A Survey on Synthesis of Resistive n-port Networks

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 nport 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.