Bounds on the Lambert function and their application to the outage analysis of user cooperation

Chatzigeorgiou, Ioannis (2013) Bounds on the Lambert function and their application to the outage analysis of user cooperation. IEEE Communications Letters, 17 (8). pp. 1505-1508. ISSN 1089-7798

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Abstract

Problems formulated in terms of logarithmic or exponential equations often use the Lambert W function in their solutions. Expansions, approximations and bounds on W have been derived in an effort to gain a better understanding of the relationship between equation parameters. In this paper, we focus on one of the branches of W, denoted as W_{-1}, we derive tractable upper and lower bounds and we illustrate their usefulness in identifying conditions under which user cooperation can yield a lower outage probability than non-cooperative transmission.

Item Type: Journal Article
Journal or Publication Title: IEEE Communications Letters
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2200/2208
Subjects:
Departments: Faculty of Science and Technology > School of Computing & Communications
ID Code: 65993
Deposited By: ep_importer_pure
Deposited On: 12 Aug 2013 10:58
Refereed?: Yes
Published?: Published
Last Modified: 11 Feb 2020 08:13
URI: https://eprints.lancs.ac.uk/id/eprint/65993

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