Gain-Bandwidth Theory for Optimizing Transmission through a Prescribed Lossless-Two-Port

A new variant of the gain-bandwidth problem involving transmission through a prescribed two-port is presented. It may be described as follows. Given a lossless two-port terminated in an open circuit, find the gainbandwidth constraints on the output voltage when the input of the twoport is excited by a finite generator through an arbitrary lossless equalizer. The theory is illustrated by the design of an equalizer to control step response.