Title :
Design of a class of compactly supported orthogonal vector-valued wavelets
Author :
Feng, Jin-Shun ; Hua, De-lin
Author_Institution :
Nanyang Inst. of Technol., Nanyang
Abstract :
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 method for constructing a class of compactly supported orthogonal vector-valued wavelets is proposed.
Keywords :
channel bank filters; signal resolution; vectors; wavelet transforms; compactly supported orthogonal vector-valued wavelets; paraunitary vector filter bank theory; vector-valued multiresolution analysis; Discrete wavelet transforms; Educational institutions; Educational technology; Equations; Multiresolution analysis; Notice of Violation; Pattern analysis; Pattern recognition; Sufficient conditions; Wavelet analysis; Orthogonal; multiresolution analysis; vector-valued scaling functions; vector-valued wavelets;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2007. ICWAPR '07. International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-1065-1
Electronic_ISBN :
978-1-4244-1066-8
DOI :
10.1109/ICWAPR.2007.4421719
