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为了更好地了解电力线通信信号特性,克服传统线性模型和统计学参数不能很好描述电力线通信信号的非平稳、非线性特性的缺点,引入多重分形消除趋势波动分析法(multi-fractal detrended fluctuation analysis,MFDFA)对BB-PLC信号进行多重分形特性检验,并针对传统MF-DFA法的不足,结合小波理论,提出一种改进的算法对BB-PLC多重分形特性进行判定,在验证其具有明显多重分形特性的基础上,对其进行多重分形谱分析和相关函数检验。实验结果表明,电力线通信信号具有明显分形特征。所得结果可为宽带电力线信道建模等技术提供参考。
In order to better understand the characteristics of power line communication signals and overcome the shortcomings that traditional linear models and statistical parameters can not describe the non-stationary and nonlinear characteristics of power line communication signals well, the multi-fractal detrended fluctuation analysis (Multi-fractal detrended fluctuation analysis) , MFDFA) to test the multi-fractal characteristics of BB-PLC signals. In order to overcome the shortcomings of the traditional MF-DFA method, an improved algorithm is proposed to determine the multifractal characteristics of BB-PLC. On the basis of fractal characteristics, multifractal spectrum analysis and correlation function test were carried out. Experimental results show that power line communication signals have obvious fractal characteristics. The results can provide reference for broadband power line channel modeling and other technologies.