Title : 
Necessary condition for the multiwavelet frames in two dimension
         
        
            Author : 
Wu, Guo-Chang ; Zhang, Rill
         
        
            Author_Institution : 
Dept. of Math. & Inf. Sci., Henan Univ. of Finance & Econ., Zhengzhou, China
         
        
        
        
        
        
            Abstract : 
In this note, a necessary condition of multiwavelet frame in L2(R2) is given. Our result generalizes the result of existing univariate and single generator to the cases of 2-dimension with an arbitrary expansive matrix dilation and several generators.
         
        
            Keywords : 
matrix algebra; signal processing; wavelet transforms; arbitrary expansive matrix dilation; multiwavelet frame; necessary condition; univariate generator; Artificial neural networks; Multiwavelet frame; expansive matrix dilation; necessary condition;
         
        
        
        
            Conference_Titel : 
Wavelet Analysis and Pattern Recognition (ICWAPR), 2010 International Conference on
         
        
            Conference_Location : 
Qingdao
         
        
            Print_ISBN : 
978-1-4244-6530-9
         
        
        
            DOI : 
10.1109/ICWAPR.2010.5576382