In Wireless Sensor Networks, two crucial parameters are lifetime of the network and optimal coverage for sensed region. This paper addresses the issues and challenges pertaining to these parameters for further investigation, and provides a method to approximate the energy utilization and optimal coverage inside the bottleneck zone for wireless sensor networks. The proposed analytical framework calculates correctly the network lifetime upper bound of wireless sensor networks. The derivation of the network lifetime upper bound is carried out using (i) network coding and (ii) network coding with duty cycle. Based on that, an approximate derivation is made and the corresponding results are obtained from the simulation study. The comparison of the results of the previous study and those obtained in this paper reveals that the actual network lifetime upper bound is lower in the present case. This is due to the assumption made by authors of previous work, on coder nodes’ presence throughout the bottleneck zone instead of only one hop distance away from the sink. In addition, the effect of coverage fraction in case of node failure, on network lifetime upper bound is derived for the previously reported and present model. The simulated results obtained from new derivation show that the coverage fraction is lesser than that obtained by previous model.

中文翻译：

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无线传感器网络的网络寿命和覆盖率分析

在无线传感器网络中，两个关键参数是网络的生存期和检测区域的最佳覆盖范围。本文针对与这些参数有关的问题和挑战进行进一步研究，并提供了一种方法来估算无线传感器网络瓶颈区域内的能量利用率和最佳覆盖范围。提出的分析框架可以正确计算无线传感器网络的网络寿命上限。网络寿命上限的推导是使用（i）网络编码和（ii）具有占空比的网络编码来进行的。在此基础上，进行了近似推导，并从仿真研究中获得了相应的结果。通过将先前研究的结果与本文获得的结果进行比较，可以发现，在这种情况下，实际的网络生存时间上限较低。这是由于先前工作的作者所做的假设，即整个瓶颈区域中编码节点的存在，而不是与接收节点仅一跳距离。另外，对于先前报告和当前的模型，得出了节点故障情况下覆盖率对网络生存期上限的影响。从新推导中获得的仿真结果表明，覆盖率要比以前的模型小。对于先前报告和当前的模型，得出了节点故障情况下覆盖率对网络生存期上限的影响。从新推导中获得的模拟结果表明，覆盖率要比以前的模型小。对于先前报告和当前的模型，得出了节点故障情况下覆盖率对网络生存期上限的影响。从新推导中获得的模拟结果表明，覆盖率要比以前的模型小。