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arXiv cs/0512014cs.ITmath.IT
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多载波CDMA系统能量有效功率控制的博弈方法

A Game-Theoretic Approach to Energy-Efficient Power Control in Multi-Carrier CDMA Systems

Farhad Meshkati, Mung Chiang, H. Vincent Poor, Stuart C. Schwartz

摘要:

提出了一种研究多载波CDMA系统功率控制的博弈模型。功率控制被建模为一个非合作博弈,其中每个用户决定多少功率发送到每个载波,以最大限度地提高自己的效用。这里考虑的效用函数测量每焦耳消耗的能量在所有载波上传输的可靠比特的数量,并且特别适合于能量效率很重要的网络。用户策略的多维性质和效用函数的非准凹性使得多载波问题比单载波或基于吞吐量的效用情况更具挑战性。它示出,对于所有的线性接收器,包括匹配滤波器,解相关器,和最小均方误差(MMSE)检测器,用户的效用最大化时,用户只发送其“最佳”载波。这是需要最少功率量以在接收器的输出处实现特定目标信号与干扰加噪声比(SINR)的载波。研究了该功率控制博弈的纳什均衡的存在性和唯一性。特别是,条件必须满足的信道增益的纳什均衡存在,和均衡的载波之间的用户分布的特点。此外,迭代和分布式算法达到平衡(当它存在)。结果表明,所提出的方法相比,一个单载波系统,也是一个多载波系统中,每个用户最大限度地提高其效用在每个载波独立的总效用在平衡实现显着改善。

英文摘要:

A game-theoretic model for studying power control in multi-carrier CDMA systems is proposed. Power control is modeled as a non-cooperative game in which each user decides how much power to transmit over each carrier to maximize its own utility. The utility function considered here measures the number of reliable bits transmitted over all the carriers per Joule of energy consumed and is particularly suitable for networks where energy efficiency is important. The multi-dimensional nature of users' strategies and the non-quasiconcavity of the utility function make the multi-carrier problem much more challenging than the single-carrier or throughput-based-utility case. It is shown that, for all linear receivers including the matched filter, the decorrelator, and the minimum-mean-square-error (MMSE) detector, a user's utility is maximized when the user transmits only on its "best" carrier. This is the carrier that requires the least amount of power to achieve a particular target signal-to-interference-plus-noise ratio (SINR) at the output of the receiver. The existence and uniqueness of Nash equilibrium for the proposed power control game are studied. In particular, conditions are given that must be satisfied by the channel gains for a Nash equilibrium to exist, and the distribution of the users among the carriers at equilibrium is also characterized. In addition, an iterative and distributed algorithm for reaching the equilibrium (when it exists) is presented. It is shown that the proposed approach results in significant improvements in the total utility achieved at equilibrium compared to a single-carrier system and also to a multi-carrier system in which each user maximizes its utility over each carrier independently.

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