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Analysis of Radar Emitter Signal Feature Based on Multifractal Theory

机译:基于多重分形理论的雷达辐射源信号特征分析

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Fractal theory has applied to radar signal analysis, in which fractal dimensions such as Hausdorff dimension, box dimension, information dimension, similarity dimension, correlation dimension and so on always are used to depict the complexity of radar emitter signal. But single fractal dimension is not enough to describe a complicated fractal object, so multifractal is introduced to analyze radar emitter signal. Multifractal is the expansion of fractal dimension, which uses multifractal dimensions to describe growth features of fractal object in different levels and compensate the lack of single fractal dimension. Because radar emitter signal is a time series, the method to study time series multifractal can be adopted and the multifractal feature can be regarded as the basis of radar signal classification and recognition. Through simulating several typical radar signals and computing their multifractal dimensions, the simulation results validate that analysis of radar emitter signal multifractal feature has certain instructional meaning.
机译:分形理论已被应用到雷达信号分析中,其中分形维数(例如Hausdorff维数,盒子维数,信息维数,相似度维数,相关维数等)始终被用来描述雷达发射器信号的复杂性。但是单一的分形维数不足以描述一个复杂的分形对象,因此引入了多重分形来分析雷达辐射源信号。多重分形是分形维数的扩展,它使用多重分形维数来描述分形对象在不同水平上的生长特征,并弥补了单一分形维数的不足。由于雷达辐射源信号是一个时间序列,因此可以采用研究时间序列多重分形的方法,并将多重分形特征作为雷达信号分类识别的基础。通过对几种典型的雷达信号进行仿真并计算其多重分形维数,仿真结果验证了雷达发射器信号多重分形特征的分析具有一定的指导意义。

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