Self  Similarity of Network Traffic and Linear AR1 Process

Xu Du; Li Lemin

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Self Similarity of Network Traffic and Linear AR1 Process

更新时间：2025-12-08

- Self Similarity of Network Traffic and Linear AR1 Process
- Acta Electronica Sinica Issue 4, (1999)
- 作者机构：
  
  电子科技大学宽带光纤传输与通信系统技术国家重点实验室
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN913.2
- Published：1999
- 稿件说明：
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[1]许都,李乐民.网络中业务流的自相似性与线性AR1模型[J].电子学报,1999(04):7-11.

Xu Du, Li Lemin. Self Similarity of Network Traffic and Linear AR1 Process[J]. Acta Electronica Sinica, 1999, (4).
[1]许都,李乐民.网络中业务流的自相似性与线性AR1模型[J].电子学报,1999(04):7-11. DOI：

Xu Du, Li Lemin. Self Similarity of Network Traffic and Linear AR1 Process[J]. Acta Electronica Sinica, 1999, (4). DOI：

摘要

本文通过对多个ＡＲ１过程（ｏｒｄｅｒ１ａｕｔｏｒｅｇｒｅｓｉｖｅｐｒｏｃｅｓ）的累加（ｓｕｐｅｒｐｏｓｉｔｉｏｎ）过程的研究，发现当有限个参数特定的ＡＲ１过程累加后，该累加序列具有明显的自相似性．这从某种程度上揭示了为何不具备长期相关性的单个信源，经复接、交换等处理后，使得网络中业务流呈自相似性的原因．本文给出了数学分析方法和计算机仿真结果，由此还可得出一种生成自相似序列的快速方法．

Abstract

In this paper

we analyze the superposition of AR1 process.We discover that when the parameters of these AR1 processes satisfy some specified conditions

the superposition process has the property of self similarity.This can be a physical explanation of the self similar nature of the packet network

and partly answers the question why the short range dependent traffic sources can cause the fractal phenomena in modern network.We present the mathematical analysis and simulation result

and a fast algorithm to generate long run time series is also derived.

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