无线通信系统设计中的两个优化问题和相关优化方法

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.

Two optimization problems in wireless communication system design and related optimization methods

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.