Quantum two-mode squeezing (QTMS) radars and noise radars detect targets by correlating the received signal with an internally stored recording. A covariance matrix can be calculated between the two which, in theory, is a function of a single correlation coefficient. This coefficient can be used to decide whether a target is present or absent. We can estimate the correlation coefficient by minimizing the Frobenius norm between the sample covariance matrix and the theoretically expected form of the matrix. Using simulated data, we show that the estimates follow a Rice distribution whose parameters are simple functions of the underlying, “true” correlation coefficient as well as the number of integrated samples. We obtain an explicit expression for the receiver operating characteristic curve that results when the correlation coefficient is used for target detection. This is an important first step toward performance prediction for QTMS radars.

中文翻译：

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量子双模挤压雷达和噪声雷达：目标检测的相关系数

量子双模压缩 (QTMS) 雷达和噪声雷达通过将接收到的信号与内部存储的记录相关联来检测目标。可以计算两者之间的协方差矩阵，理论上，协方差矩阵是单个相关系数的函数。该系数可用于决定目标是否存在。我们可以通过最小化样本协方差矩阵和矩阵的理论预期形式之间的 Frobenius 范数来估计相关系数。使用模拟数据，我们表明估计遵循莱斯分布，其参数是潜在的“真实”相关系数以及集成样本数量的简单函数。当相关系数用于目标检测时，我们获得了接收器操作特性曲线的明确表达式。这是实现 QTMS 雷达性能预测的重要第一步。