Time domain FDE based analysis of active fractional circuit

摘要

The active fractional circuit has been analyzed in time domain based on the fractional differential equation approach in this work. The fractional OTA-C filter has been adopted as the candidate circuit as it is an extension of the 1storder OTA-C filter which is an often cited active building block of the circuits and systems for signal processing. The derivative term of the fractional differential equation has been defined in Caputo's sense and the analytical solution of such equation has been determined via the Laplace transformation based methodology. By using the obtained solution, the time domain circuit responses to various inputs have been derived and the behaviors of the circuit have been analyzed with the aid of simulation.