TY - GEN
T1 - Optimum Training for MIMO BPSK Transmission
AU - Alrashdi, Ayed
AU - Ben Atitallah, Ismail
AU - Ballal, Tarig
AU - Thrampoulidis, Christos
AU - Chaaban, Anas
AU - Al-Naffouri, Tareq Y.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2018/8/28
Y1 - 2018/8/28
N2 - In this paper, we derive an analytical expression for the bit error rate (BER) of binary phase shift keying (BPSK) symbols transmitted over a multiple-input multiple-output (MIMO) system under channel estimation errors. In this wireless communications system, the receiver uses the linear minimum mean squared error (LMMSE) estimator to estimate the channel matrix. The error in this estimation affects the following estimation that is used to recover the transmitted symbols. It is shown that the channel estimation error is Gaussian and hence the convex Gaussian min-max theorem (CGMT) can be applied to analyze the error of the signal estimation stage and finally obtain an expression for the BER. We use the BER expression to obtain the optimal pilot power allocation under a total transmit energy constraint. Numerical results show close matching between theory and simulations.
AB - In this paper, we derive an analytical expression for the bit error rate (BER) of binary phase shift keying (BPSK) symbols transmitted over a multiple-input multiple-output (MIMO) system under channel estimation errors. In this wireless communications system, the receiver uses the linear minimum mean squared error (LMMSE) estimator to estimate the channel matrix. The error in this estimation affects the following estimation that is used to recover the transmitted symbols. It is shown that the channel estimation error is Gaussian and hence the convex Gaussian min-max theorem (CGMT) can be applied to analyze the error of the signal estimation stage and finally obtain an expression for the BER. We use the BER expression to obtain the optimal pilot power allocation under a total transmit energy constraint. Numerical results show close matching between theory and simulations.
UR - http://hdl.handle.net/10754/630826
UR - https://ieeexplore.ieee.org/document/8446040/
UR - http://www.scopus.com/inward/record.url?scp=85053444586&partnerID=8YFLogxK
U2 - 10.1109/spawc.2018.8446040
DO - 10.1109/spawc.2018.8446040
M3 - Conference contribution
AN - SCOPUS:85053444586
SN - 9781538635124
BT - 2018 IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)
PB - Institute of Electrical and Electronics Engineers (IEEE)
ER -