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Joint Estimation of Clock Skew and Offset in Pairwise Broadcast Synchronization Mechanism

机译：成对广播同步机制中时钟偏斜和偏移的联合估计

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摘要

The problem of jointly estimating clock skew and offset for wireless sensor networks (WSNs) in a pairwise broadcast synchronization (PBS) protocol is considered. The random part of the delay is supposed to be an exponential random variable. We consider two estimators, i.e., joint maximum-likelihood estimator (JMLE) and generalized ML-like estimator (GMLLE) proposed by Leng and Wu . For both estimators, the corresponding algorithms are explicitly derived and presented. For the GMLLE, the corresponding performance bound based on the reduced set of observations is derived and the optimal value of a user-defined parameter is identified accordingly. At last, analytical results are corroborated by numerical experiments. We observe that: (i) JMLE usually outperforms GMLLE at the cost of larger computational complexity; (ii) JMLE, while achieving the same estimation accuracy as that of the LP method presented in , enjoys significantly lower computational complexity than that of the latter.
机译：考虑了在成对广播同步（PBS）协议中共同估计无线传感器网络（WSN）的时钟偏斜和偏移的问题。延迟的随机部分应该是指数随机变量。我们考虑两个估计量，即Leng和Wu提出的联合最大似然估计量（JMLE）和广义ML-like估计量（GMLLE）。对于这两个估计量，将明确导出并给出相应的算法。对于GMLLE，基于减少的一组观测值得出相应的性能界限，并相应地标识用户定义参数的最佳值。最后，数值实验证实了分析结果。我们观察到：（i）JMLE通常以更大的计算复杂度为代价胜过GMLLE； （ii）JMLE在达到与LP方法相同的估计精度的同时，其计算复杂度明显低于后者。

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