Title : 
Zero-input limit cycles due to rounding in digital filters
         
        
            Author : 
Bose, Tamal ; Brown, David
         
        
            Author_Institution : 
Dept. of Electr. Eng., The Citadel, Charleston, SC, USA
         
        
        
        
        
            fDate : 
6/1/1989 12:00:00 AM
         
        
        
        
            Abstract : 
A necessary condition for the existence of zero-input limit cycles of period T due to rounding in general digital filters is established. Also, geometric sufficient conditions are presented for the existence of limit cycles of period one, of period two and of period T due to rounding. Some illustrative examples are included
         
        
            Keywords : 
digital filters; filtering and prediction theory; limit cycles; digital filters; geometric sufficient conditions; necessary condition; zero-input limit cycles; Adaptive filters; Circuits and systems; Digital filters; Equations; Filtering algorithms; Lattices; Limit-cycles; Polynomials; Signal processing algorithms; Speech processing;
         
        
        
            Journal_Title : 
Circuits and Systems, IEEE Transactions on