Sensitivity of Active Two-Ports

A possible measure for estimating the sensitivity of a complex performance function of a system with respect to variations in a complex variable, including the case where the function is not differentiable, is presented by defining the magnitude of the relative change in the complex function divided by the magnitude of the relative change in the complex variable. If the performance function is differentiable in the complex variable, the present definition equals the absolute value of the conventional defining equation of sensitivity. The sensitivity of a real performance function to changes in a complex variable is obtained as the special case of the present definition. As the application of the present definition to the class of function for which the Cauchy-Riemann equations are not satisfied, the sensitivities of the power wave transfer ratio and the transducer power gain to variations in the terminating immittances and in each component of circuit parameters are obtained. Then, in order to evaluate graphically the changes in these maximum sensitivities due to those in the terminating immittances, various sensitivity charts that are the distribution maps of maximum sensitivities on the Smith chart or the power wave reflection coefficient plane are developed.