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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Analytical SIR for Self-Organizing Wireless Networks | Hindawi Publishing Corporation EURASIP Journal on Wireless Communications and Networking Volume 2009 Article ID912018 8 pages doi 10.1155 2009 912018 Research Article Analytical SIR for Self-Organizing Wireless Networks Abdurazak Mudesir 1 Mathias Bode 1 Ki Won Sung 2 and Harald Haas2 1School of Engineering and Science Jacobs University Bremen Campus Ring 12 28759 Bremen Germany 2Institute for Digital Communications The University of Edinburgh The Kings Buildings Edingburgh EH9 3JL UK Correspondence should be addressed to Abdurazak Mudesir a.mudesir@jacobs-university.de Received 14 May 2008 Revised 26 April 2009 Accepted 20 May 2009 Recommended by Visa Koivunen 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. Copyright 2009 Abdurazak Mudesir et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Introduction In a wireless communication environment characterized by dynamic channels high influence of .