DocumentCode :
2098148
Title :
Characteristics of Higher-dimensional Two-directional Wavelet Packets
Author :
Gao, Hongwei
Author_Institution :
Dept. of Math., Yulin Univ., Yulin, China
fYear :
2010
fDate :
28-31 March 2010
Firstpage :
1
Lastpage :
4
Abstract :
Abstract-In this article, the notion of biorthogonal two-direction finitely supported wavelet packets with three-scale is introduced. A new approach for designing two-direction biorthogonal wavelet packets is developed and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. The decomposition relationship is established. Lastly, two Riesz bases of space L2 (R) are drawn from these wavelet packets.
Keywords :
matrix algebra; time-frequency analysis; wavelet transforms; Riesz bases; higher dimensional two directional biorthogonal wavelet packets; matrix theory; operator theory; time-frequency analysis method; Biomedical signal processing; Equations; Mathematics; Matrix decomposition; Multiresolution analysis; Signal processing algorithms; Time domain analysis; Time frequency analysis; Wavelet analysis; Wavelet packets;
fLanguage :
English
Publisher :
ieee
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
Type :
conf
DOI :
10.1109/APPEEC.2010.5448611
Filename :
5448611
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2098148
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