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

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Bounds on the Lambert function and their application to the outage analysis of user cooperation. / Chatzigeorgiou, Ioannis.
In: IEEE Communications Letters, Vol. 17, No. 8, 16.08.2013, p. 1505-1508.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Chatzigeorgiou I. Bounds on the Lambert function and their application to the outage analysis of user cooperation. IEEE Communications Letters. 2013 Aug 16;17(8):1505-1508. Epub 2013 Jul 16. doi: 10.1109/LCOMM.2013.070113.130972

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@article{0e794913056f4dbdbce9780478ff6c98,
title = "Bounds on the Lambert function and their application to the outage analysis of user cooperation",
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.",
author = "Ioannis Chatzigeorgiou",
year = "2013",
month = aug,
day = "16",
doi = "10.1109/LCOMM.2013.070113.130972",
language = "English",
volume = "17",
pages = "1505--1508",
journal = "IEEE Communications Letters",
issn = "1089-7798",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "8",

}

RIS

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 -