Realization of A Bessel Bandpass Filter Using Fractional-Order Approach

The paper deals with the design, analysis and investigation of the fractional-order Bessel bandpass filter. The filter comprises of two fractional-capacitors FC
1
and FC
2
bearing exponents
$\alpha$
and
$\beta$
respectively varying from 0.1 to 1.0 with a step of 0.1. Here, both the frequency and the time domain analysis have been demonstrated. It has been found that, the proposed filter in fractional-domain provides very high bandwidth, i.e., in the GHz range. Thus, it is suitable for its utilization in high frequency applications. In this study, the frequency domain parameters such as centre frequency, bandwidth and quality factor are a function of fractional orders
$\alpha$
and
$\beta$
. This is evaluated mathematically, and has been shown using 3D plots by PYTHON programming.