Title :
Construction of a class of orthogonal vector-valuedwavelets with three-scale
Author :
Luo, Ping ; Du, Jian-gen
Author_Institution :
Dept. of Fundamental Sci., Henan Polytech. Inst., Nanyang
Abstract :
The notion of vector-valued wavelets with three-scale dilation factor associated with an orthogonal vector-valued scaling function is introduced. The existence of orthogonal vector-valued wavelets with three-scale is discussed. A necessary and sufficient condition is presented by means of the theory of vector-valued multiresolution analysis and paraunitary vector filter bank theory. An algorithm for constructing a class of orthogonal vector-valued wavelets with compact support is proposed.
Keywords :
channel bank filters; filtering theory; signal resolution; vectors; wavelet transforms; orthogonal vector-valued scaling function; orthogonal vector-valued wavelet; paraunitary vector filter bank theory; three-scale dilation factor; vector-valued multiresolution analysis theory; Discrete wavelet transforms; Filter bank; Image coding; Multiresolution analysis; Pattern analysis; Pattern recognition; Signal processing algorithms; Sufficient conditions; Wavelet analysis; Wavelet packets; Multiresolution Analysis; Orthogonal Scaling Function; Orthogonal Wavelet Packets; Refinement Equation; Trivariate;
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.2008.4635842
