Realization using the Roesser model for implementations in distributed grid sensor networks

Authors:
Buddika Sumanasena;Peter H. Bauer
Affiliations:
Department of Electrical Engineering, University of Notre Dame, Notre Dame, USA;Department of Electrical Engineering, University of Notre Dame, Notre Dame, USA
Venue:
Multidimensional Systems and Signal Processing
Year:
2011

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Abstract

Using the Roesser model, a method for distributed information processing in grid sensor networks is presented by Sumanasena and Bauer (A Roesser model based multidimensional systems approach for grid sensor networks. Pacific Grove, California, 2009). The method can be used to implement linear systems in grid sensor networks. Unless information originating in a node can be conveyed over the entire sensor network in a single time slot, for a system described by the Roesser model to be implementable in real-time on a sensor network, the system matrices of the Roesser model have to assume a particular form. A necessary and sufficient condition for a proper transfer matrix to be realizable in the constrained Roesser model is established in this paper. A realization algorithm to derive the Roesser model of the desired form, given an admissible transfer matrix is derived. The analogues problem for the realization of non-proper transfer matrices is also addressed.