基于混沌理论的低压电力线通信信道建模研究

低压电力线通信(L-PLC)信道是一个受某些确定性规律控制的复杂非线性有限维动力系统,研究它的特性并建立其信道模型,是低压电力线通信技术领域的重要课题.本文将混沌理论引入L-PLC信道建模研究,通过对信道的实测信号进行混沌分析,从整体上研究低压电力线通信信道的内在规律.对实测时间序列的关联维数和最大Lyapunov指数的计算结果表明:饱和关联维数在4～5之间,说明要建立L-PLC系统的数学模型至少需要5个独立变量;最大Lyapunov指数为正,说明低压电力线通信系统具有混沌特性,因而具有短时间的可预测性.此外,文中对测量电路的滤波特性、时间序列长度以及采样频率的影响进行的讨论,对混沌时间序列分析具有广泛参考价值.

Research on modeling of the low-voltage power line communication channel based on chaos theory

The low-voltage power line communication(L-PLC) channel is a complicated nonlinear finite-dimensional dynamical system and is controlled by some determinative regulations.It is an important subject for developing of L-PLC to research the channel's characteristics and build up its model.This paper applies chaos theories to the modeling of the L-PLC channel and studies the inherent rules of the channel by analyzing chaotic characteristics of the observed signal.The analyzing results show that the correlation dimension is varying from 4 to 5 and the largest Lyapunov exponent is positive.This indicates that 5 independent variables are needed at least to establish a mathematics model for L-PLC system and the L-LPC system has chaotic characteristics and can be predicted in short-term.Further more,the effect of the sampling method including the sampling circuit design,sampling frequency as well as number of sampling of sampling date to the analysis result is discussed.It has reference value for the chaotic analysis.