Polynomial Metamodel integrated Verilog-AMS for memristor-based mixed-signal system design

This paper proposes a two-level framework for memristor based mixed-signal design exploration. First, a Verilog-A memristor model is proposed which is not source-type dependent and has advantages over existing SPICE memristor models. It includes the threshold-type behavior and nonlinear dynamics while retaining memristor parameters that are useful for circuit design. Second, a POlynomial Metamodel integrated Verilog-AMS (Verilog-AMS-POM) is proposed to enable fast circuit-accurate system-level design space exploration of such circuits. The metamodeling technique is proposed to assist their design, modeling, and higher-level integration. A memristor based programmable Schmitt trigger oscillator is presented as a case study. Polynomial metamodels are created to facilitate the analysis and verification of the programmable oscillator. The coefficients of determination of the proposed metamodels demonstrate excellent fidelity. Verilog-AMS-POM simulation achieves over 30,000× speedup compared to SPICE simulations.