Steady-state transmission through networks containing periodically operated switches

Abstract

THE GENERAL problem of transmitting signals through linear systems in which one or more parameters vary periodically with time has an extensive literature. One widely used method is based on Fourier series representation of the varying parameters. This leads to an infinite number of simultaneous linear equations expressing the relations between the coefficients in the corresponding Fourier series representation of the steady-state response. The solution of the equations can be expressed in terms of determinants of infinite order which in turn can be evaluated by various approximation techniques. In practical cases it is often permissible to neglect all but a few dominant components; the number of equations is thereby made finite and reasonably small.