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

—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.

• Type: Journal
• Year: 2016
• Where: CORR
• Authors: Ioannis Chatzigeorgiou
• Keywords: CORR 2016, Education