The one-dimensional (1-D) reduction method of Badreddin-Mansour is extended to two-dimensional (2-D) discrete systems. It is found by counterexample that, contrary to the 1-D case, stability in general is not guaranteed for the reduced model. However, stability is guaranteed for the reduced model if the original system is stable in the following two cases: (1) the original system is of the separable type; and/or (2) the original system is of dimension one in each of the horizontal and vertical propagation sections, i. e. , a 1h-1v system. Several examples are given to illustrate the reduction procedure and its effect on stability.
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