Open AccessError bounds on the Rayleigh approximation of the K ‐distribution
Author(s) -
Weinberg Graham V.
Publication year - 2016
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
ISSN - 1751-9683
DOI - 10.1049/iet-spr.2014.0364
Subject(s) - rayleigh distribution , rayleigh scattering , distribution (mathematics) , property (philosophy) , mathematics , radar , approximation error , algorithm , signal (programming language) , computer science , mathematical analysis , physics , telecommunications , optics , philosophy , programming language , epistemology
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.