Efficient Implementations of 2-D Noncausal IIR Filters

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

Volumn 44, Issue 7, 1997, Pages 549-563

  Daniel, Michael M ^a,b   Willsky, Alan S ^a,b  

^a IEEE   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; DIFFERENCE EQUATIONS; HIGH PASS FILTERS; LOW PASS FILTERS; PARTIAL DIFFERENTIAL EQUATIONS; SIGNAL PROCESSING;

ZERO PHASE FILTERS;

DIGITAL FILTERS;

EID: 0031190154     PISSN: 10577130     EISSN: None     Source Type: Journal    
DOI: 10.1109/82.598426     Document Type: Article

References (16)

1. R. Chellappa and S. Chatterjee, Classification of textures using gaussian Markov random fields, IEEE Trans. Acoust, Speech, Signal Processing, vol. ASSP-33, pp. 959-963, 1985.
2. H. Derin and P. A. Kelly, Discrete-index Markov-type random processes, Proc. IEEE, vol. 77, Oct. 1989.
3. D. E. Dudgeon and R. M. Mersereau, Multidimensional Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1984.
4. I. S. Duff, A. M. Erisman, and J. K. Reid, Direct Methods for Sparse Matrices. Oxford, England: Oxford Univ. Press, 1987.
5. A. M. Erisman and W. F. Tinney, On computing certain elements of the inverse of a sparse matrix, Commun. ACM, vol. ACM-18, no. 3, 1975.
6. A. George and J. W. Liu, Computer Solution of Large and Sparse Positive Definite Systems. Englewood Cliffs, NJ: Prentice-Hall, 1981.
7. G. H. Golub and C. F. Van Loan, Matrix Computations. Baltimore, MD: John Hopkins Univ. Press, 1990.
8. Q. Gu and M. N. S. Swamy, On the design of a broad class of 2D recursive digitial filters with fan, diamond, and elliptically-symmetric responses, IEEE Trans. Circuits Syst. II, vol. 41, pp. 603-614, 1994.
9. B. K. Horn and B. G. Schunck, Determining optical flow, Artif. Intell., vol. 17, pp. 185-203, 1981.
10. Mathworks Inc., Matlab Image Processing Toolbox, 4.1 ed. Natick, MA, June 1993.
11. B. C. Levy, M. B. Adams, and A. S. Willsky, Solution and linear estimation of 2-D nearest-neighbor models, Proc. IEEE, vol. 78, 1990.
12. J. S. Lim, Two-Dimensional Signal and Image Processing. Englewood Cliffs, NJ: Prentice-Hall, 1990.
13. W. Lu and A. Antoniou, Two-dimensional Digital Fillers. New York: Marcel Dekker, 1992.
14. M. R. Luettgen, W. C. Karl, A. S. Willsky, and R. R. Tenney, Multiscale representations of Markov random fields, IEEE Trans. Signal Processing, vol. 41, p. 3377, Dec. 1993.
15. A. R. Mitchell and D. F. Griffiths, The Finite Difference Method in Partial Differential Equations. New York: Wiley, 1980.
16. N. A. Pendergrass, S. K. Mitra, and E. I. Jury, Spectral transformations for two-dimensional digital filters, IEEE Trans. Circuits Syst., vol. CAS-23, pp. 26-35, 1976.