Synthesis of RC multiport impedance functions

This correspondence presents a method of realizing a set of open-circuit RC impedance functions
z_{11}, z_{12}, ,, , z_{22}
,
z_{23}
, ,, ,
z_{rr}
,,. A simple and systematic technique of determining the parameter matrices is developed by using linear transformations. A pertinent network is obtained through the realization of the conductance parameter matrix by a single-element-type network for the tree configuration, and the capacitance matrix is obtained by connecting unit capacitors to the appropriate nodes.