Order evaluation for realization of MIMO multidimensional systems

This paper presents the order evaluation method for the multi-input and multi-output (MIMO) multidimensional (n-D) systems realization obtained by the new elementary operation approach (NEOA) proposed by the co-authors recently. It turns out that the proposed order evaluation method can obtain the exact order of the realization produced by the NEOA procedures for a given n-D transfer matrix without actually conducting the constructive realization procedures. Examples are given to illustrate the main ideas as well as the effectiveness of the proposed method.