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2 Foundations of Computing and Decision Sciences

2 2000

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Minimal circuit and state space realization for generalized Kelly-Lochbaum discrete 2-D filters

Antoniou G. E.

Foundations of Computing and Decision Sciences

2000

Vol. 25, No. 2

89-95

A circuit realization, for generalized Kelly - Lochbaum discrete two - dimensional (2-D) filters, with minimum number of delay elements is proposed. Using the proposed circuit implementation the corresponding state space realization is derived from its block diagram representation. The dimension of the 2-D state space vector is minimal and the corresponding 2-D transfer function is characterized by the all-pass property. Indexing terms: Realization, Two-Dimensions, System Theory, State Space

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.