A Method for Constructing Orthogonal Multiwavelets
Pan Jin · Modern Electronics Technique · 2006
A new method for constructing associated multiwavelets from multi-scaling functions is presented which is simple for computation,need not solve a set of nonlinear equations in unknown matrices or factorize correspondingly a polynomial matrix into a special form,and is not restrained by the multiplicity of multiwavelets.Unlike the methods available,it constructs two matrices from the scaling sequences,and the associated multiwavelet can be obtained by means of the two matrices.Therefore,it can be used to design multiwavelet systems with desired properties more flexibly.As an example,the authors derive the GHM multiwavelet via the new method.