k分布的瑞利近似的误差界

IET Signal Process. Pub Date : 2016-05-01 DOI:10.1049/iet-spr.2014.0364

G. V. Weinberg

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引用次数: 5

摘要

在x波段海上监视雷达信号处理中，k分布随着其形状参数的增加而限制于瑞利分布，这是一个众所周知的特性，在某些情况下证明了k分布的瑞利近似。在对实际数据的分析中，我们观察到，当形状参数>20时，这种近似趋于有效。使用Stein的方法，可以在分布差异上构建明确的界限来量化这一观察结果。

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Error bounds on the Rayleigh approximation of the K-distribution

It is a well-known property in X-band maritime surveillance radar signal processing that the K-distribution limits to a Rayleigh as its shape parameter increases, justifying the Rayleigh approximation of the K-distribution in certain scenarios. In the analysis of real data, it has been observed that this approximation tends to be valid for shape parameters >20. Using Stein's method, it is possible to construct explicit bounds on the distributional differences to quantify this observation.

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IET Signal Process.

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