Title :
Existence and Design of a Kind of Biorthogonal Vector-Valued Wavelets
Author :
Wang, Junqiu ; Li, Juanfei
Author_Institution :
Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
Abstract :
In this article, we develop the vector-valued multiresolution analysis and the biorthogonal vector-valued wavelets. The existence of biorthogonal vector-valued compactly supported wavelets associated with a pair of biorthogonal vector-valued compactly supported scaling functions is studied. A novel method for designing a class of biorthogonal vector-valued finitely supported wavelet functions is proposed by means of multiresolution analysis and time-frequency analysis.
Keywords :
vectors; wavelet transforms; biorthogonal vector-valued wavelet; scaling function; time-frequency analysis; vector-valued multiresolution analysis; Design methodology; Discrete wavelet transforms; Fluid flow; Image coding; Integral equations; Multiresolution analysis; Power engineering and energy; Power engineering computing; Signal processing; Wavelet analysis; biorthogonal; multiresolution analysis; vector-valued; wavelets;
Conference_Titel :
Environmental Science and Information Application Technology, 2009. ESIAT 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-3682-8
DOI :
10.1109/ESIAT.2009.417
