corresponding multiscaling function has approximation order 2.
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Feng, X., Yang, Z. & Cheng, Z. The parameterization of 2-channel orthogonal multifilter banks with some symmetry. J. Appl. Math. Comput. 26, 151–168 (2008). https://doi.org/10.1007/s12190-007-0004-5
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DOI: https://doi.org/10.1007/s12190-007-0004-5