Modeling of two-dimensional systems using cumulants

The problem of obtaining the ARMA parameters of a 2-D system using slices of the output cumulant is considered. It is shown that cumulant slices can be used to identify the AR part of the model only if the system is causal and the denominator is product separable. With these restrictions, a computationally feasible method of determining the order of the denominator polynomials and finding the denominator polynomial coefficients is obtained. Existing methods can then be used to produce the numerator polynomial coefficients. The method is then verified through simulations.<>