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Robust estimation of sinusoidal signals with colored noise using decentralized processing

机译:使用分散处理对有色噪声的正弦信号进行鲁棒估计

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A technique is developed for the estimation of the number of signals and their central frequencies using decentralized processing, when it is known a priori that the observations consist of a finite number of sinusoidal signals corrupted by an additive colored random noise process with unknown correlations. Such a noise sequence may be caused by jamming from a hostile agent. The authors' decentralized processing scheme is one in which each sensor estimates the frequencies and their covariance matrix and sends the results to the fusion center. At the fusion center, since the estimates from the sensors have a mixture density that is possibly not Gaussian, a robust technique is utilized to combine the estimates. Even when the numbers of frequencies transmitted by the various sensors are identical, determining corresponding frequencies from each sensor is not a straightforward task. Also, outliers caused by line splitting or by spurious frequencies are hard to detect. These problems can be resolved by two methods: the so-called refitting method and the ranking method. Algorithms for both are presented in detail.
机译:当先验地知道观测结果由有限数量的正弦信号组成,该正弦信号被具有未知相关性的加色有色随机噪声过程破坏时,开发了一种使用分散处理来估计信号数量及其中心频率的技术。这种噪声序列可能是由于敌对因素的干扰而引起的。作者的分散处理方案是其中每个传感器估计频率及其协方差矩阵并将结果发送到融合中心的方案。在融合中心,由于来自传感器的估计具有可能不是高斯的混合密度,因此采用了一种可靠的技术来组合这些估计。即使各个传感器发送的频率数相同,从每个传感器确定相应的频率也不是一件容易的事。而且,很难检测到由线分裂或杂散频率引起的异常值。这些问题可以通过两种方法解决:所谓的重新拟合方法和排名方法。详细介绍了两者的算法。

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