Statistical multiparameter sensitivity measure of gain and phase functions

Abstract

AbstractStatistical multiparameter sensitivity proposed by Rosenblum and Ghausi, for transfer function of a linear system, has been studied with regard to gain and phase sensitivities. It is shown that for small element changes a very simple relationship exists between these quantities. The integrand of these sensitivities are furthermore equivalent to the variance of magnitude and phase variations. Finally general formulas are derived which would simplify calculations for gain, phase as well as the transfer function. These formulas are helpful in optimization and comparison of various low sensitivity networks.