Operations Research Transactions ›› 2019, Vol. 23 ›› Issue (3): 47-62.doi: 10.15960/j.cnki.issn.1007-6093.2019.03.004

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

LIU Yafeng*   

  1. State Key Laboratory of Scientific and EngineeringComputing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and SystemsScience, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2019-03-01 Published:2019-09-09

Abstract: 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.

Key words: semi-definite relaxation, alternating optimization, multiuser interference channel, transceiver beamforming design, computational complexity, tight relaxation, MIMO detection, wirelesscommunication system

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