f-domain Analysis of Linear Circuits with Time-Varying Parameters via Integral Equations

This paper focuses on a preliminary study on the spectral analysis of linear time-varying circuits for the prediction of their stead-state and transient behavior. The proposed approach is based on the integral representation of the circuit equations in either the Fourier or Laplace domains. It provides the readers with an elegant and robust tool for the frequency-domain simulation of this class of circuits, enabling the direct inclusion of frequency-dependent elements. The feasibility and strength of the method are demonstrated on two illustrative examples consisting of a periodically linear time-varying parallel resonators and a simple time-varying circuit.