Analytical SIR for self-organizing wireless networks

Authors:
Abdurazak Mudesir;Mathias Bode;Ki Won Sung;Harald Haas
Affiliations:
School of Engineering and Science, Jacobs University Bremen, Bremen, Germany;School of Engineering and Science, Jacobs University Bremen, Bremen, Germany;Institute for Digital Communications, The University of Edinburgh, Edingburgh, UK;Institute for Digital Communications, The University of Edinburgh, Edingburgh, UK
Venue:
EURASIP Journal on Wireless Communications and Networking
Year:
2009

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Abstract

The signal to interference ratio (SIR) in the presence of multipath fading, shadowing and path loss is a valuable parameter for studying the capacity of a wireless system. This paper presents a new generalized path loss equation that takes into account the large-scale path loss as well as the small-scale multipath fading. The probability density function (pdf) of the SIR for selforganising wireless networks with Nakagami-m channel model is analytically derived using the new path loss equation. We chose the Nakagami-m channel fading model because it encompasses a large class of fading channels. The results presented show good agreement between the analytical and Monte Carlo-based methods. Furthermore, the pdf of the signal to interference plus noise ratio (SINR) is provided as an extension to the SIR derivation. The analytical derivation of the pdf for a single interferer in this paper lays a solid foundation to calculate the statistics for multiple interferers.