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arXiv 1009.0619cs.NI
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存在覆盖空洞和丢包的传感器网络场重构

Field Reconstruction in Sensor Networks with Coverage Holes and Packet Losses

Alessandro Nordio, Carla-Fabiana Chiasserini

摘要:

环境监测通常通过无线传感器网络来执行,其节点随机部署在感兴趣的地理区域上。传感器对物理现象(所谓的场)进行采样,并将其测量结果发送到{ \em sink}节点,该节点负责从这种不规则样本重建场。在这项工作中,我们专注于实际感兴趣的场景,其中传感器部署在地理区域的某些区域是不可行的,例如,由于地形的凹凸不平,以及由于衰落或由于同时访问无线介质的传感器之间的传输冲突,传感器测量到接收器的传送可能失败。在这些条件下,我们进行了渐近分析和评估质量的估计的d维字段时,水槽使用线性滤波作为重建技术。具体来说,给定表示采样系统V的矩阵,我们导出VV* 的极限谱分布的矩和表达式,因为V的大小趋于无穷大,并且其纵横比具有远离零的有限极限。通过使用这样的渐近结果,我们通过VV* 的η-变换来近似估计域上的均方误差,并推导出在上述条件下的传感器网络性能。

英文摘要:

Environmental monitoring is often performed through a wireless sensor network, whose nodes are randomly deployed over the geographical region of interest. Sensors sample a physical phenomenon (the so-called field) and send their measurements to a {\em sink} node, which is in charge of reconstructing the field from such irregular samples. In this work, we focus on scenarios of practical interest where the sensor deployment is unfeasible in certain areas of the geographical region, e.g., due to terrain asperities, and the delivery of sensor measurements to the sink may fail due to fading or to transmission collisions among sensors simultaneously accessing the wireless medium. Under these conditions, we carry out an asymptotic analysis and evaluate the quality of the estimation of a d-dimensional field when the sink uses linear filtering as a reconstruction technique. Specifically, given the matrix representing the sampling system, V, we derive both the moments and an expression of the limiting spectral distribution of VV*, as the size of V goes to infinity and its aspect ratio has a finite limit bounded away from zero. By using such asymptotic results, we approximate the mean square error on the estimated field through the eta-transform of VV*, and derive the sensor network performance under the conditions described above.

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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