88
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

A New Method for 2-D Moving Average Model Parameter Estimation

&

REFERENCES

  • T. Kaczorek, “Positive 2D fractional linear systems,” COMPEL Int. J. Comput. Math. Electr. Electron. Eng., Vol. 28, no. 2, pp. 341–52, Jul. 2009.
  • A. R. Ives, K. C. Abbott, and N. L. Ziebarth, “Analysis of ecological time series with arma (p, q) models,” Ecology, Vol. 91, no. 3, pp. 858–71, Mar. 2010.
  • M. Jachan, G. Matz, and F. Hlawatsch, “Time-frequency ARMA models and parameter estimators for underspread nonstationary random processes,” IEEE Trans. Signal Process., Vol. 55, no. 9, pp. 4366–81, Sep. 2007.
  • S. Lu, K. H. Ju, and K. H. Chon, “A new algorithm for linear and nonlinear ARMA model parameter estimation using affine geometry [and application to blood flow/pressure data],” IEEE Trans. Biomed. Eng., Vol. 48, no. 10, pp. 1116–24, Oct. 2001.
  • K. Mohammadi, H. R. Eslami, and R. Kahawita, “Parameter estimation of an ARMA model for river flow forecasting using goal programming,” J. Hydrol., Vol. 331, no. 1, pp. 293–99, Nov. 2006.
  • I. Rojas, O. Valenzuela, F. Rojas, A. Guillén, L. J. Herrera, H. Pomares, L. Marquez, and M. Pasadas, “Soft-computing techniques and ARMA model for time series prediction,” Neurocomputing, Vol. 71, no. 4, pp. 519–37, Jan. 2008.
  • A. H. Kayran, “Two-dimensional recursive autoregressive lattice analysis and synthesis models for spectral estimation,” Elektrik, Vol. 1, no. 1, pp. 51–80, Jan. 1993.
  • X.-D. Zhang, and J. Cheng, “High resolution two-dimensional ARMA spectral estimation,” IEEE Trans. Signal Process., Vol. 39, no. 3, pp. 765–70, Mar. 1991.
  • J. Cadzow, and K. Ogino, “Two-dimensional spectral estimation,” IEEE Trans. Acoust. Speech Signal Process., Vol. 29, no. 3, pp. 396–401, Jun. 1981.
  • M. Tummala, “New algorithm for solving block matrix equations with applications in 2-D AR spectral estimation,” IEEE Trans. Signal Process., Vol. 39, no. 3, pp. 759–64, Mar. 1991.
  • P. Kiernan, “Two-dimensional AR spectral estimation using a two-dimensional minimum free energy method,” IEEE Trans. Signal Process., Vol. 43, no. 12, pp. 3075–81, Dec. 1995.
  • M. Shafieierad, M. Shafiee, and M. Abedi, “Recursive identification of continuous two-dimensional systems in the presence of additive colored noise,” IETE J. Res., Vol. 60, no. 1, pp. 74–84, Jun. 2014., accepted.
  • X. Liu, and M. Najim, “A two-dimensional fast lattice recursive least squares algorithm,” IEEE Trans. Signal Process., Vol. 44, no. 10, pp. 2557–67, Oct. 1996.
  • J. Marple, and S. Lawrence, “Two-dimensional lattice linear prediction parameter estimation method and fast algorithm,” IEEE Signal Process. Lett., Vol. 7, no. 6, pp. 164–68, Jun. 2000.
  • B. Choi, “A recursive algorithm for solving the spatial Yule-Walker equations of causal spatial AR models,” Stat. Probab. Lett., Vol. 33, no. 3, pp. 241–51, May 1997.
  • I. Serban, F. Turcu, and M. Najim, “A Fast 2-D AR Parameter Estimation Algorithm Based on Functional Schur Coefficients,” IEEE Signal Process. Lett., Vol. 16, no. 12, pp. 1039–42, Dec. 2009.
  • B. Choi, “An order-recursive algorithm to solve the 3-D Yule-Walker equations of causal 3-D AR models,” IEEE Trans. Signal Process., Vol. 47, no. 9, pp. 2491–2502, Sep. 1999.
  • B. Aksasse, L. Badidi, and L. Radouane, “A rank test based approach to order estimation—Part I: 2-D AR models application,” IEEE Trans. Signal Process., Vol. 47, no. 7, pp. 2069–72, Jul. 1999.
  • B. Aksasse, and L. Radouane, “Two-dimensional autoregressive (2-D AR) model order estimation,” IEEE Trans. Signal Process., Vol. 47, no. 7, pp. 2072–77, Jul. 1999.
  • M. S. Sadabadi, M. Shaffie, and M. Karrari, “A new technique for order determination of two-dimensional arma models,” Syst. Sci., Vol. 34, no. 2, pp. 49–53, Jun. 2008.
  • M. S. Sadabadi, M. Shafiee, and M. Karrari, “Two-dimensional ARMA model order determination,” ISA Trans., Vol. 48, no. 3, pp. 247–53, Jul. 2009.
  • J. M. Francos, A. Z. Meiri, and B. Porat, “A unified texture model based on a 2-D Wold-like decomposition,” IEEE Trans. Signal Process., Vol. 41, no. 8, pp. 2665–78, Aug. 1993.
  • J. M. Francos, A. Narasimhan, and J. W. Woods, “Maximum likelihood parameter estimation of textures using a Wold-decomposition based model,” Image Process. IEEE Trans., Vol. 4, no. 12, pp. 1655–66, Dec. 1995.
  • J. M. Francos, A. Narasimhan, and J. W. Woods, “Maximum-likelihood parameter estimation of discrete homogeneous random fields with mixed spectral distributions,” Signal Process. IEEE Trans., Vol. 44, no. 5, pp. 1242–55, May 1996.
  • J. M. Francos, S. Member, and B. Friedlander, “Parameter estimation of two-dimensional moving average random fields,” IEEE Trans. Signal Process., Vol. 46, no. 8, pp. 2157–65, Aug. 1998.
  • X.-D. Zhang, “On the estimation of two-dimensional moving average parameters,” IEEE Trans. Automat. Contr., Vol. 36, no. 10, pp. 1196–99, Oct. 1991.
  • A. Kizilkaya, “On the Parameter Estimation of 2-D Moving Average Random Fields,” IEEE Trans. Circuits Syst. II Express Briefs, Vol. 54, no. 11, pp. 989–93, Nov. 2007.
  • Z. Shufang, and L. Renjie, “A rapid algorithm for on-line and real-time ARMA modeling,” in 5th International Conference on Signal Processing Proceedings, WCCC-ICSP 2000, Beijing, 2000, Vol. 1, pp. 230–33.
  • G. Martinelli, G. Orlandi, and P. Burrascano, “ARMA estimation by the classical predictor,” IEEE Trans. circuits Syst., Vol. C, no. 3, pp. 506–07, Dec. 1985.
  • D. Tjostheim, “Autoregressive modeling and spectral analysis of array data in the plane,” IEEE Trans. Geosci. Remote Sens., Vol. GE-19, no. 1, pp. 15–24, Jan. 1981.
  • T. Kaczorek, Positive 1D and 2D Systems. London: Springer, 2002.
  • A. Kizilkaya, and A. H. Kayran, “Estimation of 2-D ARMA model parameters by using equivalent AR approach,” J. Franklin Inst., Vol. 342, no. 1, pp. 39–67, Jan. 2005.
  • A. El-Jaroudi, and J. Makhoul, “Discrete all-pole modeling,” IEEE Trans. Signal Process., Vol. 39, no. 2, pp. 411–23, Feb. 1991.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.