基于2分随机乘法模型的多重分形海杂波建模研究

Multifractal sea clutter modeling based on 2-random-multiplicative model

为准确建立海杂波模型,将乘法模型与多重分形相结合引入到高分辨率海杂波建模研究中,提出了一种基于2分随机乘法模型的多重分形海杂波建模方法,理论上分析了模型的多重分形特性,并从实测海杂波数据中提取了倍乘因子的分布特性,提出了基于Beta分布的倍乘因子构建方法,仿真得到了海杂波数据。通过对瑞利分布、韦布尔分布和对数正态分布的比较分析以及K-S的统计检验,验证了2分随机乘法模型的合理性,这为高分辨率雷达的海杂波建模研究及其背景下的目标检测研究奠定了理论基础。

In order to accurately establish sea clutter model, the combination of multiplicative model and multifractal theory is introduced into the high resolution sea clutter modeling, and it proposes a multifractal sea clutter modeling method based on 2-random-multiplicative model. The multifractal characteristics of the model are analyzed, and the distribution characteristics of multiplying factor from the measured sea clutter data are extracted. It proposes a multiplying factor construction method based on beta distribution and obtained the simulated sea clutter data. In addition, by using probability density function comparison analysis among Rayleigh, Weibull and Log-Normal distribution and through the Kolmogorov-Smirnov(K-S) test, the rationality of 2 random multiplicative model is verified. The result lays a theoretical basis for the modeling of sea clutter and target detection in high re-solution radar.