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中文摘要：
主要研究了分段分数布朗运动（PFBM）模型在雷达海杂波分形建模中的应用．由于自然界和人造系统中研究对象不具有数学上完美的分形特性，从而研究对象的分形特性无法在整个尺度区间上成立，传统上，海杂波的单一分形模型仅利用无标度区间内海杂波的自相似信息进行参数估计，并没有考虑海杂波在无标度区间以外的尺度下所包含的信息．分段分数布朗运动从频域角度对海杂波频谱进行分段描述，对应到时域即从粗略尺度和精细尺度两方面描述海杂波时间序列．结合海杂波产生的物理背景，该模型可以为海杂波时间序列在粗略尺度和精细尺度下表现出的不同粗糙度提供机理性解释．在此基础上，还研究了具有不同多普勒频率的运动目标对海杂波的影响，结果表明运动目标对粗略尺度和精细尺度下海杂波的影响程度是不同的．
英文摘要：
In this paper we mainly study the application of piecewise fractional Brownian motion （PFBM） to modeling radar sea clutter. Because the research objects in nature and man-made systems are usually not perfectly fractal in mathematics, the fractal properties of these researched objects cannot hold in the whole scale interval. Traditionally, the mono-fractal model of sea clutter only makes use of the self-similarity of sea clutter within the scale-invariant interval for parameter estimation but ignores the information contained in the scales outside the scale-invariant interval. The PFBM describes the sea clutter piecewisely in frequency domain, which corresponds to describing the sea clutter in time domain respectively on the large scale and on the fine scale. Combining the physical background, the PFBM model can explain the mechanism of the different roughnesses of a sea clutter time sequence respectively on the large scale and on the fine scale. Subsequently, in the paper, we study the effects of moving targets with different Doppler frequencies on sea clutter. The results show that moving targets can cause different effects on sea clutter respectively on the large scale and on the fine scale.
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