Optimum Training for MIMO BPSK Transmission

Ayed M. Alrashdi; Ismail Ben Atitallah; Tarig Ballal; Christos Thrampoulidis; Anas Chaaban; Tareq Y. Al-Naffouri

doi:10.1109/SPAWC.2018.8446040

Optimum Training for MIMO BPSK Transmission

Ayed M. Alrashdi, Ismail Ben Atitallah, Tarig Ballal, Christos Thrampoulidis, Anas Chaaban, Tareq Y. Al-Naffouri

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Scopus citations

Abstract

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.

Original language	English (US)
Title of host publication	2018 IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Print)	9781538635124
DOIs	https://doi.org/10.1109/SPAWC.2018.8446040
State	Published - Aug 24 2018
Event	19th IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2018 - Kalamata, Greece Duration: Jun 25 2018 → Jun 28 2018

Publication series

Name	IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC
Volume	2018-June

Conference

Conference	19th IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2018
Country/Territory	Greece
City	Kalamata
Period	06/25/18 → 06/28/18

Bibliographical note

Publisher Copyright:
© 2018 IEEE.

Keywords

MIMO
bit error rate
least squares
measurement matrix uncertainties
power allocation
regularized least squares

ASJC Scopus subject areas

Information Systems
Electrical and Electronic Engineering
Computer Science Applications

Access to Document

10.1109/SPAWC.2018.8446040

Cite this

Alrashdi, A. M., Ben Atitallah, I., Ballal, T., Thrampoulidis, C., Chaaban, A., & Al-Naffouri, T. Y. (2018). Optimum Training for MIMO BPSK Transmission. In 2018 IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2018 Article 8446040 (IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC; Vol. 2018-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SPAWC.2018.8446040

@inproceedings{aeffdcad6c094b25abe6b14d8cfcc44e,

title = "Optimum Training for MIMO BPSK Transmission",

abstract = "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.",

keywords = "MIMO, bit error rate, least squares, measurement matrix uncertainties, power allocation, regularized least squares",

author = "Alrashdi, {Ayed M.} and {Ben Atitallah}, Ismail and Tarig Ballal and Christos Thrampoulidis and Anas Chaaban and Al-Naffouri, {Tareq Y.}",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 19th IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2018 ; Conference date: 25-06-2018 Through 28-06-2018",

year = "2018",

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day = "24",

doi = "10.1109/SPAWC.2018.8446040",

language = "English (US)",

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Alrashdi, AM, Ben Atitallah, I, Ballal, T, Thrampoulidis, C, Chaaban, A & Al-Naffouri, TY 2018, Optimum Training for MIMO BPSK Transmission. in 2018 IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2018., 8446040, IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC, vol. 2018-June, Institute of Electrical and Electronics Engineers Inc., 19th IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2018, Kalamata, Greece, 06/25/18. https://doi.org/10.1109/SPAWC.2018.8446040

Optimum Training for MIMO BPSK Transmission. / Alrashdi, Ayed M.; Ben Atitallah, Ismail; Ballal, Tarig et al.
2018 IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. 8446040 (IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC; Vol. 2018-June).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Optimum Training for MIMO BPSK Transmission

AU - Alrashdi, Ayed M.

AU - Ben Atitallah, Ismail

AU - Ballal, Tarig

AU - Thrampoulidis, Christos

AU - Chaaban, Anas

AU - Al-Naffouri, Tareq Y.

PY - 2018/8/24

Y1 - 2018/8/24

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.

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T3 - IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC

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ER -

Alrashdi AM, Ben Atitallah I, Ballal T, Thrampoulidis C, Chaaban A, Al-Naffouri TY. Optimum Training for MIMO BPSK Transmission. In 2018 IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2018. Institute of Electrical and Electronics Engineers Inc. 2018. 8446040. (IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC). doi: 10.1109/SPAWC.2018.8446040

Optimum Training for MIMO BPSK Transmission

Abstract

Publication series

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Bibliographical note

Keywords

ASJC Scopus subject areas

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