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    Box-Relaxation for BPSK Recovery in Massive MIMO: A Precise Analysis under Correlated Channels

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    BOX_LS_ver04.pdf
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    Description:
    Accepted manuscript
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    Type
    Conference Paper
    Authors
    Alrashdi, Ayed cc
    Sifaou, Houssem cc
    Kammoun, Abla cc
    Alouini, Mohamed-Slim cc
    Al-Naffouri, Tareq Y. cc
    KAUST Department
    Communication Theory Lab
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering
    Electrical Engineering Program
    Date
    2020-07-27
    Online Publication Date
    2020-07-27
    Print Publication Date
    2020-06
    Permanent link to this record
    http://hdl.handle.net/10754/664498
    
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    Abstract
    In this paper, we consider the problem of recovering a binary phase shift keying (BPSK) modulated signal in a massive multiple-input-multiple-output (MIMO) system. The recovery process is done using the box-relaxation method, in which the discrete set $\{\pm 1\}^{n}$ is relaxed to the convex set $[-1,\ +1]^{n}$ and solved by a convex optimization program followed by hard thresholding. We assume that the system has a Gaussian channel matrix with one sided left correlation. The entries of the noise vector are assumed to be independent and identically distributed (iid $\rangle$ zero-mean Gaussian. In this work, we precisely characterize the mean squared error (MSE) and the bit error rate (BER) of the box-relaxation decoder in the asymptotic regime where both dimensions grow simultaneously large at a fixed ratio. Numerical simulations validate the theoretical expressions derived in this paper.
    Citation
    Alrashdi, A. M., Sifaou, H., Kammoun, A., Alouini, M.-S., & Al-Naffouri, T. Y. (2020). Box-Relaxation for BPSK Recovery in Massive MIMO: A Precise Analysis under Correlated Channels. ICC 2020 - 2020 IEEE International Conference on Communications (ICC). doi:10.1109/icc40277.2020.9149198
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Conference/Event name
    ICC 2020 - 2020 IEEE International Conference on Communications (ICC)
    ISBN
    978-1-7281-5090-1
    DOI
    10.1109/ICC40277.2020.9149198
    Additional Links
    https://ieeexplore.ieee.org/document/9149198/
    https://ieeexplore.ieee.org/document/9149198/
    https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9149198
    ae974a485f413a2113503eed53cd6c53
    10.1109/ICC40277.2020.9149198
    Scopus Count
    Collections
    Conference Papers; Electrical and Computer Engineering Program; Communication Theory Lab; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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