Study on fractal characteristics of low-voltage power line communication channel

Using the low voltage power line network as a medium for signal communication, data transmission and information exchange offers a convenient and inexpensive solution for modern communication system. With its violent time-varying, strong interference and severe attenuation, the analyses of this communication channel become a challenging but important basic subjects for the sustainable development of L-PLC (Low-Voltage Power Line Communication) technology. In this paper, we point to bring fractal theory in the study of the characteristics of L-PLC channel. Firstly, the time series measured from L-PLC network are analyzed by R/S method which provides us a quantitative analysis of long-term time-dependence of the time series. Then, the changing curves of power spectrum and statistical moment of these time series are drawn, for the analyzing of multi-fractal characteristics of this channel. The results has showed: Hurst index of measured time series are greater than 0.5, fractal dimension is greater than 1.0, L-PLC channel has obvious fractal and chaotic characteristics; statistical moment is a nonlinear function, multi-fractal spectrum is strict symmetrical, the L-PLC channel has strong multi-fractal properties.

[1]  Tang Xiao.  The development and characteristics of power line carrier techniques , 2003 .

[2]  D. Percival,et al.  Evaluating scaled windowed variance methods for estimating the Hurst coefficient of time series. , 1997, Physica A.

[3]  Zhai Mingyue,et al.  Study of Channel Characteristics of Power Line Communications Networks , 2005, Sixth International Conference on Parallel and Distributed Computing Applications and Technologies (PDCAT'05).

[4]  Zhen-chao Wang,et al.  Feature Extraction of the Noise in L-PLC , 2007, 2007 IEEE International Conference on Automation and Logistics.

[5]  D. Stoyan,et al.  Mandelbrot, B. B., Fractals: Form, Chance, and Dimension. San Francisco. W. H. Freeman and Company. 1977. 352 S., 68 Abb., $14.95 , 1979 .

[6]  Matthias Götz,et al.  Power line channel characteristics and their effect on communication system design , 2004, IEEE Communications Magazine.

[7]  Shi Jie.  Investigation of the Channel Characteristics on Low-voltage PLC and New Modulation Algorithm , 2006 .

[8]  Cheng Shi,et al.  The state of research and application of low voltage powerline communication , 2001 .

[9]  Zhu Shi.  Fractal Brownian Motion Model of Multipath Fading Channels , 2003 .

[10]  Klaus Dostert,et al.  A multipath model for the powerline channel , 2002, IEEE Trans. Commun..

[11]  Gan Yu-tao.  Research on modeling of the low-voltage power line communication channel based on chaos theory , 2007 .

[12]  Luís Díez del Río,et al.  Broadband modelling of indoor power-line channels , 2002, IEEE Trans. Consumer Electron..

[13]  Gregory W. Wornell,et al.  Estimation of fractal signals from noisy measurements using wavelets , 1992, IEEE Trans. Signal Process..

[14]  Kenneth Falconer,et al.  Fractal Geometry: Mathematical Foundations and Applications , 1990 .

[15]  Shibing Zhang,et al.  Analysis of Kolmogorov Entropy Characteristic of L-PLC Channel , 2008, 2008 IEEE International Conference on Networking, Sensing and Control.

[16]  C. Sparrow.  The Fractal Geometry of Nature , 1984 .

[17]  Yin Shu.  Research of keeping carrier meter reading system work stably , 2002 .

[18]  K. Stefański.  Fractals: form, chance and dimension : B.B. Mandelbrot (International Business Machines, Thomas J. Watson Research Center) : W.H. Freeman and Co., San Francisco, 1977, XVI + 365 pp. , 1985 .

[19]  Anna Scaglione,et al.  Broadband is power: internet access through the power line network , 2003, IEEE Communications Magazine.