Exact analysis of resonant transfer networks

A state-space approach is used to derive an exact closed-form solution for both the transient and steady-state response of a general resonant transfer network. The usual assumption that the ratio of the switch closure time ¿ to the switching period T, i.e. ¿/T, approaches zero is removed in the analysis. The analysis also gives the time-varying network function of the resonant transfer network in closed form and in Fourier series which in turn yields frequency spectra of the output of the resonant transfer network. The approach is simple and suitable for computer simulation and experiment.