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Analytical and Closed-Form Expressions for the Distribution of Path Loss in Hexagonal Cellular Networks

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Abstract

The development of models that predict path loss in a wireless system is worthwhile since they offer valuable information without the need of expensive and time consuming measurements. In the modeling and simulation of cellular systems, a common assumption in path loss calculation is the circular shape of the cells. However, despite its simplicity, this approach has certain drawbacks. This paper proposes an alternative method that considers hexagonal-shaped cells. Exact analytical and approximate closed-form expressions for the path loss statistics are derived. The validity of the circular cell approximation is discussed. Simulated results and comparisons with measurement data in the literature validate the accuracy of the formulation. Finally, we investigate the impact of the size of the cells and the characteristics of the propagation medium on the path loss. The derived expressions simplify the analysis and system-level simulation of wireless networks. Compared to other methods, they give more accurate results in the calculation of path loss when hexagonal-shaped cells are employed.

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Authors and Affiliations

  1. Radio Communications Laboratory, Section of Applied and Environmental Physics, Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece

    Konstantinos B. Baltzis

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  1. Konstantinos B. Baltzis
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Correspondence to Konstantinos B. Baltzis.

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Baltzis, K.B. Analytical and Closed-Form Expressions for the Distribution of Path Loss in Hexagonal Cellular Networks. Wireless Pers Commun 60, 599–610 (2011). https://doi.org/10.1007/s11277-010-9962-2

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