A survey on synthesis of resistive n-port networks

Abstract

A survey on the development of resistive network synthesis is presented. Tellegen's result is first introduced, which shows that paramountcy is the necessary and sufficient condition for synthesis if n<=3. Then, some more general cases are presented, including works by Cederbaum, Guillemin, Brown, Reed, Weinberg, and Boesch. These results range from necessary realizability conditions of general resistive n-port networks to realizability conditions of a subclass of such networks, which are mostly based on graph theory. Recently, there has been some new development on the realization of resistive n-port networks containing 2n terminals, motivated by mechanical network synthesis using the element extraction method.