Optimized Quality Factor of Fractional Order Analog Filters with Band-Pass and Band-Stop Characteristics

TL;DR

This paper explores fractional order filters with band-pass and band-stop features, optimizing their quality factors using genetic algorithms to achieve desired frequency responses, which are not possible with traditional integer order filters.

Contribution

It introduces a method to optimize quality factors of fractional order filters with specific frequency characteristics using genetic algorithms.

Findings

Optimized quality factors for FO filters achieved with genetic algorithms.

Parametric analysis of FO filters' impact on magnitude response.

Demonstrated advantages over conventional integer order filters.

Abstract

Fractional order (FO) filters have been investigated in this paper, with band-pass (BP) and band-stop (BS) characteristics, which can not be achieved with conventional integer order filters with orders lesser then two. The quality factors for symmetric and asymmetric magnitude response have been optimized using real coded Genetic Algorithm (GA) for a user specified center frequency. Parametric influence of the FO filters on the magnitude response is also illustrated with credible numerical simulations.