Title : 
An l2-stability theorem for multidimensional IIR digital filters
         
        
            Author : 
Roytman, L.N. ; Swamy, N. N S
         
        
            Author_Institution : 
Pennsylvania State University, University Park, PA
         
        
        
        
        
        
        
            Abstract : 
The evaluation of the quantization error in two-dimensional (2-D) digital filters involves the following computation 

 In this paper a theorem concerning l
2-stability is given and a general method for the evaluation of J based on a Laurent expansion of the integrand is presented. An illustrative example is given.
 
        
            Keywords : 
Chromium; Digital filters; Integral equations; Poles and zeros; Polynomials; Quantization; Transfer functions;
         
        
        
        
            Conference_Titel : 
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '81.
         
        
        
            DOI : 
10.1109/ICASSP.1981.1171188