文章基本信息

标题：On the Chaotic Behavior of Variable-Bit-Rate Video and Its Application in Traffic Modeling
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作者：Marwan Krunz ; Ahmad Alkhatib
期刊名称：Computer Science Journal of Moldova
印刷版ISSN：1561-4042
出版年度：2004
卷号：12
期号：2
页码：171-196
出版社：Institute of Mathematics and Computer Science
摘要：Nonlinear chaos-based modeling offers an alternative approach to stochastic (typically, linear) approaches, with the advantages of lower dimensionality and more determinism. In this paper, we investigate the presence of chaos in variable-bit-rate (VBR) video and explore its application in traffic synthesis and forecasting. We provide statistical evidence that points to the potential chaoticity of VBR video time series. Our evidence is based on the sensitivity of the trajectories to initial conditions, the correlation coefficient between the transformed video sequence (after filtering out any apparent autocorrelations) and a predicted version of it, and the estimated value of the maximum Lyapunov exponent. Accurate forecasting of the future values of a presumably chaotic time series requires good estimation of the embedding dimension. We present a novel approach for estimating the embedding dimension of a suspectedly chaotic time series that is modeled according to the nonlinear functional relationship of Farmer and Sidorowich [10]. Our approach indicates that the minimum embedding dimension in video sequences is seven. Using this estimate along with a modified forecasting approach of the one in [10], we generate synthetic video sequences and show that they exhibit chaotic behavior.
关键词：Chaos theory; traffic analysis; variable-bit-rate video; embedding dimension.