Admittance matrix synthesis with RC common-ground networks and grounded finite-gain phase-inverting voltage amplifiers

Multiterminal common-ground networks of resistors, capacitors, and grounded finite-gain phase-inverting voltage amplifiers are considered in this paper. Following a review of methods for the analysis and synthesis of active RC networks, some problems in the application of Sandberg's synthesis method when phase-inverting voltage amplifiers serve as active elements are pointed out. It is proved that, in general, 2n phase-inverting voltage amplifiers are required for the synthesis of a general
n \times n
rational admittance matrix. A new structure is suggested and later simplified for special but important cases. Considerable saving in the amount of computations involved and in the number of passive components used are achieved. Examples are given.