2-D QUADRATIC CONTINUED FRACTION EXPANDABLE SYSTEMS: MINIMAL STATE SPACE REALIZATION

摘要

In this paper two new two--dimensional (2--D) continued fraction expansions, having quadratic structure, are presented. Using their circuit realiza- tions, 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.