Title :
An investigation into the properties of orthogonal nonseparable four-dimensional wavelet packets
Author :
Yu, Yumin ; Song, Suluo
Author_Institution :
Dept. of Appl. Math., Nanyang Inst. of Technol., Nanyang, China
Abstract :
In this article, the notion of orthogonal nonseparable four-dimensional wavelet packets, which is the generalization of orthogonal univariate wavelet packets, is introduced. A new approach for constructing them is presented by iteration method. The orthogonality properties of four-dimensional wavelet packets are discussed. Three orthogonality formulas concerning these wavelet packets are established.
Keywords :
iterative methods; wavelet transforms; iteration method; orthogonal nonseparable four-dimensional wavelet packets; orthogonal univariate wavelet packets; Mathematics; Multiple signal classification; Multiresolution analysis; Signal processing; Speech; Spline; Time frequency analysis; Wavelet analysis; Wavelet packets; Wavelet transforms; four-dimensional; iteration method; orthogonal wavelet packets; scaling functions;
Conference_Titel :
Computer and Automation Engineering (ICCAE), 2010 The 2nd International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-5585-0
Electronic_ISBN :
978-1-4244-5586-7
DOI :
10.1109/ICCAE.2010.5451549
