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On the Use of Padé Approximation for Performance Evaluation of Maximal Ratio Combining Diversity over Weibull Fading Channels

EURASIP Journal on Wireless Communications and Networking volume 2006, Article number: 058501 (2006) Cite this article

Abstract

We use the Padé approximation (PA) technique to obtain closed-form approximate expressions for the moment-generating function (MGF) of the Weibull random variable. Unlike previously obtained closed-form exact expressions for the MGF, which are relatively complicated as being given in terms of the Meijer G-function, PA can be used to obtain simple rational expressions for the MGF, which can be easily used in further computations. We illustrate the accuracy of the PA technique by comparing its results to either the existing exact MGF or to that obtained via Monte Carlo simulations. Using the approximate expressions, we analyze the performance of digital modulation schemes over the single channel and the multichannels employing maximal ratio combining (MRC) under the Weibull fading assumption. Our results show excellent agreement with previously published results as well as with simulations.

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Authors and Affiliations

  1. Department of Electrical Engineering, Center for Wireless Communications, The University of Mississippi, University, MS, 38677-1848, USA

    Mahmoud H. Ismail & Mustafa M. Matalgah

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  1. Mahmoud H. Ismail
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  2. Mustafa M. Matalgah
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Correspondence to Mustafa M. Matalgah.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Ismail, M.H., Matalgah, M.M. On the Use of Padé Approximation for Performance Evaluation of Maximal Ratio Combining Diversity over Weibull Fading Channels. J Wireless Com Network 2006, 058501 (2006). https://doi.org/10.1155/WCN/2006/58501

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  • DOI: https://doi.org/10.1155/WCN/2006/58501

Keywords

  • Monte Carlo Simulation
  • Fading Channel
  • Modulation Scheme
  • Exact Expression
  • Approximate Expression