Concentration of measure: non-asymptotic analysis for uplink MU-MIMO

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Abstract

This paper considers uplink multiple-user multiple-input multiple-output (MU-MIMO) systems, in which multiple single-antenna users transmit signals to a multiple-antenna base station (BS) simultaneously. The maximum-ratio-combining (MRC) detection scheme is applied at the BS. Our main focus is on the non-asymptotic concentration 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 tail probability and reveals a trade-off between the tail probability and the offset of the instantaneous rate from its mean value. Subsequently, based on the tail probability, a narrow interval that the instantaneous rate falls within with high probability is provided. We show that this narrow interval shrinks with the number of BS antennas. Finally, we use our non-asymptotic results 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
DOIs
Publication statusPublished - 16 May 2022

Publication series

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

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