Box-Relaxation for BPSK Recovery in Massive MIMO: A Precise Analysis under Correlated Channels
Type
Conference PaperKAUST Department
Communication Theory LabComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering
Electrical Engineering Program
Date
2020-07-27Online Publication Date
2020-07-27Print Publication Date
2020-06Permanent link to this record
http://hdl.handle.net/10754/664498
Metadata
Show full item recordAbstract
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/icc40277.2020.9149198Conference/Event name
ICC 2020 - 2020 IEEE International Conference on Communications (ICC)ISBN
978-1-7281-5090-1Additional 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