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Standard and quasi-standard stochastic power control algorithms

机译：标准和准标准随机功率控制算法

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摘要

In an energy-efficient wireless communication system, transmit powers are minimized subject to predetermined signal-to-interference ratio (SIR) requirements. In this paper, a general framework for distributed stochastic power control (PC) algorithms is proposed, where the transmit powers are updated based on stochastic approximations. The proposed algorithms are distributed in the sense that no global information is needed in the power updates. Interference to each user is estimated locally via noisy observations. Two types of stochastic PC algorithms are studied: standard stochastic PC algorithms where the interference estimator is unbiased, and quasi-standard stochastic PC algorithms where the interference estimator is biased. The conditions under which the stochastic PC algorithms converge to the unique optimal solution are identified. Corresponding to two classes of iteration step-size sequences, two types of convergence, the probability one convergence and convergence in probability, are shown for both algorithms based on recent results in the stochastic approximation literature. Based on the theoretical results, some well-known stochastic PC algorithms, such as stochastic PC with matched filter receivers, and joint stochastic PC with blind minimum mean-squared error (MMSE) interference suppression, are revisited; several new stochastic PC algorithms, such as stochastic PC with minimum-power base-station assignment, and stochastic PC with limited diversity, are proposed. It is shown that these algorithms fall into either the standard or the quasi-standard stochastic PC framework. Simulation results are given to illustrate the performance of the proposed algorithms in practical systems.
机译：在高能效的无线通信系统中，要满足预定的信号干扰比（SIR）要求，将发射功率最小化。本文提出了一种用于分布式随机功率控制（PC）算法的通用框架，其中基于随机逼近来更新发射功率。所提出的算法在功率更新中不需要全局信息的意义上进行分布。对每个用户的干扰是通过嘈杂的观测值本地估计的。研究了两种类型的随机PC算法：干扰估计量为无偏的标准随机PC算法和干扰估计量有偏的准标准随机PC算法。确定了随机PC算法收敛到唯一最优解的条件。对应于两类迭代步长序列，基于随机逼近文献中的最新结果，两种算法都显示了两种类型的收敛，一种是概率收敛，一种是概率收敛。根据理论结果，重新讨论了一些著名的随机PC算法，例如具有匹配滤波器接收器的随机PC和具有最小最小均方误差（MMSE）干扰抑制的联合随机PC。提出了几种新的随机PC算法，例如具有最小功率基站分配的随机PC和具有有限分集的随机PC。结果表明，这些算法属于标准或准标准随机PC框架。仿真结果表明了该算法在实际系统中的性能。

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