ABSTRACT
This chapter presents Gain-Bandwidth Theory for the case of a resistive generator and a frequency dependent load single matching problem. It also presents a slight modification of D. C. Youla's approach. The problem of analytic double matching theory will be considered, and the solution will be shown to follow from the methods of single matching theory. The chapter shows that the gain-bandwidth restrictions can be phrased in terms of single matching restrictions individually applied at source and load. As a preliminary to complex normalization, it describes the chain matrix of a lossless two-port. Gain-Bandwidth Theory was initially developed by R. M. Fano using the concept of the Darlington equivalent and later reformulated and made rigorous by Youla using complex normalization. Physically degeneracy means that a transmission zero of the load is partially extracted in its Darlington equivalent and that the remainder is left in the equalizer. The chapter provides various theorems for the gain-bandwidth restrictions in integral form.
