Some optimum four-terminal networks having given input and output shunt capacitances

The paper deals with the open-circuit transfer impedances of low-pass 4-terminal networks having given parasitic capacitances shunted across both input and output terminals. The discussion, in the first instance, is in terms of the poles and zeros of the transfer function, although physical realizations of optimum networks are also derived. The first part of the paper deals with the adjustment of the drivingpoint impedances to produce a transfer impedance having a maximum d.c. gain consistent with given pole and zero positions; various cases having two and three poles are considered. In the remainder of the paper optimum pole-zero patterns yielding maximum-gain/rise-time quotients consistent with monotonic response are obtained.