Realization of Biquadratic Impedances as Five-Element Bridge Networks

This paper studies the passive network synthesis problem of biquadratic impedances as five-element bridge networks. By investigating the realizability conditions of the configurations that can cover all the possible cases, a necessary and sufficient condition is obtained for biquadratic impedances to be realizable as two-reactive five-element bridge networks. Based on the types of the two reactive elements, the discussion is divided into two parts, and a canonical form for biquadratic impedances is utilized to simplify and combine the conditions. Moreover, the realizability result for the biquadratic impedance is extended to the general five-element bridge networks. Some numerical examples are presented for illustration.