On optimum Chebyshev broad-band impedance-matching networks

Carlin and Amstutz's observation that published design methods for Chebyshev impedance-matching networks do not always result in optimum impedance-matching networks, when the total number of reactive elements are used as a basis for comparison, is confirmed and explained. Fano's method is used to obtain graphs illustrating the impedance-matching properties of fifth-order Chebyshev filters with the real zero of the reflection coefficient shifted to the right half plane. The information is useful for the solution of certain nondegenerate impedance-matching problems.