Robust Rate Maximization Game Under Bounded Channel Uncertainty

被引:29
作者
Anandkumar, Amod J. G. [1 ]
Anandkumar, Animashree [2 ]
Lambotharan, Sangarapillai [1 ]
Chambers, Jonathon A. [1 ]
机构
[1] Univ Loughborough, Adv Signal Proc Grp, Sch Elect Elect & Syst Engn, Loughborough LE11 3TU, Leics, England
[2] Univ Calif Irvine, Dept Elect Engn & Comp Sci, Henry Samueli Sch Engn, Ctr Pervas Commun & Comp, Irvine, CA 92697 USA
基金
英国工程与自然科学研究理事会;
关键词
Channel-state information (CSI) uncertainty; game theory; Nash equilibrium; rate maximization; robust games; waterfilling; LINEAR PRECODING STRATEGIES; SPECTRUM MANAGEMENT; POWER-CONTROL; INTERFERENCE; SYSTEMS;
D O I
10.1109/TVT.2011.2171011
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We consider the problem of decentralized power allocation for competitive rate maximization in a frequency-selective Gaussian interference channel under bounded channel uncertainty. We formulate a distribution-free robust framework for the rate maximization game. We present the robust optimization equilibrium for this game and derive sufficient conditions for its existence and uniqueness. We show that an iterative waterfilling algorithm converges to this equilibrium under certain sufficient conditions. We analyze the social properties of the equilibrium under varying channel uncertainty bounds for the two-user case. We also observe an interesting phenomenon that the equilibrium moves toward a frequency-division multiple-access solution for any set of channel coefficients under increasing channel uncertainty bounds. We further prove that increasing channel uncertainty can lead to a more efficient equilibrium and, hence, a better sum rate in certain two-user communication systems. Finally, we confirm, through simulations, that this improvement in equilibrium efficiency is also observed in systems with a higher number of users.
引用
收藏
页码:4471 / 4486
页数:16
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