Optimal invariant test in coherent radar detection with unknown parameters

M. Derakhtian, M. Nayebi, A. Tadaion
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引用次数: 5

Abstract

We propose a new detector to test the presence of a radar signal with unknown parameters in unknown variance additive white Gaussian noise. Uniformly most powerful invariant (UMPI) tests and unitary filter banks are combined in a new detector. This problem does not fit the linear model due to the unknown Doppler frequency. It is found that the UMPI test does not exist for such a problem. In our detector, we apply an appropriate linear transformation, which is a unitary filter bank, to the concerned radar signal and the problem is converted to the canonical form. Since the UMPI test does exist for the canonical form, then we derive an optimal invariant test for our problem.
未知参数相干雷达探测的最优不变性检验
我们提出了一种新的检测未知参数雷达信号是否存在于未知方差加性高斯白噪声中的检测器。将一致最强大不变量(UMPI)检验和一致滤波器组结合在一个新的检测器中。由于多普勒频率未知,该问题不符合线性模型。发现UMPI测试不存在这种问题。在我们的检测器中,我们对有关雷达信号进行适当的线性变换,即一个酉滤波器组,并将问题转换为标准形式。由于标准形式确实存在UMPI检验,因此我们推导出问题的最优不变检验。
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