TY - GEN
T1 - Concentration of Measure: Non-Asymptotic Analysis for Uplink MU-MIMO
AU - Feng, Junjuan
AU - Ngo, Hien Quoc
AU - Matthaiou, Michalis
PY - 2022/5/16
Y1 - 2022/5/16
N2 - This paper considers uplink multiple-usermultiple-input multiple-output (MU-MIMO) systems, inwhich multiple single-antenna users transmit signals toa multiple-antenna base station (BS) simultaneously. Themaximum-ratio-combining (MRC) detection scheme isapplied at the BS. Our main focus is on the non-asymptoticconcentration of measure analysis for the instantaneous rate.Firstly, the tail probability of the instantaneous rate is derived,from which, a trade-off function is proposed and optimized.Our solution determines the coefficient included in the tailprobability and reveals a trade-off between the tail probabilityand the offset of the instantaneous rate from its mean value.Subsequently, based on the tail probability, a narrow intervalthat the instantaneous rate falls within with high probability isprovided. We show that this narrow interval shrinks with thenumber of BS antennas. Finally, we use our non-asymptoticresults to theoretically characterize the outage probability.
AB - This paper considers uplink multiple-usermultiple-input multiple-output (MU-MIMO) systems, inwhich multiple single-antenna users transmit signals toa multiple-antenna base station (BS) simultaneously. Themaximum-ratio-combining (MRC) detection scheme isapplied at the BS. Our main focus is on the non-asymptoticconcentration of measure analysis for the instantaneous rate.Firstly, the tail probability of the instantaneous rate is derived,from which, a trade-off function is proposed and optimized.Our solution determines the coefficient included in the tailprobability and reveals a trade-off between the tail probabilityand the offset of the instantaneous rate from its mean value.Subsequently, based on the tail probability, a narrow intervalthat the instantaneous rate falls within with high probability isprovided. We show that this narrow interval shrinks with thenumber of BS antennas. Finally, we use our non-asymptoticresults to theoretically characterize the outage probability.
U2 - 10.1109/WCNC51071.2022.9771556
DO - 10.1109/WCNC51071.2022.9771556
M3 - Conference contribution
T3 - IEEE Wireless Communications and Networking Conference (WCNC): Proceedings
BT - 2022 IEEE Wireless Communications and Networking Conference (WCNC): Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
ER -