How to Understand LMMSE Transceiver Design for MIMO Systems From Quadratic Matrix Programming. Xing, C., Li, S., Fei, Z., & Kuang, J. eprint, Princeton University Press, Princeton, 1, 2013.
abstract   bibtex   
In this paper, a unified linear minimum mean-square-error (LMMSE) transceiver design framework is investigated, which is suitable for a wide range of wireless systems. The unified design is based on an elegant and powerful mathematical programming technology termed as quadratic matrix programming (QMP). Based on QMP it can be observed that for different wireless systems, there are certain common characteristics which can be exploited to design LMMSE transceivers e.g., the quadratic forms. It is also discovered that evolving from a point-to-point MIMO system to various advanced wireless systems such as multi-cell coordinated systems, multi-user MIMO systems, MIMO cognitive radio systems, amplify-and-forward MIMO relaying systems and so on, the quadratic nature is always kept and the LMMSE transceiver designs can always be carried out via iteratively solving a number of QMP problems. A comprehensive framework on how to solve QMP problems is also given. The work presented in this paper is likely to be the first shoot for the transceiver design for the future ever-changing wireless systems.
@article{goldin2020chinese,
  title     = {How to Understand {LMMSE} Transceiver Design for {MIMO} Systems From
 
               Quadratic Matrix Programming},
  abstract  = {In this paper, a unified linear minimum mean-square-error ({LMMSE})
               transceiver design framework is investigated, which is suitable for a wide
               range of wireless systems. The unified design is based on an elegant and
               powerful mathematical programming technology termed as quadratic matrix
               programming ({QMP}). Based on {QMP} it can be observed that for different
               wireless systems, there are certain common characteristics which can be
               exploited to design {LMMSE} transceivers e.g., the quadratic forms. It is
               also discovered that evolving from a point-to-point {MIMO} system to
               various advanced wireless systems such as multi-cell coordinated systems,
               multi-user {MIMO} systems, {MIMO} cognitive radio systems,
               amplify-and-forward {MIMO} relaying systems and so on, the quadratic nature
               is always kept and the {LMMSE} transceiver designs can always be carried
               out via iteratively solving a number of {QMP} problems. A comprehensive
               framework on how to solve {QMP} problems is also given. The work presented
               in this paper is likely to be the first shoot for the transceiver design
               for the future ever-changing wireless systems.},
  author    = {Xing, Chengwen and Li, Shuo and Fei, Zesong and Kuang, Jingming},
  journal   = {eprint},
  year      = {2013},
  month     = {1},
  publisher = {Princeton University Press},
  address   = {Princeton},
  isbn      = {9780691200811},
  arxiv     = {1301.0080v4},
  keywords  = {cs.{IT}, math.{IT}},
  file      = {FULLTEXT:pdfs/000/000/000000421.pdf:PDF}
}

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