Lambert函数的界及其在用户合作中断分析中的应用
Bounds on the Lambert function and their application to the outage analysis of user cooperation
摘要：
用对数或指数方程表示的问题通常在其解中使用Lambert $W$函数。为了更好地理解方程参数之间的关系，推导了$W$的展开式、近似式和界。在本文中，我们专注于$W$的分支之一，表示为$W_{-1}$，我们推导出易于处理的上限和下限，我们说明了它们的有用性，在识别条件下，用户合作可以产生较低的中断概率比非合作传输。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
