TY - GEN
T1 - Box-Relaxation for BPSK Recovery in Massive MIMO: A Precise Analysis under Correlated Channels
AU - Alrashdi, Ayed
AU - Sifaou, Houssem
AU - Kammoun, Abla
AU - Alouini, Mohamed-Slim
AU - Al-Naffouri, Tareq Y.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/664498
UR - https://ieeexplore.ieee.org/document/9149198/
U2 - 10.1109/ICC40277.2020.9149198
DO - 10.1109/ICC40277.2020.9149198
M3 - Conference contribution
SN - 978-1-7281-5090-1
BT - ICC 2020 - 2020 IEEE International Conference on Communications (ICC)
PB - IEEE
ER -