1. A feasible method for constructing biorthogonal vector-valued finitely supported wavelets
- Author
-
Hailin Gao and Baoxian Lv
- Subjects
Discrete mathematics ,Mathematics::Functional Analysis ,Class (set theory) ,Pure mathematics ,Multiresolution analysis ,Biorthogonal polynomial ,Mathematics::Classical Analysis and ODEs ,Wavelet transform ,Physics::Data Analysis ,Statistics and Probability ,Filter bank ,Wavelet packet decomposition ,Nonlinear Sciences::Exactly Solvable and Integrable Systems ,Wavelet ,Biorthogonal system ,Mathematics - Abstract
In this paper, the notion of vector-valued multires- olution analysis and biorthogonal vector wavelets are introduced. The existence of biorthogonal finitely supported vector-valued wavelets associated with a pair of biorthogonal finitely supported vector-valued scaling functions is discussed. A procedure for designing a class of biorthogonal vector-valued finitely supported wavelet functions is proposed by virtue of multiresolution analysis approach and filter bank theory.
- Published
- 2010