Stability Test for Two-Dimensional Recursive Filters

IEEE Transactions on Audio and Electroacoustics

Volumn 21, Issue 4, 1973, Pages 366-372

  Anderson, Brian D O ^a   Jury, Eliahu I ^b  

^a UNIVERSITY OF NEWCASTLE   (Australia)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FILTERS, DIGITAL;

EID: 0015651251     PISSN: 00189278     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAU.1973.1162491     Document Type: Article

References (17)

1. C. Farmer and J. B. Bednar, “Stability of spatial digital filters,” Math. Biosci., vol. 14, pp. 113-119, 1972.
2. J. L. Shanks, S. Treitel, and J. H. Justice, “Stability and synthesis of two-dimensional recursive filters,” IEEE Trans. Audio Electroacoust., vol. AU-20, pp. 115-128, June 1972.
3. T. S. Huang, “Stability of two-dimensional recursive filters,” IEEE Trans. Audio Electroacoust., vol. AU-20, pp. 158-163, June 1972.
4. H. G. Ansell, “On certain two-variable generalizations of circuit theory, with applications to networks of transmission lines and lumped reactances,” IEEE Trans. Circuit Theory, vol. CT-11, pp. 214-223, June 1964.
5. S. H. Lehnigk, Stability Theorems for Linear Motions, with an Introduction to Lyapunov's Direct Method. Englewood Cliffs, N.J.: Prentice-Hall, 1966.
6. E. A. Guillemin, Synthesis of Passive Networks. New York: Wiley, 1957.
7. A. Cohn, “Über die Anzahl der Wurzeln einer algebraischen Gleichung in einer Kreise,” Math. J., vol. 14, pp. 110-148, 1922.
8. M. Fujiwara, “Über die Algebraischen Gleichungen, deren Wurzeln in einem Kreise oder in einer Halbebene liegen,” Math. J., vol. 24, pp. 160-169, 1926.
9. E. I. Jury Theory and Application of the z-Transform Method. New York: Wiley, 1964.
10. S. Barnett. Matrices in Control Theory. London, England: Van Nostrand Reinhold, 1971.
11. K. J. Åstrom, Introduction to Stochastic Control Theory. New York: Academic, 1970
12. E. I. Jury, “A note on the reciprocal zeros of a real polynomial with respect to the unit circle,” IEEE Trans. Circuit Theory, vol. CT-11, pp. 292-294, June 1964.
13. B. D. O. Anderson and E. I. Jury, “A simplified Schur-Cohn test,” IEEE Trans. Automat. Contr., vol. AC-18, pp. 157-163, Apr. 1973.
14. D. D. Siljak, “Algebraic criteria for positive realness on the unit circle, in Proc. 2nd Int. Symp. Network Theory, Yugoslavia, July 1972.
15. F. R. Gantmacher, The Theory of Matrices. New York: Chelsea, 1959.
16. H. A. Nour Eidin, “Ein neues Stabilitätskriterium für abgetaste Regelsysteme,” Regelungstechnik, vol. 7, pp. 301-307,1971.
17. E. I. Jury and G. Gupta, “Alternate coefficients constraints for stability test,” Proc. IEEE (Lett.), vol. 55, pp. 1769-1770, Oct. 1967.