Analysis in the Frequency Domain
Finding the poles and evaluating the time domain response is a complicated process, which normally requires the use of a computer. It is, therefore, advisable to use all possible steps that may provide information about the network behavior without actually finding the full time-domain response. The systematic analysis of an electrical or electronic network entails formulating and solving the relevant Kirchhoff equations of equilibrium. The complexity of modern networks, and particularly integrated analog electronic circuits, often inhibits the mathematical tractability that underpins an engineering understanding of circuit behavior. The G. Kron–H. W. Bode equation in was derived expressly for investigating the voltage transfer function of a linear network to which an impedance element is appended between two network nodes. The most important result so far is that all network functions of any given network have the same denominator.