A reliable PPV characterization method for memristor-based oscillators

Abstract

PPV (Perturbation Projection Vector) modeling is an unifying theory for the characterization of the general oscillators. However, for the emerging memristor-based oscillators, the existing PPV abstraction method, which is based on the direct PSS/PXF simulation, encounters the convergence problem due to the hidden state. In this paper we propose a reliable PPV abstraction method based on the conversion from PRC (Phase Response Curve) — a concept from the biological discipline. This conversion method is verified rigorously by transistor-level simulation of Colpitts and ring oscillators circuits. Then we apply the proposed method to the PPV characterization of the memristor-based oscillator, and successfully obtain its PPV from the conversion of PRC.