Implementing nonlinear oscillator macromodels using Verilog-AMS for accurate prediction of injection locking behaviors of oscillators

Oscillators are widely used in electronic systems but are inefficient to simulate using traditional methods. Due to this, the macromodeling of oscillators to speed up circuit simulations has been studied intensively, but various drawbacks have limited the applicability of the methods. Recently, a more physically correct approach to macro-model oscillators has been proposed. The new macromodel utilizes the results of Floquet analysis and successfully captures the nonlinear dynamics of oscillators and correctly predicts their phase response in the presence of interference. The new method requires far less computational effort compared to SPICE-level simulations. In this paper, we present an implementation of this nonlinear oscillator macromodel using the Verilog-AMS language. Several features in Verilog-AMS allow for a concise implementation. The Verilog-AMS macromodel is used to study the injection locking behavior of an LC oscillator, and the simulation results match full SPICE transient simulations accurately. An advantage of this implementation is that it can be used in many SPICE-like circuit simulators due to the wide availability of Verilog-AMS compilers and the standardization of the language.