A Passive Synthesis for Time-Invariant Transfer Functions

摘要

A passive transfer function synthesis based upon state-space techniques is presented. The method rests upon the formation of a coupling admittance which when synthesized by resistors and gyrators is to be loaded by capacitors whose voltages form the state. By the use of a Lyapunov transformation the coupling admittance is made positive-real, while further transformations allow internal dissipation to be moved to the source or the load. A general class of configurations applicable to integrated circuits is obtained which uses only grounded gyrators, resistors, and a minimal number of capacitors. The minimum number of resistors for the structure is also obtained. The technique illustrates how state-variable theory can be used to obtain results not yet available through other methods. (Author)