Theoretical Analysis of the Capture Probability in Wireless Systems with Multiple Packet Reception Capabilities
Theoretical Analysis of the Capture Probability in Wireless Systems with Multiple Packet Reception Capabilities
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DOI：
10.1109/tcomm.2012.021712.100782
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发表时间：
2012-04-01
影响因子：
8.3
通讯作者：
Zorzi, Michele
中科院分区：
文献类型：
--
作者：
Zanella, Andrea;Zorzi, Michele
在本文中，我们解决了计算n个干扰无线信号中的r个被“捕获”的概率问题，即，在具有足够大的信号干扰加噪声比(SINR)的情况下被接收，以通过具有多分组接收(MPR)和连续干扰消除(SIC)能力的接收器正确地解码信号。我们首先考虑没有SIC的纯MPR系统的更简单的情况，对于这种情况，我们提供了捕获分组的数量的分布的表达式，其计算复杂度与n和r成比例。这种分析使得研究作为接收方MPR能力的函数的系统吞吐量成为可能。然后，我们将分析推广到SIC系统。除了捕获概率和归一化系统吞吐量的精确表达式外，我们还推导出了更容易计算的近似表达式，并在一些实际场景中提供了准确的结果。最后，我们给出了一些案例研究的精选结果，目的是说明所提出的数学框架的潜力，并验证近似方法。
In this paper, we address the problem of computing the probability that r out of n interfering wireless signals are "captured," i.e., received with sufficiently large Signal to Interference plus Noise Ratio (SINR) to correctly decode the signals by a receiver with multi-packet reception (MPR) and Successive Interference Cancellation (SIC) capabilities. We start by considering the simpler case of a pure MPR system without SIC, for which we provide an expression for the distribution of the number of captured packets, whose computational complexity scales with n and r. This analysis makes it possible to investigate the system throughput as a function of the MPR capabilities of the receiver. We then generalize the analysis to SIC systems. In addition to the exact expressions for the capture probability and the normalized system throughput, we also derive approximate expressions that are much easier to compute and provide accurate results in some practical scenarios. Finally, we present selected results for some case studies with the purpose of illustrating the potential of the proposed mathematical framework and validating the approximate methods.