Parametrizing rank 3 symmetric orthogonal wavelets by discrete moments
Jian Ma · Journal of Beijing University of Chemical Technology · 2009
The paper discuss parametrizations of filters corresponding to with several vanishing moments.After recalling some properties of rank 3 orthogonal wavelets,relations between the number of filters,symmetry,vanishing moments and discrete moments are discussed.The paper give up some vanishing moment conditions,which correspond to linear constraints on the filters,and introduce discrete moments of the filters as parameters.An algorithm is provided for constructing system equationns for rank 3 orthogonal wavelets filter coefficients.Finally,the associated several families examples with one-parameter are presented explicitly.This paper compute one example using algorithm,the algorithm is easy to be understood and generalize,the process of computing are easier.