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arXiv 1705.03099cs.ITmath.IT
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具有随机传感器位置的无限网络中定位误差的下界

Lower Bound on the Localization Error in Infinite Networks with Random Sensor Locations

Itsik Bergel, Yair Noam

摘要:

我们提出了新的下限上的均方误差(MSE)的位置估计的发射源通过网络的传感器被随机部署。传感器的位置被建模为一个均匀的泊松点过程。与以前的界限是所有传感器的特定位置的函数相比,我们提出了CRB型的预期均方误差的界限,也就是说,我们首先推导出作为传感器位置的函数的MSE上的CRB,然后对传感器位置的分布进行预期。因此,这些界限不是特定传感器配置的函数,而是传感器统计的函数。因此,这些新的边界可以在传感器部署之前进行评估,并提供对设计问题的见解,例如必要的传感器密度,信道模型的影响,信号功率的影响等。导出的界限是简单的评估,并提供了一个很好的预测的实际网络性能。

英文摘要:

We present novel lower bounds on the mean square error (MSE) of the location estimation of an emitting source via a network where the sensors are deployed randomly. The sensor locations are modeled as a homogenous Poisson point process. In contrast to previous bounds which are a function of the specific locations of all the sensors, we present CRB-type bounds on the expected mean square error; that is, we first derive the CRB on the MSE as a function of the sensors' location, and then take expectation with respect to the distribution of the sensors' location. Thus, these bounds are not a function of a particular sensor configuration, but rather of the sensor statistics. Hence, these novel bounds can be evaluated prior to sensor deployment and provide insights into design issues such as the necessary sensor density, the effect of the channel model, the effect of the signal power, and others. The derived bounds are simple to evaluate and provide a good prediction of the actual network performance.

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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