Title :
Global asymptotic stability of normal digital filters with rounding and two´s complement truncation quantization
Author :
Djebbari, A. ; Elahmar, S.A. ; Belbachir, M.F. ; Rouvaen, J.M.
Author_Institution :
IEMN Dept., CNRS, Valenciennes, France
Abstract :
Normal form digital filters are investigated for limit cycles due to both two´s complement truncation and rounding quantization. Conditions for existence are derived. A method, based on an exhaustive search and applicable to above types of quantization, is introduced. Regions in the parameter space where the filters are free from limit cycles are determined. The computational aspects of the suggested algorithm are also discussed
Keywords :
asymptotic stability; digital arithmetic; digital filters; filtering theory; limit cycles; quantisation (signal); roundoff errors; search problems; algorithm; exhaustive search; global asymptotic stability; limit cycles; normal digital filters; parameter space regions; rounding; rounding quantization; two´s complement truncation quantization; Asymptotic stability; Digital filters; Equations; Finite wordlength effects; Laboratories; Limit-cycles; Linearity; Prototypes; Quantization; Testing;
Conference_Titel :
Signal Processing, 1996., 3rd International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-2912-0
DOI :
10.1109/ICSIGP.1996.567070
