The Determination of the Impulsive Response of Variable Networks

Starting with the differential equation relating the output and the input of a linear varying-parameter network, it is shown that the impulsive response of the system is related to a Green's function associated with the system through a linear operator which is the adjoint of the right-hand operator in the given differential equation. A perturbation procedure for the determination of the impulsive response of a slowly varying network is outlined. Use of the method is illustrated by a simple example involving a band width-modulated RC half-section.