Extension of the schur-cohn stability test for 2-d ar quarter-plane model
IEEE Transactions on Information Theory, Volume 49, Number 11, pages 3099- 3106 - Novembre 2003
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.
BibTex references
@Article{ANRT2003_1309,
}
| author | = {Alata, O. and Najim, M. and Ramananjarasoa, C. and Turcu, F.}, | |
| title | = {Extension of the schur-cohn stability test for 2-d ar quarter-plane model.}, | |
| journal | = {IEEE Transactions on Information Theory}, | |
| number | = {11}, | |
| volume | = {49}, | |
| pages | = {3099- 3106}, | |
| month | = {Novembre}, | |
| year | = {2003}, | |
| keywords | = {2-D causal AR model, lattice representation, reflection coefficients matrices, Schur-Cohn stability test}, | |
| url | = {http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?isnumber=27922\&arnumber=1246037\&count=34\&index=30}, |