Over the last decades, the family of $\alpha$-stale distributions has proven to be useful for modelling in telecommunication systems. Particularly, in the case of radar applications, finding a fast and accurate estimation for the amplitude density function parameters appears to be very important. In this work, the maximum likelihood estimator (MLE) is proposed for parameters of the amplitude distribution. To do this, the amplitude data are \emph{projected} on the horizontal and vertical axes using two simple transformations. It is proved that the \emph{projected} data follow a zero-location symmetric $\alpha$-stale distribution for which the MLE can be computed quite fast. The average of computed MLEs based on two \emph{projections} is considered as estimator for parameters of the amplitude distribution. Performance of the proposed \emph{projection} method is demonstrated through simulation study and analysis of two sets of real radar data.

翻译：在过去几十年中，$\alpha$-稳定分布族已被证明在电信系统建模中具有实用价值。特别是在雷达应用中，快速准确地估计幅度密度函数参数显得尤为重要。本文针对幅度分布的参数提出了最大似然估计（MLE）方法。为此，通过两种简单的变换将幅度数据分别投影到水平轴和垂直轴上。经证明，投影后的数据服从零位置对称$\alpha$-稳定分布，其MLE可以非常快速地计算得到。基于两种投影计算出的MLE的平均值被视为幅度分布参数的估计量。通过仿真研究以及对两组真实雷达数据的分析，验证了所提投影方法的性能。