Two-dimensional autoregressive (2-D AR) model order estimation

IEEE Transactions on Signal Processing

Volumn 47, Issue 7, 1999, Pages 2072-2077

  Aksasse, Brahim ^a   Radouane, Larbi ^a  

^a SIDI MOHAMED BEN ABDELLAH UNIVERSITY   (Morocco)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; PARAMETER ESTIMATION; TWO DIMENSIONAL;

AKAIKE INFORMATION CRITERION; BAYESIAN THEORY; INFORMATION THEORETIC CRITERIA; MINIMUM EIGENVALUE; ORDER ESTIMATION; TWO DIMENSIONAL AUTOREGRESSIVE;

COMPUTER SIMULATION;

EID: 0032657202     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.771063     Document Type: Article

References (21)

1. M. Tummala, "New algorithm for solving block matrix equations with applications in 2-D AR spectral estimation," IEEE Trans. Signal Processing, vol. 39, pp. 759-764, Mar. 1991.
2. P. Kiernan, "Two-dimensional AR spectral estimation using a twodimensional minimum free energy method," IEEE Trans. Signal Processing, vol. 43, pp. 3075-3081, Dec. 1995.
3. J. A. Cadzow and K. Ogino, "Two-dimensional spectral estimation," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-29, pp. 396-101, June 1981.
4. X.-D. Zhang and J. Cheng, "High resolution two-dimensional ARMA spectral estimation," IEEE Trans. Signal Processing, vol. 39 pp. 765-770, Mar. 1991.
5. A. Rosenfeld, Image Modeling. New York: Academic, 1981.
6. J. Lim, Two Dimensional Signal and Image Processing. Englewood Cliffs, NJ Prentice-Hall, 1990.
7. C. W. Therrien, T. F. Quatieri, and D. E. Dudgeon, "Statistical modelbased algorithms for image analysis," Proc. IEEE, vol. 74, pp. 532-551, 1986.
8. D. Gimeno, L. Torres, and J. R. Casas, "A new approach to texture coding using stochastic vector quantization," in Proc. IEEE ICIP, Austin, TX, Nov. 1994, vol. 2, pp. 119-123.
9. E. J. Delp, R. L. Kashyap, and O. R. Michell, "Image data compression using autoregressive time series models," Pattern Recognit., vol. 11, pp. 313-323, 1979.
10. S. Ranganath and A. K. Jain, "Two-dimensional linear prediction models-Part I: spectral factorization and realization," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, pp. 280-299, Feb. 1985.
11. H. Kaufman, J. W. Woods, S. Dravida, and A. M. Tekalp, "Estimation and identification of two-dimensional images," IEEE Trans. Automat. Contr., vol. AC-28, pp. 745-756, July 1983.
12. W.-R. Wu and A. Kundu, "Image estimation using fast modified reduced update Kaiman filter," IEEE Trans. Signal Processing, vol. 40, pp. 915-926, Apr. 1992.
13. H. Akaike, "A new look at the statistical model identification," IEEE Trans. Automat. Contr., vol. AC-19, pp. 716-723, 1974.
14. J. Rissanen, "Modeling by shortest data description," Automatica, vol. 14, pp. 465-71, 1978.
15. R. L. Kashyap, "Consistent estimation of the order of autoregressive models," presented at IEEE Contr. Syst., Conf. Decision Contr., 1980.
16. R. Shibata, "Selection of the order of an autoregressive model by Akaike's criterion," Biometrika, vol. 63, pp. 117-126, 1976.
17. G. Liang, D. M. Wilkes, and J. A. Cadzow, "ARMA model order estimation based on the eigenvalues of the covariance matrix," IEEE Trans. Signal Processing, vol. 41, pp. 3003-3009, Oct. 1993.
18. R. L. Kashyap and R. Chellapa, "Estimation and choice of neighbors in spatial-interaction models of images," IEEE Trans. Inform. Theory, vol. IT-29, pp. 60-72, Jan. 1983.
19. T. E. Hall and G. B. Giannakis, "Image modeling using inverse filtering criteria with application to texture images," in Proc. IEEE ICIP-94, Austin, TX, Nov. 1994, vol. 3, pp. 392-395.
20. T. Kaczorek, Two-Dimensional Linear Systems. Berlin, Germany: Springer-Verlag 1985.
21. B. T. O'Connor and T. S. Huang, "Stability of general two-dimensional recursive filters," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-26, pp. 550-560, 1978.