Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Bounds on the Lambert function and their application to the outage analysis of user cooperation
AU - Chatzigeorgiou, Ioannis
PY - 2013/8/16
Y1 - 2013/8/16
N2 - 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.
AB - 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.
U2 - 10.1109/LCOMM.2013.070113.130972
DO - 10.1109/LCOMM.2013.070113.130972
M3 - Journal article
VL - 17
SP - 1505
EP - 1508
JO - IEEE Communications Letters
JF - IEEE Communications Letters
SN - 1089-7798
IS - 8
ER -