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arXiv 1508.02253cs.ITmath.IT
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不同决策规则下感知和通信不完善的无线传感器网络平均错误概率

Average Error Probability in Wireless Sensor Networks with Imperfect Sensing and Communication for Different Decision Rules

Pedro H. J. Nardelli, Iran Ramezanipour, Hirley Alves, Carlos H. M. de Lima, Matti Latva-aho

摘要:

本文提出了一个框架来评估的概率,决策错误事件发生在无线传感器网络,包括传感和通信错误。我们考虑一个场景,传感器需要确定是否发生了一个给定的事件,根据其周期性的,嘈杂的,观察一个给定的信号。关于信号的这种信息需要被发送到融合中心,该融合中心决定在该特定观测时间的实际状态。通信链路-单跳或多跳-被建模为二进制对称信道,其可能具有不同的错误概率。融合中心的决策基于对与各个传感器观测相关联的接收信号的OR、AND、K-OUT-OF-N和MAJORITY布尔运算。我们推导出作为系统参数(例如传感器和跳数)和输入信号特性的函数的平均决策错误概率的封闭式方程。我们的分析表明,最佳决策规则与观测事件发生的频率和传感器数量密切相关。在我们的数值例子中,我们表明,与规则优于多数,如果这样的事件是罕见的,只有少数传感器。相反,如果有大量传感器或更均匀分布的事件发生,则MAJORITY是最佳选择。我们进一步表明,虽然使用的MAJORITY规则的错误概率渐近去0与传感器的数量增加,它也更容易受到更高的信道错误概率。

英文摘要:

This paper presents a framework to evaluate the probability that a decision error event occurs in wireless sensor networks, including sensing and communication errors. We consider a scenario where sensors need to identify whether a given event has occurred based on its periodic, noisy, observations of a given signal. Such information about the signal needs to be sent to a fusion center that decides about the actual state at that specific observation time. The communication links -- single- or multi-hop -- are modeled as binary symmetric channels, which may have different error probabilities. The decision at the fusion center is based on OR, AND, K-OUT-OF-N and MAJORITY Boolean operations on the received signals associated to individual sensor observations. We derive closed-form equations for the average decision error probability as a function of the system parameters (e.g. number of sensors and hops) and the input signal characterization. Our analyses show the best decision rule is closely related to the frequency that the observed events occur and the number of sensors. In our numerical example, we show that the AND rule outperforms MAJORITY if such an event is rare and there is only a handful number of sensors. Conversely, if there is a large number of sensors or more evenly distributed event occurrences, the MAJORITY is the best choice. We further show that, while the error probability using the MAJORITY rule asymptotically goes to 0 with increasing number of sensors, it is also more susceptible to higher channel error probabilities.

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。

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