Performance analysis of fractional-order high-pass filter

Abstract

In this paper, analysis of fractional order passive RC high-pass filter circuit is presented. The time-domain expressions for different values of fractional order α were calculated. The output of fractional-order high-pass filter for order α has been simulated by MATLAB software. The effect of fractional order α on frequency response is observed. The design of these filters using an approximation of the fractional Laplacian operator is outlined. A fractance device of order α which uses usual expression sα is analyzed and presented using continuous fraction expansion (CFE) method. The fractional-order operator α is rationalized approximately by using different methods (Oustaloup, Newton and CFE method) that are presented and compared with the ideal response of circuit. The fractional-order circuits have better design flexibility than the integer-order circuits. The performance of integer-order circuit is improved by the replacement of fractional component as it has greater degree of freedom.