Title :
An algorithm for constructing orthogonal vector-valued wavelets with compact support
Author :
Li, Zhi-fei ; Ding, Li-Ping
Author_Institution :
Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xian
Abstract :
In this paper. the notion of vector-valued multi-resolution 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 wavelet; multiresolution analysis; paraunitary vector filter bank theory; Algorithm design and analysis; Discrete wavelet transforms; Electronic mail; Filter bank; Functional analysis; Pattern analysis; Pattern recognition; Signal processing algorithms; Sufficient conditions; Wavelet analysis; Multi-resolution Analysis; Orthogonal; Vector-valued Scaling Functions; Vector-valued Wavelets;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-2238-8
Electronic_ISBN :
978-1-4244-2239-5
DOI :
10.1109/ICWAPR.2008.4635836
