A New Realizability Condition for Limit Cycle-Free State-Space Digital Filters Employing Saturation Arithmetic

IEEE Transactions on Circuits and Systems

Volumn 32, Issue 10, 1985, Pages 1070-1071

  Singh, Vimal ^a  

^a MOTILAL NEHRU NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - STATE SPACE METHODS;

SATURATION ARITHMETIC; STATE-SPACE DIGITAL FILTERS; ZERO-INPUT LIMIT CYCLES ABSENCE;

ELECTRIC FILTERS, DIGITAL;

EID: 0022136071     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1985.1085612     Document Type: Article

References (6)

1. C. W. Barnes and A. T. Fam “Minimum norm recursive digital filters that are free of overflow limit cycles,” IEEE Trans. Circuits Syst., vol. CAS-24, pp. 569–574, Oct. 1977.
2. W. L. Mills, C. T. Mullis, and R. A. Roberts “Digital filter realizations without overflow oscillations,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-26, pp. 334–338, Aug. 1978.
3. M. Kawamata and T. Higuchi “On the absence of limit cycles in a class of state space digital filters which contains minimum noise realizations,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-32, pp. 928–930, Aug. 1984.
4. S. R. Parker and S. F. Hess “Limit cycle oscillations in digital filters,” IEEE Trans. Circuit Theory, vol. CT-18, pp. 687–697, Nov. 1971.
5. L. B. Jackson, “Limit cycles in state space structures for digital filters,” IEEE Trans. Circuits Syst., vol. CAS-26, 67–68, Jan. 1979.
6. D. Mitra “A bound on limit cycles in digital filters which exploits a particular structural property of the quantization,” IEEE Trans. Circuits Syst., vol. CAS-24, pp. 581–589, Nov. 1977.