Emerging Technologies in Computing. First International Conference, iCETiC 2018, London, UK, August 23–24, 2018, Proceedings

Research Article

On the Equivalence Between Eigen and Channel Inversion Based Precoders

  • @INPROCEEDINGS{10.1007/978-3-319-95450-9_13,
        author={Khalid Hameed and Yasir Al-Yasir and Naser Parchin and Raed Abd-Alhameed and Peter Excell},
        title={On the Equivalence Between Eigen and Channel Inversion Based Precoders},
        proceedings={Emerging Technologies in Computing. First International Conference, iCETiC 2018, London, UK, August 23--24, 2018, Proceedings},
        proceedings_a={ICETIC},
        year={2018},
        month={7},
        keywords={Beamforming Channel inversion Eigenvalue decomposition Multi-user-MIMO Regularized zero forcing Signal to leakage and noise ratio},
        doi={10.1007/978-3-319-95450-9_13}
    }
    
  • Khalid Hameed
    Yasir Al-Yasir
    Naser Parchin
    Raed Abd-Alhameed
    Peter Excell
    Year: 2018
    On the Equivalence Between Eigen and Channel Inversion Based Precoders
    ICETIC
    Springer
    DOI: 10.1007/978-3-319-95450-9_13
Khalid Hameed1, Yasir Al-Yasir1, Naser Parchin1, Raed Abd-Alhameed,*, Peter Excell,*
  • 1: University of Bradford
*Contact email: r.a.a.abd@bradford.ac.uk, p.excell@glyndwr.ac.uk

Abstract

Multi-user MIMO precoding is crucial in modern and next generation wireless communication systems. In this paper the equivalence between two linear precoding methods using closed form solutions is investigated. The first one is the regularized zero forcing (RZF) algorithm and the second one is signal to leakage and noise ratio (SLNR). Three studies are presented: (1) comparison between the regularized and non-regularized versions; (2) finding a good regularization factor that can fit with all methods; (3) to present the equivalence of the methods in certain cases and the superiority of SLNR over RZF for user cases with more than a single antenna. A simple mathematical proof of the equivalence between RZF and SLNR beamformer implementations for the single antenna user case in a multi-user transmission scenario is presented: this matches simulation results.