Discrete multidimensional systems over Z(n)

摘要

We generalize the theory of multidimensional, discrete, linear, shift-invariant systems from the well-investigated case in which the signals take their values in a field, to the situation where these values belong to a finite ring of the form ZZ. Some basic systems theoretic properties are studied and characterized: autonomy, input-output decompositions, controllability, and observability. (c) 2007 Elsevier B.V. All rights reserved.