Analysis and Design of Optimized Fractional Order Low-Pass Bessel Filter
Ashu Soni, Maneesha Gupta
Abstract
This paper approximates the behavior of low-pass Bessel filter in fractional domain using the Interior search algorithm (ISA). A detailed analysis has been done with sensitivity analysis, W-plane stability and absolute percentage error (gain and cut-off frequency) to study the low-pass fractional order filter. The work focuses on the analysis and design of fractional filter with two cases. In the first case, the design and simulation of [Formula: see text] order low-pass Bessel filter has been done using MATLAB for [Formula: see text] value ranging from 0.1 to 0.9. SPICE simulation of 1.2, 1.5 and 1.9 order low-pass Bessel filter using fractional order capacitor of order [Formula: see text] with Tow–Thomas biquad have been performed. In the second case, low-pass ([Formula: see text] order Bessel filter has been simulated and designed using MATLAB, where [Formula: see text] and [Formula: see text] are two fractional order elements of a different order. SPICE simulation for different values of [Formula: see text] and [Formula: see text] have been done using two fractional order capacitors of [Formula: see text] and [Formula: see text] order with Tow–Thomas biquad.