Concentration of Measure: Non-Asymptotic Analysis for Uplink MU-MIMO

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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.
Original languageEnglish
Title of host publication2022 IEEE Wireless Communications and Networking Conference (WCNC): Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781665442664
Publication statusPublished - 16 May 2022

Publication series

NameIEEE Wireless Communications and Networking Conference (WCNC): Proceedings
ISSN (Print)1525-3511
ISSN (Electronic)1558-2612


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