Abstract
In this paper, analysis of fractional order passive RC low-pass filter circuit is presented. The time domain behaviors were expressed for different values of fractional order α. The output of fractional order low-pass filter for order α has been simulated by MATLAB software. The effect of fractional order α on frequency response is represented as simulation results. 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) and is presented and compared with the ideal response of the filter 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.
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