Steady-state analysis of sinusoidal time-variant networks applied to equivalent circuits for transmission networks

This paper describes the analysis of time-variant networks in the frequency domain applied to resistive, inductive, and capacitive sinusoidally varying networks. It leads to a common equivalent circuit. This equivalent circuit is based on some previous work done by Desoer and by the author. The equivalent circuit is applied to the analysis of resistive modulators, parametric amplifiers, and frequency multipliers. It is shown how simple time-invariant two-port equivalent circuits can be derived for these transmission networks, such that the practical engineer can obtain quick insight into their behavior. The derived linear two-port equivalent circuit can be used as a basis for a small-signal nonlinear analysis of the above mentioned transmission networks.