Two new model order selection approaches for ARMA system modeling using the two-dimensional frequency domain least square algorithm

The linear algorithm for two-dimensional least square approximation in the frequency domain (2D-FD-LS) is well-established and has been applied successfully to 2D signal representation and image noise cancellation. But it does not give any explicit model order selection method. In this paper, two approaches for model order selection for the 2D-FD-LS algorithm are proposed. One is a rank-checking method, and the other is a grouping measure based method. Analysis and simulation results demonstrate the applicability of these new approaches. The first approach is recommended for deterministic (known spectrum) applications, while the second approach is more suitable for the random case.