The Structure of Recursible Multidimensional Discrete Systems

IEEE Transactions on Automatic Control

Volumn 25, Issue 4, 1980, Pages 663-673

  Chan, David S K ^a  

^a SCHLUMBERGER DOLL RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SIGNAL PROCESSING;

CONTROL SYSTEMS, DISCRETE TIME;

EID: 0019047340     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1980.1102413     Document Type: Article

References (20)

1. Special Issue on Multidimensional Systems, Proc. IEEE, vol. 65, June 1977.
2. A. S. Willsky “Relationships between digital signal processing and control and estimation theory,” Proc. IEEE, vol. 66, pp. 996–1017, Sept. 1978.
3. D. S. K. Chan, “Theory and implementation of multidimensional discrete systems for signal processing,” Ph.D. dissertation, Dep. Elec. Eng. Comput. Sci., Mass. Inst. Technol., Cambridge, MA, May 1978.
4. R. M. Mersereau and D. E. Dudgeon “Two-dimensional digital filtering,” Proc. IEEE, vol. 63, pp. 610–623, Apr. 1975.
5. R. P. Roesser “A discrete state-space model for linear image processing,” IEEE Trans. Automat. Contr., vol. AC-20, pp. 1–10, Feb. 1975.
6. S. Attasi, “Modelling and recursive estimation for double indexed sequences,” IRIA-LABORIA, Rocquencourt, France, Rep. IA/129, July 1975.
7. E. Fornasini and G. Marchesini “State-space realization theory of two-dimensional filters,” IEEE Trans. Automat. Contr., vol. AC-21, pp. 484–492, Aug. 1976.
8. J. W. Woods and M. P. Ekstrom, “Nonsymmetric half plane recursive filters—Characterization, stability theorem and test,” in Proc. IEEE Int. Symp. Circuits Syst., Boston, MA, Apr. 1975, pp. 447–450.
9. D. S. K. Chan, “Constrained minimization of roundoff noise in fixed-point digital filters,” in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, Washington, DC, Apr. 1979, pp 335–339.
10. —, “A novel framework for the description of realization structures for 1-D and 2-D digital filters,” in Proc. IEEE Elec. Aerospace Syst. Conv. (EASCON), Washington, DC, Sept 1976, pp. 157a–H.
11. —, “Multidimensional oriented discrete systems—Characterization and realization,” in Proc. Asilomar Conf. Circuits, Syst., Comput., Pacific Grove, CA, Nov. 1977, pp. 90–94.
12. D. S. K. Chan and J. H. McClellan, “On the implementation of multidimensional discrete systems,” in Proc. IEEE Int. Symp. Circuits Syst., New York, NY, May 1978, pp. 712–714.
13. J. H. McClellan and D. S. K. Chan, “Realization of two-dimensional systems,” in Proc. European Conf. Circuit Theory & Design, Lausanne, Switzerland, Sept. 1978, pp. 381–388.
14. D. E. Dudgeon, “Two-dimensional recursive filtering,” Sc.D. thesis, Dep. Elec. Eng. Comput. Sci., M.I.T., Cambridge, MA, May 1974.
15. M. D. Ni and J. K. Aggarwal “Two-dimensional digital filtering and its error analysis,” IEEE Trans. Comput., vol. C-23, pp. 942–954, Sept. 1974.
16. S. K. Mitra, A. D. Sagar, and N. A. Pendergrass “Realizations of two-dimensional recursive digital filters,” IEEE Trans. Circuits Syst., vol. CAS-22, pp. 177–184, Mar. 1975.
17. 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.
18. D. S. K. Chan “A simple derivation of minimal and near-minimal realizations of 2-D transfer functions,” Proc. IEEE, vol. 66, pp. 515–516, Apr. 1978.
19. R. E. Mullans and D. L. Elliott, “Linear systems on partially ordered time sets,” in Proc. IEEE Conf. Decision Contr., San Diego, CA, pp. 334–337, Dec. 1973.
20. R. E. Kalman, P. Falb, and M. A. Arbib, Topics in Mathematical System Theory. New York: McGraw-Hill, 1969.