扩展自相似过程的表示及其性质

Expression and property analysis on extended self-similar process

本文对于文献[5]中所提出的扩展自相似过程,给出了这一过程的一般表示形式,并基于此对扩展自相似过程进行了详细的解释,给出了扩展自相似过程压缩函数的基本性质,对于深入理解扩展自相似过程的行为机理、建立数据和过程的扩展自相似模型及有关扩展自相似过程的研究与应用有重要意义。最后给出了有关自相似过程判断的实验结果。

This paper studies the extending self-similar process presented in reference [5]. The general expression and the self similarity structure of the process, as well as the property of the compression function of the process are presented. As fundamentals of the analysis and applications of the process to the real world problems, all of these are of basic importance for understanding the behavioral mechanism of an extending self-similar process, the model construction of a self-similar process for data and processes, and to realize signal detection in a self-similar process.