Synthesis of the ungrounded inductor with grounded amplifier realizations

The ungrounded inductor is approximated closely by the transmission matrix (1,Ls; g, 1), where L = CR2, by making g sufficiently small. A representation of this matrix is obtained by a form of synthesis procedure and realized in active-RC form, with L derived by inversion of a capacitor C, using a minimal number of grounded operational amplifiers of only one type. The theory has been confirmed experimentally by replacing an actual coil in single sections of prototype and shunt m-derived low-pass filter.