Title :
A Study of Orthogonality Quality of a Class of Matrix-Valued Uni-Wavelet Packets with Compact Support
Author :
Li, Jie ; Zhang, Tongyou
Author_Institution :
Dept. of Comput. Sci., Shangqiu Vocational & Tech. Coll., Shangqiu, China
Abstract :
Wavelet analysis has become a popular subject in scientific research for over twenty years. In this paper, the matrix-valued uni-wavelet packets are defined. A procedure for constructing the matrix-valued uni-wavelet packets is presented. The properties of matrix-valued wavelet packets are discussed by using integral transformation and operator theory. Finally, new orthogonal bases of L2(R,Cs×s) is constructed from the orthogonal matrix-valued wavelet packets.
Keywords :
mathematical operators; matrix algebra; wavelet transforms; compact support; integral transformation; matrix-valued uni-wavelet packets; operator theory; orthogonality quality; wavelet analysis; Discrete wavelet transforms; Educational institutions; Image coding; Information analysis; Information science; Mathematics; Signal processing; Variable speed drives; Wavelet analysis; Wavelet packets;
Conference_Titel :
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-4909-5
DOI :
10.1109/ICISE.2009.175
