为了证明复杂电磁环境信号是否具有分形特征, 根据分形的基本性质, 采用基于数学形态学的分形维数估计方法, 验证了电磁环境信号的标度不变性; 通过分析长程相关性与自相似性的关系, 推导Hurst指数验证分形自相似性的方法, 验证电磁环境信号的自相似性; 通过分析电磁环境信号局部分形特征, 验证了其多重分形特性。理论分析和仿真计算结果表明, 复杂电磁环境信号具有分形特征, 为利用分形理论研究复杂电磁环境奠定了基础。

In order to clarify whether the complex electromagnetic environment is of fractal characteristics or not, a fractal dimensional estimation method based on mathematics morphologic was applied to validate the scale invariance of the signal in electromagnetic environment according to the basic fractal property.Then, self similarity of the signal in the electromagnetic environment was validated by analyzing the relationship between long range dependence and self similarity, and calculating the Hurst index.The multifractal character was also validated by analyzing the partial fractal character of the signal in the electromagnetic environment.Theoretical analysis and simulation results proved that the signal in complex electromagnetic environment possesses fractal characteristic.It lays a foundation for studying complex electromagnetic environment by using fractal theory.