Title :
A novel algorithm for designing biorthogonal five-scale wavelets
Author :
Ge Ma ; De-You Yuan
Author_Institution :
Dept. of Appl. Math., Nanyang Inst. of Technol., Nanyang, China
Abstract :
In this paper, the notion of vector-valued multiresolution 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.
Keywords :
wavelet transforms; biorthogonal five-scale wavelets; biorthogonal vector wavelets; biorthogonal wavelet functions; filter bank theory; finitely supported wavelet functions; vector-valued multiresolution analysis; vector-valued scaling functions; vector-valued wavelet functions; vector-valued wavelets; Algorithm design and analysis; Differential equations; Discrete wavelet transforms; Filter bank; Frequency; Mathematics; Multiresolution analysis; Signal processing algorithms; Wavelet analysis; Wavelet transforms; filter bank theory trivariate; refinement equation; scaling functions; vector-valued wavelets;
Conference_Titel :
Computer and Automation Engineering (ICCAE), 2010 The 2nd International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-5585-0
Electronic_ISBN :
978-1-4244-5586-7
DOI :
10.1109/ICCAE.2010.5451554
