Title :
A Novel Approach for Designing a Class of Orthogonal Vector-valued Wavelets
Author :
Guo, Mingpu ; Lv, Baoxian
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
Abstract :
In this paper, the concept of vector-valued multiresolution analysis is introduced and the definition of orthogonal vector-valued wavelets is given. A sufficient condition on the existence of orthogonal vector-valued wavelets is presented by virtue of matrix theory and paraunitary vector filter bank theory. A new method for constructing a class of finitely supported orthogonal vector-valued wavelets is developed.
Keywords :
channel bank filters; signal resolution; wavelet transforms; matrix theory; orthogonal vector-valued wavelets; paraunitary vector filter bank theory; vector-valued multiresolution analysis; Discrete wavelet transforms; Filter bank; Fourier transforms; Frequency estimation; Information technology; Multiresolution analysis; Power system harmonics; Sufficient conditions; Time frequency analysis; Wavelet analysis; filter bank theory; finite support; multiresolution analysis; orthogonal; vector-valued wavelets;
Conference_Titel :
Intelligent Information Technology Application Workshops, 2009. IITAW '09. Third International Symposium on
Conference_Location :
Nanchang
Print_ISBN :
978-1-4244-6420-3
Electronic_ISBN :
978-1-4244-6421-0
DOI :
10.1109/IITAW.2009.19
