Optimal power control in interference-limited fading wireless channels with outage-probability specifications
Optimal power control in interference-limited fading wireless channels with outage-probability specifications
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DOI：
10.1109/7693.975444
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发表时间：
2002
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影响因子：
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通讯作者：
S. Kandukuri;Stephen P. Boyd
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文献类型：
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作者：
S. Kandukuri;Stephen P. Boyd
针对干扰受限无线网络中的瑞利衰落，提出了一种新的功率控制方法。我们的方法显式地考虑了接收信号和干扰功率的统计变化，并且在每个发射机/接收机对的衰落引起的中断概率的约束下优化地分配功率。对于这类问题，我们建立了几个结果。我们建立了严格的界限，将信道衰落引起的中断概率与忽略信号和干扰功率的统计变化时计算的信号干扰裕度联系起来。这允许我们表明，基于Perron-Frobenius特征值理论的众所周知的功率分配方法可以用来确定被证明接近实现最优(即最小)中断概率的功率分配。我们证明了在中断概率约束下最小化发射机功率和在功率约束下最小化中断概率的问题可以归结为一个几何规划问题。遗传算法是一类特殊的优化问题，通过变量的变换可以转化为一个非线性的凸优化问题，从而可以用内点方法进行全局有效的求解。我们还给出了一种快速迭代方法来寻找最优功率分配以最小化中断概率。
We propose a new method of power control for interference-limited wireless networks with Rayleigh fading of both the desired and interference signals. Our method explicitly takes into account the statistical variation of both the received signal and interference power and optimally allocates power subject to constraints on the probability of fading induced outage for each transmitter/receiver pair. We establish several results for this type of problem. We establish tight bounds that relate the outage probability caused by channel fading to the signal-to-interference margin calculated when the statistical variation of the signal and interference powers is ignored. This allows us to show that well-known methods for allocating power, based on Perron-Frobenius eigenvalue theory, can be used to determine power allocations that are provably close to achieving optimal (i.e., minimal) outage probability. We show that the problems of minimizing the transmitter power subject to constraints on outage probability and minimizing outage probability subject to power constraints can be posed as a geometric program (GP). A GP is a special type of optimization problem that can be transformed to a nonlinear convex optimization problem by a change of variables and therefore solved globally and efficiently by interior-point methods. We also give a fast iterative method for finding the optimal power allocation to minimize the outage probability.