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Abstrakty
In this paper, a new method for order determination of two-dimensional autoregressive moving-average (2-D ARMA) models is proposed. In the method proposed, the ARMA model order is dependent on the minimum eigenvalues of a covariance matrix derived from the observed data. The 2-D ARMA model is assumed to be causal, stable, linear, and spatial shift-invariant with p1 x p2 quarter plane (QP) support. Numerical simulations are presented to illustrate the importance of this new approach in model order determination.
Czasopismo
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Tom
Strony
49--53
Opis fizyczny
Bibliogr. 12 poz., rys.
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autor
autor
autor
- Electrical Engineering Department, Amirkabir University of Technology, 424 Hafez Ave., Tehran, Iran, 15914, mahdiye.sadabadi@gmail.com
Bibliografia
- [1] Aksasse B., Radouane L., Two-dimensional autoregressive (2-D AR) model order estimation, IEEE Trans. Signal Processing, Vol. 47, No. 7, 1999, pp. 2072-2077.
- [2] Aksasse B., Badidi L., Radouane L., A rank lest based approach to order estimation - part I: 2-d AR models application, IEEE Trans. Signal Processing, Vol. 47, No. 7, 1999, pp. 2069-2072.
- [3] Cadzow J.A., Ogino K., Two-dimensional spectral estimation, IEEE Trans. Acoustics, Speech, and Signal Processing, Vol. ASSp-29, No. 3, 1981, pp. 396-401.
- [4] Kizilkaya A., Kayran A.H., Estimation of 2-D ARMA model parameters by using equivalent AR approach, Journal of the Franklin Institute, Vol. 342, No. 1, 2005, pp. 39-67.
- [5] Kizilkaya A., Yetis C.M., Kayran A.M., Seker S., Estimation of the 2-D ARMA model parameters based on the equivalent MA approach, Proc. IASTED Int. Conf. Circuits, Signals, and Systems (CSS’06), San Francisco, California, USA, 2006, pp. 263-268.
- [6] Li H., Sun W., Stoica P., Li J., Two-dimensional system identification using amplitude estimation, IEEE Signal Processing Letters, Vol. 9, No. 2, 2002, pp. 61-63.
- [7] Rital S., Meziane A., Rziza M., Aboutajdine D., Two-dimensional non-Gaussian autoregressive model order determination, IEEE Trans. Signal Processing, Vol. 9, No. 12, 2002, pp. 426-428.
- [8] Sadabadi M.S., Shafiiee M., Karrari M., AR order determination of a 2-D ARMA model, Proc. European Control Conf. 2007 (ECC07), Greece, 2007, pp. 3877-3882.
- [9] Sadabadi M.S., Shafiiee M., Karrari M., MA order determination of a two-dimensional ARMA model using samples correlation, Proc. ICEE 2007, Tehran, Iran, 2007, pp. 136-140.
- [10] Sadabadi M.S., Shafiiee M., Karrari M., Determination of two-dimensional ARMA model order using rank test based approach, Proc. 16th IEEE Conf. Control and Applications (CCA), Singapore, 2007, pp. 1156-1160.
- [11] Zhang Q., Mikhael W.B., Roman J.R., Davis D.W., Two new model order selection approaches for ARMA system modeling using the two-dimensional frequency domain least square algorithm, Proc. IEEE ISCAS, Vol. 5, 1998, pp. 297-300.
- [12] Zhang X.-D., Cheng J., High resolution two-dimensional ARMA spectral estimation, IEEE Trans. Signal Processing, Vol. 39, 1991, pp. 765-770.
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Bibliografia
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bwmeta1.element.baztech-article-BAT5-0033-0062