Fractional Order Lowpass Filter Realization Using M-SBL Method

Several different research teams have recently started to demonstrate a strong interest in the topic of fractional-order circuits. A brand new approach to constructing fractional order low-pass filters (FOLPF) is detailed in this body of work. Finding a rational approximation of the fractional laplace operator
$s^{\alpha}$
is one of the most critical tasks in the process of creating fractional order filters. Comparison is made between the Continued Fraction Expansion method and the M-SBL approach, which are two of the most common approaches for approximating values. After that, the transfer function of the suggested FOLPF is figured out. After that, an operational amplifier is utilised in order to generate the indicated filter. A simulation of the suggested circuit is performed with the assistance of Texas Instruments' TINA Software. The results are far better than those achieved by the methods that are currently in use.