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Noncoherent Decision Fusion over Fading Hybrid MACs in Wireless Sensor Networks

机译：无线传感器网络中基于衰落混合MAC的非相干决策融合

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摘要

In this paper, we consider the problem of decision fusion for noncoherent detection in a wireless sensor network. Novel to the current work is the integration of the hybrid multi-access channel (MAC) in the fusion rule design. We assume that sensors transmit their local binary decisions over a hybrid MAC which is a composite of conventional orthogonal and nonorthogonal MACs. Under Rayleigh fading scenario, we present a likelihood ratio (LR)-based fusion rule, which has been shown to be optimal through theoretical analysis and simulation. However, it requires a large amount of computation, which is not easily implemented in resource-constrained sensor networks. Therefore, three sub-optimal alternatives with low-complexity are proposed, namely the weighed energy detector (WED), the deflection-coefficient-maximization (DCM), and the two-step (TS) rules. We show that when the channel signal-to-noise ratio (SNR) is low, the LR-based fusion rule reduces to the WED rule; at high-channel SNR, it is equivalent to the TS rule; and at moderate-channel SNR, it can be approached closely by the DCM rule. Compared with the conventional orthogonal and nonorthogonal MACs, numerical results show that the hybrid MAC with the proposed fusion rules can improve the detection performance when the channel SNR is medium.
机译：在本文中，我们考虑了无线传感器网络中非相干检测的决策融合问题。当前工作的新颖之处在于在混合规则设计中集成了混合多路访问通道（MAC）。我们假设传感器通过混合MAC传输其本地二进制决策，该混合MAC是常规正交和非正交MAC的组合。在瑞利衰落情况下，我们提出了一种基于似然比（LR）的融合规则，该融合规则已通过理论分析和仿真证明是最佳的。然而，这需要大量的计算，这在资源受限的传感器网络中不容易实现。因此，提出了三种具有低复杂度的次优方案，即加权能量检测器（WED），偏转系数最大化（DCM）和两步法（TS）规则。我们表明，当信道信噪比（SNR）较低时，基于LR的融合规则将减少为WED规则；在高信噪比下，它等效于TS规则；在中等信噪比的情况下，DCM规则可以使其接近。数值结果表明，与常规正交和非正交MAC相比，提出的融合规则的混合MAC在信道信噪比为中等的情况下可以提高检测性能。

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