An algorithm for constructing multidimensional biorthogonal periodic multiwavelets
Say Song Goh, Kok-Ming Teo · Proceedings of the Edinburgh Mathematical Society · 2000
Abstract This paper deals with the problem of constructing multidimensional biorthogonal periodic multiwavelets from a given pair of biorthogonal periodic multiresolutions. Biorthogonal polyphase splines introduced to reduce the problem to a matrix extension problem, and an algorithm for solving the matrix extension problem is derived. Sufficient conditions for collections of periodic multiwavelets to form a pair of biorthogonal Riesz bases of the entire function space are also obtained.