A new criterion for the overflow stability of second-order state-space digital filters using saturation arithmetic

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 45, Issue 3, 1998, Pages 311-313

  Kar, Haranath ^a   Singh, Vimal ^a  

^a MOTILAL NEHRU NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Asymptotic stability; Digital filters; Finite wordlength effects

Indexed keywords

ASYMPTOTIC STABILITY; DIGITAL ARITHMETIC; MATRIX ALGEBRA; STATE SPACE METHODS;

RITZERFELD-WERTER CRITERION; SATURATION ARITHMETIC;

DIGITAL FILTERS;

EID: 0032022970     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.662720     Document Type: Article

References (6)

1. J. H. F. Ritzerfeld, "A condition for the overflow stability of secondorder digital filters that is satisfied by all scaled state-space structures using saturation," IEEE Trans. Circuits Syst., vol. 36, pp. 1049-1057, Aug. 1989.
2. M. J. Werter, "Suppression of parasitic oscillations due to overflow and quantization in recursive digital filters," Ph.D. dissertation, Dept. Elect. Eng., Eindhoven University of Technology, Eindhoven, The Netherlands, Feb. 1989.
3. D. Liu and A. N. Michel, "Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters," IEEE Trans. Circuits Syst. I, vol. 39, pp. 798-807, Oct. 1992.
4. V. Singh, "Elimination of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic," IEEE Trans. Circuits Syst., vol. 37, pp. 814-818, June 1990.
5. _, "On the realization of two's complement overflow limit cycle free state-space digital filters," Proc. IEEE, vol. 74, pp. 1287-1288, Sept. 1986.
6. _, "Realization of two's complement overflow limit cycle free state-space digital filters: A frequency-domain viewpoint," IEEE Trans. Circuits Syst., vol. CAS-33, pp. 1042-1044, Oct.1986.