Title :
A Novel Constructional Method for Designing a Class of Orthogonal Wavelets with Finite Support
Author :
Du, Shude ; Hua, Delin
Author_Institution :
Dept. of Appl. Math., Nanyang Inst. of Technol., Nanyang, China
Abstract :
Wavelet analysis has been developed a mathematical branch. It has been a powerful tool for solving many complicated engineering problems. In this article, the notion of vector-valued multiresolution analysis is introduced and the definition of orthogonal vector-valued wavelets. A necessary and sufficient condition on the existence of orthogonal vector-valued wavelets is given by using paraunitary vector filter bank theory. A novel method for constructing a class of finitely supported orthogonal vector-valued wavelets is proposed.
Keywords :
filtering theory; vectors; wavelet transforms; constructional method; finite support; orthogonal vector-valued wavelets; orthogonal wavelets; paraunitary vector filter bank theory; vector-valued multiresolution analysis; wavelet analysis; Artificial intelligence; Computational intelligence; Design methodology; Discrete wavelet transforms; Educational technology; Mathematics; Multiresolution analysis; Power engineering and energy; Variable speed drives; Wavelet analysis;
Conference_Titel :
Artificial Intelligence and Computational Intelligence, 2009. AICI '09. International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3835-8
Electronic_ISBN :
978-0-7695-3816-7
DOI :
10.1109/AICI.2009.297
