RLC Biquadratic Driving-Point Synthesis Using the Resistive Three-Port

The synthesis of a subclass of one-port biquadratic RLC functions, determined by the requirement of utilizing the minimum number of reactive elements in a transformerless configuration, is discussed. The network realization technique that is developed has the interesting property of yielding all networks in the desired subclass, in the sense that all possible
z
parameters of the associated resistive three-port and the range of allowable reactive element values, are determinable. Also indicated are inherent difficulties and present limitations on the extension of the method to immittance functions of order greater than two.