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A New Nakagami-m Inverse CDF Approximation Based on the Use of Genetic Algorithm

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Abstract

The inverse cumulative distribution function (CDF) appears in many important problems such as outage probability calculations in wireless communications. The Nakagami-m inverse CDF is difficult to compute numerically and is known to have no closed form. In this paper, we present a new and useful approximation to the Nakagami-m inverse CDF. The genetic algorithm is applied to optimize the coefficients of the proposed approximation. For typical cases in Nakagami-m wireless communication channels, it is shown through comprehensive computer simulations that the proposed method has high accuracy in most of the region of the exact CDF values.

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Authors and Affiliations

  1. Department of Electrical and Electronics Engineering, Faculty of Engineering, Erciyes University, 38039, Kayseri, Turkey

    Mehmet Bilim & Ibrahim Develi

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  1. Mehmet Bilim
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  2. Ibrahim Develi
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Correspondence to Mehmet Bilim.

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Bilim, M., Develi, I. A New Nakagami-m Inverse CDF Approximation Based on the Use of Genetic Algorithm. Wireless Pers Commun 83, 2279–2287 (2015). https://doi.org/10.1007/s11277-015-2520-1

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  • DOI: https://doi.org/10.1007/s11277-015-2520-1

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