Analogue Circuits Real-Time Emulation based on Wave Digital Filter

Currently, we have no practical emulation solution for analogue and mixed-signal (AMS) circuits, unlike resolutions found for FPGA digital circuit emulation. This paper presents a high Q crystal oscillator circuit emulation based on Wave Digital Filter (WDF). An analogue circuit emulation method was used based on WDFs proposed in [1] to cover the entire flow of transforming an analogue circuit from a SPICE netlist towards FPGA hardware implementation. Although the WDF has been shown to be effective for circuits with linear elements, a proper method for dealing with nonlinear components, such as MOS transistors, is required. [2] proposed a WDF model for MOS transistors that can solve the connectivity problem in traditional nonlinear WDF models while maintaining analogue emulation accuracy and efficiency. As emulation examples, Resistor-Capacitor (RC), Common Source amplifier (CS), and high Q crystal oscillator circuits were implemented in WDF and compared to their SPICE simulations for verification purposes.