Power allocation games in wireless networks of multi-antenna terminals
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We consider wireless networks that can be modeled by multiple access channels in which all the terminals are equipped with multiple antennas. The propagation model used to account for the effects of transmit and receive antenna correlations is the unitary-invariant-unitary model, which is one of the most general models available in the literature. In this context, we introduce and analyze two resource allocation games. In both games, the mobile stations selfishly choose their power allocation policies in order to maximize their individual uplink transmission rates; in particular they can ignore some specified centralized policies. In the first game considered, the base station implements successive interference cancellation (SIC) and each mobile station chooses his best space-time power allocation scheme; here, a coordination mechanism is used to indicate to the users the order in which the receiver applies SIC. In the second framework, the base station is assumed to implement single-user decoding. For these two games a thorough analysis of the Nash equilibrium is provided: the existence and uniqueness issues are addressed; the corresponding power allocation policies are determined by exploiting random matrix theory; the sum-rate efficiency of the equilibrium is studied analytically in the low and high signal-to-noise ratio regimes and by simulations in more typical scenarios. Simulations show that, in particular, the sum-rate efficiency is high for the type of systems investigated and the performance loss due to the use of the proposed suboptimum coordination mechanism is very small.
KeywordsMIMO MAC Non-cooperative games Nash equilibrium Power allocation Price of anarchy Random matrix theory
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- 1.Grandhi, S. A., Vijayan, R., & Goodman, D. J. (1992). Distributed algorithm for power control in cellular radio systems. In Proc. of annual Allerton conf. on comm. control and computing, Sep. 1992. Google Scholar
- 4.Oh, S.-J., Olsen, T. L., & Wasserman, K. M. (2000). Distributed power control and spreading gain allocation in CDMA data networks. In IEEE Proc. of INFOCOM, March 2000 (Vol. 2, pp. 379–385). Google Scholar
- 9.Lasaulce, S., Suarez, A., Debbah, M., & Cottatellucci, L. (2007). Power allocation game for fading MIMO multiple access channels with antenna correlation. In ICST/ACM proc. of the international conf. on game theory in comm. networks (Gamecomm), Nantes, France, Oct. 2007. Google Scholar
- 14.Belmega, E. V., Lasaulce, S., & Debbah, M. (2008). Power control in distributed multiple access channels with coordination. In Internat. workshop on wireless networks: communication, cooperation and competition (WNC3), April 2008. Google Scholar
- 16.Cover, T. (1975). Some advances in broadcast channels. In Advances in communication systems (Vol. 4). San Diego: Academic Press. Google Scholar
- 18.Biglieri, E., Taricco, G., & Tulino, A. (2002). How far is infinity? Using asymptotic analyses in multiple-antennas systems. In Proc. of the intl symposium on software testing and analysis (ISSTA) 2002 (Vol. 1, pp. 1–6). Google Scholar
- 19.Dumont, J., Loubaton, P., & Lasaulce, S. (2006). On the capacity achieving transmit covariance matrices of MIMO correlated Rician channels: a large system approach. In IEEE Proc. of Globecom technical conference, Nov./Dec. 2006. Google Scholar
- 20.Tulino, A., & Verdu, S. (2004). Random Matrices and Wireless Communications. In Foundations and trends in comm. and inform. theory, NOW, the essence of knowledge, 2004. Google Scholar
- 26.Skupch, A., Seethaler, D., & Hlawatsch, F. (2005). Free probability based capacity calculation for MIMO channels with transmit or receive correlation. In International conference on wireless networks, communications and mobile computing, June 2005. Google Scholar
- 27.Belmega, E. V., Lasaulce, S., & Debbah, M. (2009). A trace inequality for positive definite matrices. Journal of Inequalities in Pure and Applied Mathematics (JIPAM), 10(1), 1–4. Google Scholar
- 28.Belmega, E. V., Jungers, M., & Lasaulce, S. (2009). A generalization of a trace inequality for positive definite matrices. Journal of Inequalities in Pure and Applied Mathematics (JIPAM) (under revision). Google Scholar