On the Stability of the Foschini-Miljanic Algorithm with Uncertainty over Channel Gains
On the Stability of the Foschini-Miljanic Algorithm with Uncertainty over Channel Gains
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DOI：
10.23919/ecc.2019.8795903
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发表时间：
2019-02
期刊：
影响因子：
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通讯作者：
Giannis Moutsinas;Weisi Guo;Themistoklis Charalambous
中科院分区：
文献类型：
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作者：
Giannis Moutsinas;Weisi Guo;Themistoklis Charalambous
无线网络中的分布式功率控制面临着与其稳定性相关的挑战。当信道状态和发送代理的完美信息是可用的，以前的工作表明，稳定性条件可以知道。当参数空间上存在不确定性时，稳定性就不太好理解了。在这项工作中，我们研究了参数的不确定性和网络结构的稳定性和可扩展性的一个著名的分布式功率控制，即Foschini-Miljanic算法的影响。更具体地说，我们推导出概率条件相对于该系统是稳定的信道分布的参数。此外，我们还研究了这些参数对平面上不同节点分布的影响。数值例子验证了我们的理论结果。
Distributed power control in wireless networks faces challenges related to its stability. When perfect information of channel states and transmitting agents are available, previous work has shown that the stability conditions can be known. When there is uncertainty over the parameter space, stability is not well understood. In this work, we study the impact of parameter uncertainty and network structure on the stability and scalability of a well known distributed power control, namely the Foschini-Miljanic algorithm. More specifically, we derive probabilistic conditions with respect to the parameters of the channel distributions for which the system is stable. Furthermore, we study the effects of these parameters for different node distribution on the plane. Numerical examples validate our theoretical results.