Analysis and Synthesis of Admittance Matrices of RLC:VGUGA Common-Ground Networks

This paper considers multiterminal common-ground networks of resistors, capacitors, self-inductors, and grounded unity-gain voltage amplifiers (VGUGAs). It is shown that the admittance matrices of such networks must have certain properties on the positive real axis of the complex frequency plane. A matrix with this set of properties is defined to be an
ry
matrix. A synthesis procedure is then given for realizing an
ry
matrix as the admittance matrix of one of these networks. The minimum number of inductors required in the synthesis of this
ry
matrix is established and the synthesis procedure can meet this requirement.