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

Research output: Contribution to journalJournal article

Published

Journal publication date16/08/2013
JournalIEEE Communications Letters
Journal number8
Volume17
Number of pages4
Pages1505-1508
Early online date16/07/13
Original languageEnglish

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.