Designing Of Fractional Order Legendre Filter Using Optimization Techniques

Fractional order filter has attracted the attention of international specialists due to its notable design flexibility and continuously stepped stopband attenuation rate. This study suggests an ideal design strategy for fractional-order Legendre low pass filters which is customized to design requirements, based on an meta-heuristic optimization technique. To attain the desired result, the magnitude response of the normalized Legendre low pass filter is modified by incorporating the fractional-order Legendre polynomial along with the suppression of ripples. The fractional order of the normalized Legendre low pass filter are calculated in accordance with specifications. The Flower Pollination Algorithm (FPA), which is a type of swarm-based optimization technique, is utilized to adjust the transfer function parameters of a fractional-order filter. The goal is to produce a magnitude response that is similar to the desired response mentioned earlier. This process results in the optimized design of a fractional-order Legendre filter. In order to demonstrate the viability of the suggested approach, a case study, stability analyses, LT-spice simulations, and an actual circuit are shown.