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Extension of the Schur-Cohn stability test for 2-D AR quarter-plane model

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4 Author(s)
Alata, O. ; IRCOM-SIC, Chasseneuil, France ; Najim, Mohamed ; Ramananjarasoa, C. ; Turcu, F.

The Schur-Cohn test plays an essential role in checking the stability of one-dimensional (1D) random processes such as autoregressive (AR) models, via the so-called reflection coefficients, partial correlations, or Schur-Szego coefficients. In the context of two-dimensional (2D) random field modeling, one of the authors recently proposed a 2D AR quarter-plane model representation using 2D reflection coefficients estimated by a fast recursive adaptive algorithm. Based on such 2D reflection coefficients, we can therefore derive two necessary stability conditions for a 2D AR quarter-plane model. One of these conditions can be considered as an extension of the Schur-Cohn stability criterion based on the 2D reflection coefficients.

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Information Theory, IEEE Transactions on  (Volume:49 ,  Issue: 11 )