Balanced Multiwavelet and Multifilter Bank
Xiaolan Li · Natural Science Journal of Xiangtan University · 2001
In this paper, we introduce a way to p roduce multiwavelet system, specially the balanced multiwavelet system, accordin g to three kinds of parametric expressions of the multifilter banks. And discuss the following aspects of the multiwavelet systems generated by these multifilte r banks: 1) the classification of balanced multiwavelet systems according to the symmetry of their every component; 2) the relations between the free parameters appearing during construction and the properties(especially, the approximation order, regularity order and balancing property)of multiwavelet systems. Finally,we show the correctness and reasonableness of the results through examples.