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On the Nakagami-m Inverse Cumulative Distribution Function: Closed-Form Expression and Its Optimization by Backtracking Search Optimization Algorithm

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Abstract

The inverse cumulative distribution function (CDF) is utilized in several areas such as statistical applications, Monte Carlo methods and communication systems. In wireless communications, the Nakagami-m inverse CDF is widely used to obtain outage probabilities of systems. However, calculation of the Nakagami-m inverse CDF is troublesome and there is no a closed-form expression. Simpler and more accurate approximation for the Nakagami-m inverse CDF is derived in this paper. Moreover, coefficients of the proposed approximation are optimized by using backtracking search optimization algorithm which is a new evolutionary algorithm to solve optimization problems. The obtained results show that the proposed approximation and exact values of the Nakagami-m inverse CDF are in well agreement for all cases.

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Authors and Affiliations

  1. Department of Electrical and Electronics Engineering, Faculty of Engineering, Nigde University, 51240, Nigde, Turkey

    Yasin Kabalci

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  1. Yasin Kabalci
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Correspondence to Yasin Kabalci.

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Kabalci, Y. On the Nakagami-m Inverse Cumulative Distribution Function: Closed-Form Expression and Its Optimization by Backtracking Search Optimization Algorithm. Wireless Pers Commun 91, 1–8 (2016). https://doi.org/10.1007/s11277-016-3439-x

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  • DOI: https://doi.org/10.1007/s11277-016-3439-x

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