SPICE-compatible behavioral phase-space simulation techniques for phase-locked systems

In this paper we present nonlinear phase-space-vs.-time simulation techniques for phase-locked systems. Eliminating the "two time scale" problem, (the disparity between the VCO and loop time constants), results in a two to three order magnitude speed up compared to traditional voltage-vs-time simulations at the macro-model or transistor level. Building blocks for the phase-space simulation approach are developed. Application examples demonstrate the flexibility, accuracy and efficiency of the method.