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2-D quadratic continued fraction expandable systems: minimal state space realization

Antoniou G. E., Paraskevopoulos P. N., Varoufakis S. J.

Foundations of Computing and Decision Sciences

2000

Vol. 25, No. 3

149-159

In this paper two new two-dimensional (2-D) continued fraction expansions, having quadratic structure, are presented. Using their circuit realizations, which in fact are characterized by the minimum number of delay elements, minimal state space representations are derived. The matrices A, b, c' of the 2-D state space model are presented in generalized closed form. Two examples are given to illustrate the new realizations.