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Pade approximations to matched-filter amplitude probabilityfunctions: Rayleigh mixtures and multiple observations

机译:匹配滤波器幅度概率函数的Pade近似:瑞利混合和多重观测

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摘要

Techniques are presented for deriving approximations to the statistical functions that characterize linear sums of matched-filter outputs. They are derived using two techniques: (1) Pade approximations to the multidimensional characteristic function (CF), and (2) discrete Rayleigh mixtures based on an exact or approximate form of the Rayleigh parameter probability density function. The Pade-based approximations are used for modeling the "clutter-only" case and computing detection thresholds, whereas the Rayleigh mixtures are best suited for modeling the "target-plus-clutter" case and computing target detection probabilities
机译:提出了推导统计函数近似值的技术,这些函数表征了匹配滤波器输出的线性和。它们是使用两种技术得出的:(1)多维特征函数(CF)的Pade近似,以及(2)基于精确或近似形式的瑞利参数概率密度函数的离散瑞利混合。基于Pade的近似值用于对“仅杂波”情况进行建模并计算检测阈值,而瑞利混合最适合于对“目标加杂波”情况进行建模并计算目标检测概率

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