Generalization of Third-Order Low Pass Filters to the Fractional-Order Domain with Experimental Results

This paper is concerned with the generalization of continuous-time 3^rd order low-pass filters to the fractional order domain. Three fractional-order capacitors of the same order α are to be considered in the process of filter design. A complete mathematical analysis of the 3^rd order fractional low-pass filter is given with stability constraints taken into consideration. Finally, several low-pass active filter design examples are illustrated and discussed in the simulations section in terms of numerical MATLAB simulations, PSpice simulations and experimental results.