Title : 
The Intelligent Traits Regarding Biorthogonal Trivariate Wavelet Packs
         
        
            Author : 
Duan Zhi-xia ; Yu Yu-min
         
        
            Author_Institution : 
Dept. of Fundamentals, Jiyuan Vocational & Tech. Coll., Jiyuan, China
         
        
        
        
        
        
        
            Abstract : 
In this paper, the notion of biorthogonal nonseparable trivariate wavelet packs, which is the generalization of biorthogonal univariate wavelet packs, is introduced. A new procedure for constructing them is presented. Their biorthogonality property is characterized by the filter bank theory and time-frequency analysis method. Three biorthogonality formulas concerning these wavelet packs are established.
         
        
            Keywords : 
signal resolution; time-frequency analysis; wavelet transforms; biorthogonal trivariate wavelet packs; biorthogonal univariate wavelet packs; filter bank theory; intelligent traits; time-frequency analysis; Chaos; Fourier transforms; Fractals; Time frequency analysis; Wavelet analysis; Wavelet packets; biorthogonal; filter functions; time-frequency analysis method; trivariate; wavelet packs;
         
        
        
        
            Conference_Titel : 
Intelligent Systems (GCIS), 2010 Second WRI Global Congress on
         
        
            Conference_Location : 
Wuhan
         
        
            Print_ISBN : 
978-1-4244-9247-3
         
        
        
            DOI : 
10.1109/GCIS.2010.199