Rational Approximation in Systems Engineering pp 321-343 | Cite as

# Nested-Feedback-Loops Realization of 2-D Systems

Chapter

## Abstract

Algorithms are derived for representation of double power series by branched continued fractions. Some properties of the branched continued fractions are given. Two new alternative structures for realization of a two-dimensional, zero memory nonlinear transfer characteristic are proposed. These structures permit the design of 2-D systems with relatively low sensitivity of the transfer function to coefficient errors. Generalized equivalence transformations of branched continued fractions are also presented. Illustrative examples are included.

## Keywords

Power Series Continue Fraction Equivalence Transformation Continue Fraction Expansion Signal Flow Graph
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© Springer Science+Business Media New York 1982