A Feasible Algorithm for Designing Biorthogonal Binary Finitely Supported Multiwavelet Functions
Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this paper, the notion of vector-valued multiresolution analysis is introduced and the definition of the biorthogonal vector-valued bivariate wavelet functions is given. The existence of biorthogonal vector-valued binary wavelet functions associated with a pair of biorthogonal vector-valued finitely supported binary scaling functions is investigated. An algorithm for constructing a class of biorthogonal vector-valued finitely supported binary wavelet functions is presented by virtue of multiresolution analysis and matrix theory.
Helen Zhang, Gang Shen and David Jin
B. M. Yu "A Feasible Algorithm for Designing Biorthogonal Binary Finitely Supported Multiwavelet Functions", Advanced Materials Research, Vols. 225-226, pp. 1092-1095, 2011