Construction of symmetric orthogonal multiwavelets with multiplicity 2

Abstract

For given symmetric/antisymmetric orthogonal mul-tiscaling functions with miltiplicity 2 and support [0,2L], we obtain a general method to construct the corresponding multiwavelets with the similar properties by applying the paraunitary extension of matrix and parameterization of paraunitary matrixfrom, and the symmetric orthogonal multiwavelet with support [0, 2] derived by Jiang can be easily recovered by our method.