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The antenna's geometry is characterized by self\u2010similar fractal patterns, enabling enhanced performance in dual frequency bands relevant to Wi\u2010Fi communication. Current research is trending towards the development of antennas capable of operating across various Wi\u2010Fi bands, and the emerging 6\u2009GHz band. In this article, there is also a focus on achieving ultra\u2010wideband functionality to cater to the requirements of future wireless technologies. Incorporation with Circuits and Systems: Ongoing efforts are directed at seamlessly integrating these antennas with RF circuits and communication systems to enhance their practical utility and applicability. The exploration of unconventional fractal shapes and the utilization of advanced optimization algorithms present promising avenues for enhancing antenna performance and achieving miniaturization. This research contributes to the advancement of compact and efficient antenna designs for wireless communication systems. Detailed considerations are given to the 2.4 and 5.55\u2009GHz bands to ensure compatibility with standard Wi\u2010Fi protocols. The designed circular fractal antenna is compared with the conventional circular patch antenna and the results were analyzed. At the resonating frequency of 2.4 and 5.55\u2009GHz, circular patch antenna has a reflection coefficient (<jats:italic>S<\/jats:italic><jats:sub>11<\/jats:sub>) of \u221218.1 and \u221213.51, respectively with a peak gain of 3.6\u2009dBi, whereas, the designed circular fractal antenna shows an improved reflection coefficient, <jats:italic>S<\/jats:italic><jats:sub>11<\/jats:sub> of \u221222.0 and \u221215.5\u2009dB at the same resonating frequency with a peak gain of 11.7920\u2009dBi. The radiation pattern shows that the antenna radiated in unidirectional pattern with the front\u2010to\u2010back ratio of 101.4 which is higher than circular patch antenna. 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