A new realization of MIMO multidimensional system for wireless sensor network

Wireless sensor networks composed of a large number of sensor nodes have emerged recently as a candidate for a wide variety of applications. This paper explores the Rosser state-space model realization problem in regular rectangular wireless sensor networks by using elementary operation. The new elementary operation approach (EOA) proposed recently by the authors for the single-input and single-output (SISO) case will be extended to the multi-input and multi-output (MIMO) case. It is shown that, due to the structural properties of Roesser model, the n-D realization problem can be reduced as an elementary operation problem of a certain n-D polynomial matrix for an n-D transfer matrix represented by a right matrix fraction description (RFD). Then, a general constructive realization procedure will be presented, which can guarantee a regular realization and completely overcome the singularity problem in Galkowski's approach. Finally, an illustrative example will be given to show the details and the effectiveness of the proposed approach.