Synthesis of biquadratic impedances with a specific seven-element network

The object of this paper is to identify the nonregular biquadratics that can be realized by a specific seven-element network. Renewed interest in the classical network synthesis arises in the synthesis of passive mechanical impedances. Recent work has shown that five-element networks are capable of realizing all regular biquadratics and a small portion of nonregular biquadratics. Based on the study of series-parallel six-element synthesis of biquadratics, a specific seven-element network was proposed, which is likely to realize a large range of nonregular biquadratics. The complete realizability conditions for this network will be defined and expressed in canonical form for biquadratics. The nonregular realizable region will then be explicitly characterized.