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On Chernoff Lower-Bound of Outage Threshold for Non-Central χ2-Distributed Beamforming Gain in URLLC Systems
Univ Surrey, Inst Commun Syst, 5GIC&6GIC, Guildford GU2 7XH, England..
Univ Surrey, Inst Commun Syst, 5GIC&6GIC, Guildford GU2 7XH, England..
Univ Surrey, Inst Commun Syst, 5GIC&6GIC, Guildford GU2 7XH, England..
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems. ABB Corp Res Sweden, Dept Automat Technol, S-72226 Västerås, Sweden.ORCID iD: 0000-0002-7474-4294
2024 (English)In: IEEE Transactions on Wireless Communications, ISSN 1536-1276, E-ISSN 1558-2248, Vol. 23, no 8, p. 8330-8344Article in journal (Refereed) Published
Abstract [en]

The cumulative distribution function (CDF) of a non-central chi(2) -distributed random variable (RV) is often used when measuring the outage probability of communication systems. For ultra-reliable low-latency communication (URLLC), it is important but mathematically challenging to determine the outage threshold for an extremely small outage target. This motivates us to investigate lower bounds of the outage threshold, and it is found that the one derived from the Chernoff inequality (named Cher-LB) is the most effective lower bound. This finding is associated with three rigorously established properties of the Cher-LB with respect to the mean, variance, reliability requirement, and degrees of freedom of the non-central chi(2) -distributed RV. The Cher-LB is then employed to predict the beamforming gain in URLLC for both conventional multi-antenna systems (i.e., MIMO) under first-order Markov time-varying channel and reconfigurable intellgent surface (RIS) systems. It is exhibited that, with the proposed Cher-LB, the pessimistic prediction of the beamforming gain is made sufficiently accurate for guaranteed reliability as well as the transmit-energy efficiency.

Place, publisher, year, edition, pages
The Institute of Electrical and Electronics Engineers (IEEE) , 2024. Vol. 23, no 8, p. 8330-8344
Keywords [en]
Ultra reliable low latency communication, Array signal processing, Wireless communication, Transmitters, Approximation algorithms, Power system reliability, MIMO communication, Chernoff bound, beamforming gain, non-central chi(2)-distribution, reliability, ultra-reliable low-latency communication (URLLC)
National Category
Telecommunications
Identifiers
URN: urn:nbn:se:kth:diva-355337DOI: 10.1109/TWC.2023.3348438ISI: 001329887800015Scopus ID: 2-s2.0-85182382563OAI: oai:DiVA.org:kth-355337DiVA, id: diva2:1908894
Note

QC 20241029

Available from: 2024-10-29 Created: 2024-10-29 Last updated: 2024-10-29Bibliographically approved

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