无线信号服从瑞利分布的验证方法

在信号传输系统中，对于空中传来的信号的包络是服从瑞利分布或者是莱斯分布的，然而对于怎么去判别却少有人提及。文章从统计理论的角度，根据：①参数估计中当总体的k阶矩存在时，样本的k阶矩依概率收敛于总体的k阶矩的性质；②概率密度函数拐点的特点；结合模糊估计的应用，运用了两种方法验证了空中传播信号服从瑞利分布。

Verification of Wireless Signal in Submission to Rayleigh Distribution

In signal transmission system, it is well known that the envelope of the signal transmitted from the air always submits to the Rayleigh distribution or the Rice distribution. However, how to distinguish them is rarely mentioned. From the view point of the statistical theory, based on： ①when the whole k-order moment exists in parameter estimation, the k-order moment of the sample converges in probability to the whole one; ②the inflection point of probability density function; Accompany with the application of fuzzy estimation, this paper describes two methods to prove that the envelope of the signal transmitted from the air submits to the Rayleigb distribution.