A Coefficient Sensitivity Bound in 2-D State-Space Digital Filtering

IEEE Transactions on Circuits and Systems

Volumn 33, Issue 6, 1986, Pages 665-667

  Zilouchian, A ^a   Carroll, R L ^a  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FILTERS, DIGITAL - DESIGN;

2-D STATE-SPACE DIGITAL FILTERING; COEFFICIENT SENSITIVITY BOUND; SCALED EQUAL-WORDLENGTH REALIZATION; SINGLE-INPUT, SINGLE-OUTPUT (SISO) FILTERS;

MATHEMATICAL TECHNIQUES;

EID: 0022733576     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1986.1085960     Document Type: Article

References (14)

1. B. Liu, “Effects of finite wordlength on the accuracy of digital filters-A review,” IEEE Trans. Circuit Theory, vol. CT-18, pp. 670–677, 1971.
2. M. D. Ni and J. K. Aggarwal, “Two dimensional digital filtering and its error analysis,” IEEE Trans. Computer, vol. C-23, Sept. 1974.
3. S. Y. Hwang, “Round off noise in state space digital filtering: A general analysis,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-24, pp. 256–262, June 1976.
4. L. B. Jackson, “Round off noise bounds drived from coefficient sensitivities for digital filters” IEEE Trans. Circuits Syst., vol. CAS-23, pp. 481–485 Aug. 1976.
5. L. B. Jackson, A. G. Lindgren, and Y. Kim, “Optimal synthesis of second-order state space structures for digital filters,” IEEE Trans. Circuits Syst., vol. CAS-26, pp. 149–153, Mar. 1979.
6. V. Tavsanoglu and L. Thiele, “Optimal design of state space digital filters by Simulations minimization of sensitivity and round off noise,” IEEE Trans. Circuits Syst., vol. CAS-31, pp. 884–888, Oct. 1984.
7. R. E. Crochiere and A. V. Oppenhiem, “Analysis of linear digital network,” Proc. IEEE, vol. 63, Apr. 1975.
8. S. Y. Kung, B. C. Levy, M. Morf, and T. Kailath, “New results in 2-D systems theory, Part II: 2-D state space models,” Proc. IEEE, vol. 65, pp. 945–961, June 1977.
9. R. P. Roesser, “A discrete state-space model for linear image processing,” IEEE Trans. Automat. Contr., vol. 20, pp. 1–10, Feb. 1975.
10. B. C. Mertzios, “On the round off noise in 2-D state-space digital filtering,” IEEE Trans. Circuits Syst., vol. CAS-32, pp. 201–204, Feb. 1985.
11. A. Zilouchian and R. L. Carroll, “On the optimal synthesis of 2-D state-space digital filters,” IEEE Trans. Circuits Syst., Nov. 1985.
12. R. L. Carroll and A. Zilouchian, “On the round off noise of separable in denomiator 2-D filters,” IEEE Trans. Circuits Syst., vol. CAS-33, p. 448, Apr. 1986.
13. A. Zilouchian and R. L. Carroll, “On the coefficient sensitivity bound of optimal realization,” in preparation.
14. M. Vidyasagar, Nonlinear System Analysis Englewood Cliffs, NJ: Prentice-Hall, 1978.