Synthesis of an arbitrary transfer function matrix using RC and one-ports and operational amplifiers†

Abstract

Synthesis of multi-port networks is attracting increasing attention in network theory. On the other hand comparatively little work has been reported on active RC multi-port transfer function synthesis. This paper presents an elegant synthesis procedure to realize any arbitrary rational m×n open-circuit voltage-transfer function matrix where m and n are, respectively, the numbers of the input and output ports. The realization results in a grounded network requiring (2m+l)n EC one-ports and (m + l)n grounded operational amplifiers and hence is attractive from the practical point of view.