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Convergence of Power Control in a Random Channel Environment

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2 Author(s)
R. M. Karthik ; Centre for Electron. Design & Technol., Indian Inst. of Sci., Bangalore ; Joy Kuri

In this paper, we study the Foschini Miljanic algorithm, which was originally proposed in a static channel environment. We investigate the algorithm in a random channel environment, study its convergence properties and apply the Gerschgorin theorem to derive sufficient conditions for the convergence of the algorithm. We apply the Foschini and Miljanic algorithm to cellular networks and derive sufficient conditions for the convergence of the algorithm in distribution and validate the results with simulations. In cellular networks, the conditions which ensure convergence in distribution can be easily verified.

Published in:

IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference

Date of Conference:

Nov. 30 2008-Dec. 4 2008