History and Progress of Fractional-Order Element Passive Emulators: A Review

Abstract

This paper presents a state-of-the-art survey in the area of fractional-order element passive emulators adopted in circuits and systems. An overview of the different approximations used to estimate the passive element values by means of rational functions is also discussed. A short comparison table highlights the significance of recent methodologies and their potential for further research. Moreover, the pros and cons in emulation of FOEs are analyzed.

Keywords

• circuit synthesis
• constant phase element
• fractional-order capacitor
• fractional-order element
• fractional-order emulator
• rc network
• rl network