In this paper, we tackle decision fusion for distributed detection in a randomly-deployed clustered Wireless Sensor Networks (WSNs) operating over a non-ideal multiple access channels (MACs), i.e. considering Rayleigh fading, path loss and additive noise. To mitigate fading, we propose the distributed equal gain transmit combining (dEGTC) and distributed maximum ratio transit combining (dMRTC). The first and second order statistics of the received signals were analytically computed via stochastic geometry tools. Then the distribution of the received signal over the MAC are approximated by Gaussian and log-normal distributions via moment matching. This enabled the derivation of moment matching optimal fusion rules (MOR) for both distributions. Moreover, suboptimal simpler fusion rules were also proposed, in which all the CHs data are equally weighed, which is termed moment matching equal gain fusion rule (MER). It is shown by simulations that increasing the number of clusters improve the performance. Moreover, MOR-Gaussian based algorithms are better under free-space propagation whereas their lognormal counterparts are more suited in the ground-reflection case. Also, the latter algorithms show better results in low SNR and SN numbers conditions. We have proved that the received power at the CH in MAC is proportional $\mathcal {O}(\lambda ^{2} R^{2})$ and to $\mathcal {O}(\lambda ^{2} \ln ^{2} R)$ in the free-space propagation and the ground-reflection cases respectively, where $\lambda$ is SN deployment intensity and $R$ is the cluster radius. This implies that having more clusters decreases the required transmission power for a given SNR at the receiver.

中文翻译：

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多接入衰落信道集群传感器网络中的分布式检测融合


在本文中，我们解决了在非理想多址信道（MAC）上运行的随机部署的集群无线传感器网络（WSN）中分布式检测的决策融合，即考虑瑞利衰落、路径损耗和加性噪声。为了减轻衰落，我们提出了分布式等增益发射组合（dEGTC）和分布式最大比率传输组合（dMRTC）。通过随机几何工具分析计算接收信号的一阶和二阶统计量。然后通过矩匹配用高斯分布和对数正态分布来近似 MAC 上接收信号的分布。这使得能够导出两种分布的矩匹配最佳融合规则（MOR）。此外，还提出了次优的更简单的融合规则，其中所有CH数据均等加权，称为矩匹配等增益融合规则（MER）。模拟表明，增加集群数量可以提高性能。此外，基于 MOR-高斯的算法在自由空间传播下效果更好，而其对数正态算法更适合地面反射情况。此外，后一种算法在低 SNR 和 SN 数条件下显示出更好的结果。我们已经证明，MAC 中 CH 处的接收功率与 $\mathcal {O}(\lambda ^{2} R^{2})$ 和 $\mathcal {O}(\lambda ^{2} \分别在自由空间传播和地面反射情况下ln ^{2} R)$，其中$\lambda$是SN部署强度，$R$是簇半径。这意味着拥有更多簇会降低接收器处给定 SNR 所需的传输功率。