On Hybrid Emulation of Mem-Systems

The hybrid emulator is a mixed-mode electronic circuit which mimics the characteristics of a real device on its terminals. This paper describes a novel approach to the modeling and emulation of general memristive, memcapacitive, and meminductive systems based on digital signal processing. A microcontroller measures the independent port quantity (voltage or current), computes the response, and sets its value on a digitally controlled current or voltage source. The precision of emulation of some typical systems is studied. As the computational procedure may involve the use of numerical differentiation or the model itself may be ill-posed, the correct formulation of emulator algorithm plays a crucial role. The paper studies two techniques to improve the emulator performance: the transformation into the native state variables and the transformation into the integrator-only form.