Circuit implementation of high-resolution rational-powered membership functions in standard CMOS technology

This paper proposes the method to implement a general form of membership functions for fuzzy systems in CMOS technology. These membership functions are a general form of triangular types and those functions which are used in linguistic hedge fuzzy logic, hence can offer better performance in almost all applications. The comparison between the proposed method and previously reported works shows better performance in all parameters. Designed circuits to implement these types of membership functions are simulated using HSPICE by level 49 parameters (BSIM3v3) in 0.35 mu m standard CMOS technology. Current mode realization of the circuits leads to simple and intuitive configurations. The Rational Power Generator Module (RPGM) generates powers with the resolution of 0.03125 and using seven programming bits. The simulation results of RPGM demonstrate a RMS error of 1.42% and a maximum power consumption of 1.05 mW.