Detection of a distributed target with direction uncertainty
Detection of a distributed target with direction uncertainty
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DOI：
10.1049/iet-rsn.2014.0110
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发表时间：
2014-06
影响因子：
1.7
通讯作者：
Weijian Liu;W. Xie;Jun Liu;Dujian Zou;Honglin Wang;Yongliang Wang
中科院分区：
文献类型：
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作者：
Weijian Liu;W. Xie;Jun Liu;Dujian Zou;Honglin Wang;Yongliang Wang
研究了协方差矩阵未知的有色噪声背景下的分布式目标检测问题。假设目标回波都来自同一方向。然而，确切的方向先验未知。准确地说，信号导向矢量位于某个已知的子空间中，但具有未知的坐标。他们导出了Wald检验和两步Wald检验，并表明不存在有意义的Rao检验或其两步变异。此外，它被发现，两步Wald测试是等价于现有的方向检测器。此外，还证明了Wald检验具有恒虚警率性质.通过数值算例比较了在信号匹配和失配情况下，新的方向检测器与相应的方向检测器的检测性能。
In this study, the authors deal with the problem of detecting a distributed target in coloured noise with unknown covariance matrix. The target echoes are all assumed to come from the same direction. However, the exact direction is unknown a priori. Precisely, the signal steering vector lies in a certain known subspace, but with unknown coordinate. They derive the Wald test and two-step Wald test and also show that there is no meaningful Rao test or its two-step variation. Moreover, it is found that the two-step Wald test is equivalent to an existing direction detector. Additionally, it is shown that the Wald test possesses the constant false alarm rate property. Some numerical examples are given to compare the detection performance of the novel direction detector with its counterparts, both in the cases of matched and mismatched signals.