LTE和WiMAX尺寸标注的稳健方法
Robust methods for LTE and WiMAX dimensioning
摘要：
本文提出了一种分析模型，用于确定基于OFDMA的网络，如WiMAX和LTE系统的规模。在这样的系统中，用户需要多个子信道，这取决于他们的\SNR，因此取决于他们的位置和他们经历的阴影。当所需子信道的数目大于可用子信道的数目时，系统过载。我们给出了一个确切的，但不是封闭的表达的损失概率，然后给出一个算法的方法来获得的子信道的数量，保证损失概率小于给定的阈值。我们表明，高斯近似导致乐观的值，因此是不可用的。然后，我们介绍了埃奇沃思展开误差界，并表明，通过选择正确的顺序的扩展，可以有一个近似的尺寸值容易计算，但有保证的性能。由于得到的值是高度依赖于系统的参数，这变成相当不确定的，我们提供了一个程序的基础上的浓度不等式的泊松泛函，产生保守的尺寸。本文利用集中不等式的最新结果，建立了关于Edgeworth展开式的新结果。
英文摘要：
This paper proposes an analytic model for dimensioning OFDMA based networks like WiMAX and LTE systems. In such a system, users require a number of subchannels which depends on their \SNR, hence of their position and the shadowing they experience. The system is overloaded when the number of required subchannels is greater than the number of available subchannels. We give an exact though not closed expression of the loss probability and then give an algorithmic method to derive the number of subchannels which guarantees a loss probability less than a given threshold. We show that Gaussian approximation lead to optimistic values and are thus unusable. We then introduce Edgeworth expansions with error bounds and show that by choosing the right order of the expansion, one can have an approximate dimensioning value easy to compute but with guaranteed performance. As the values obtained are highly dependent from the parameters of the system, which turned to be rather undetermined, we provide a procedure based on concentration inequality for Poisson functionals, which yields to conservative dimensioning. This paper relies on recent results on concentration inequalities and establish new results on Edgeworth expansions.
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