Title :
The Description of Characteristics of matrix-valued wavelet packet bases
Author_Institution :
Dept. of Math., Pingdingshan Coll. of Educ., Pingdingshan, China
Abstract :
In this paper, we introduce matrix-valued multi-resolution analysis and orthogonal matrix-valued wavelet packets. A procedure of the construction of orthogonal matrix-valued wavelet packets is presented. The properties of matrix-valued wavelet packets are characterized. Moreover, a new orthogonal basis of L2(R,CsÃs) is obtained from these wavelet packets.
Keywords :
matrix algebra; wavelet transforms; dilation equation; matrix-valued wavelet packet bases; multi-resolution analysis; scaling functions; Codes; Educational institutions; Equations; Frequency; Image coding; Mathematics; Multiresolution analysis; Signal processing; Wavelet analysis; Wavelet packets;
Conference_Titel :
Power and Energy Engineering Conference (APPEEC), 2010 Asia-Pacific
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-4812-8
Electronic_ISBN :
978-1-4244-4813-5
DOI :
10.1109/APPEEC.2010.5448432