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    MIMO Capacity with Reduced RF Chains

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    Type
    Preprint
    Authors
    Guo, Shuaishuai
    Zhang, Haixia
    Alouini, Mohamed-Slim cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Date
    2019-01-12
    Permanent link to this record
    http://hdl.handle.net/10754/660860
    
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    Abstract
    This paper presents a remarkable advance for the understanding of MIMO capacity limits with insufficient RF chains. The capacity is characterized by the maximum mutual information given any vector inputs subject to not only an average power constraint but also a sparsity constraint. It is proven that the Gaussian mixture input distribution is capacity-achieving in the high signal-to-noise-ratio (SNR) regime. The optimal mixture coefficients and the covariance matrices of the Gaussian mixtures are derived and also the corresponding achievable capacity. For the special case with a single RF chain, the optimal mixture coefficients are shown to be approximately proportional to channel gains. The capacity is approximately the maximum-ratio combining (MRC) of multiple channels in the high SNR regime. We investigate the superiority of capacity-achieving techniques: Non-Uniform Spatial Modulation (NUSM) and Non-Uniform Beamspace Modulation (NUBM) by comparing them with the best antenna/beamspace selection (BAS/BBS) and the uniform spatial/beamspace modulation (USM/UBM). The comparison results reveal that the information-guided NUSM/NUBM is optimal in the high SNR regime. Numerical results are presented to validate our analysis.
    Sponsors
    We thank Prof. Ahmed Sultan-Salem and Prof. Peng Zhang for the helpful discussions.
    Publisher
    arXiv
    arXiv
    1901.03893
    Additional Links
    https://arxiv.org/pdf/1901.03893
    Collections
    Preprints; Electrical and Computer Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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