摘要
无线通信系统设计中的许多问题可建模为优化问题.一方面,这些优化问题常常具有高度的非线性性,一般情况下难于求解;另一方面,它们又有自身的特殊结构,例如隐含的凸性、可分性等.利用优化的方法结合问题的特殊结构求解和处理无线通信系统设计问题是近年来学术界研究的热点.本文重点讨论无线通信系统设计中的两个优化问题和相关优化方法,包括多用户干扰信道最大最小准则下的联合传输/接收波束成形设计和多输入多输出(Multi-Input Multi-Output,MIMO)检测问题,主要介绍现代优化技术结合问题的特殊结构在求解和处理上述两个问题的最新进展.
Many problems arising from wireless communication system design can be formulated as optimization problems.On the one hand,these optimization problems are often non-convex and highly nonlinear and thus are difficult to solve;on the other hand,these problems have their own special structures such as(hidden)convexity and separability.Recently applying mathematical optimization methods to solve/deal with these problems while judiciously taking care of their special structures is a hot research topic.This(survey)paper aims to introduce two optimization problems in wireless communication system design,max-min fairness linear transceiver design problem and MIMO detection problem,and related optimization methods.This paper will focus on the above two problems and overview recent advances of applying mathematical optimization techniques to solve/deal with them by exploiting their special structures.
作者
刘亚锋
LIU Yafeng(State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science.Chinese Academy of Sciences,Beijing 100190,China)
出处
《运筹学学报》
北大核心
2019年第3期47-62,共16页
Operations Research Transactions
基金
国家自然科学基金(Nos.11688101,11671419,11631013,11571221)
北京市自然基金重点专项(No.L172020)
国家发改委科学大数据公共服务平台与创新应用示范项目(No.2016-999999-65-01-000696-01)
关键词
半正定松弛
变量交替最优化
多用户干扰信道
联合传输/接收波束成形设计
计算复杂性
紧松弛
MIMO检测
无线通信系统
semi-definite relaxation
alternating optimization
multiuser interference channel
transceiver beamforming design
computational complexity
tight relaxation
MIMO detection
wireless communication system
