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arXiv 1908.09656eess.SP
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基于1比特局部似然比融合的稀疏随机信号分布式检测

Distributed Detection of Sparse Stochastic Signals via Fusion of 1-bit Local Likelihood Ratios

Chengxi Li, You He, Xueqian Wang, Gang Li, Pramod K. Varshney

摘要:

在这封信中,我们考虑检测稀疏随机信号与传感器网络(SN),其中融合中心(FC)收集1位数据从本地传感器,然后执行全局检测。对于这个问题,一个新开发的1位本地最强大的测试(LMPT)检测器需要3.3Q传感器渐近实现相同的检测性能的集中式LMPT(cLMPT)检测器与Q传感器。该1位LMPT检测器基于1位量化观测,而无需在本地传感器处进行任何附加处理。然而,直接量化的意见是不是最有效的处理策略,在传感器,因为它会导致不必要的信息丢失。在这封信中,我们提出了一种改进的1位LMPT(Im-1位LMPT)检测器,融合本地1位量化似然比(LR),而不是直接量化的本地观测。此外,我们设计的量化阈值在本地传感器,以确保渐近最优的检测性能的检测器。理论和数值计算表明,与设计的量化阈值,所提出的Im-1位LMPT检测器的稀疏信号的检测需要较少的传感器节点的数量,以补偿1位量化所造成的性能损失。

英文摘要:

In this letter, we consider the detection of sparse stochastic signals with sensor networks (SNs), where the fusion center (FC) collects 1-bit data from the local sensors and then performs global detection. For this problem, a newly developed 1-bit locally most powerful test (LMPT) detector requires 3.3Q sensors to asymptotically achieve the same detection performance as the centralized LMPT (cLMPT) detector with Q sensors. This 1-bit LMPT detector is based on 1-bit quantized observations without any additional processing at the local sensors. However, direct quantization of observations is not the most efficient processing strategy at the sensors since it incurs unnecessary information loss. In this letter, we propose an improved-1-bit LMPT (Im-1-bit LMPT) detector that fuses local 1-bit quantized likelihood ratios (LRs) instead of directly quantized local observations. In addition, we design the quantization thresholds at the local sensors to ensure asymptotically optimal detection performance of the proposed detector. It is shown theoretically and numerically that, with the designed quantization thresholds, the proposed Im-1-bit LMPT detector for the detection of sparse signals requires less number of sensor nodes to compensate for the performance loss caused by 1-bit quantization.

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