Generalized fractional Gaussian noise and its application to traffic modeling

被引：27
作者：
Li, Ming [1 ,2 ]
机构：
[1] Zhejiang Univ, Ocean Coll, Hangzhou 310012, Zhejiang, Peoples R China
[2] E China Normal Univ, Village 1, Shanghai 200062, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2021年 / 579卷
基金：
中国国家自然科学基金;
关键词：
Fractional noise; Fractional Gaussian noise; Long-range dependence; Teletraffic modeling; LONG-RANGE DEPENDENCE; AUTOCORRELATION FUNCTIONS; OPTIMAL APPROXIMATION;
D O I：
10.1016/j.physa.2021.126138
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The highlights in this paper are in two aspects. First, we introduce a type of novel fractional noise termed generalized fractional Gaussian noise (gfGn). Its autocorrelation function, power spectrum density function, and the fractal dimension are given. The second aspect is in the case study using gfGn for modeling real traffic traces to exhibit that the gfGn model is more accurate than the conventional fractional Gaussian noise (fGn) one in traffic modeling. (C) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页数：22
相关论文
共 56 条
[1]   Traffic models in broadband networks [J].
Adas, A .
IEEE COMMUNICATIONS MAGAZINE, 1997, 35 (07) :82-89
[2]  
[Anonymous], 2014, MATH PROBL ENG
[3]  
[Anonymous], 2012, OSDI2012 MAD WORKSH
[4]  
[Anonymous], 1998, Notices Amer. Math. Soc.
[5]  
[Anonymous], 1964, GEN FUNCTIONS
[6]  
Beran J, 1997, ANN STAT, V25, P1852
[7]   FITTING LONG-MEMORY MODELS BY GENERALIZED LINEAR-REGRESSION [J].
BERAN, J .
BIOMETRIKA, 1993, 80 (04) :817-822
[8]   LONG-RANGE DEPENDENCE IN VARIABLE-BIT-RATE VIDEO TRAFFIC [J].
BERAN, J ;
SHERMAN, R ;
TAQQU, MS ;
WILLINGER, W .
IEEE TRANSACTIONS ON COMMUNICATIONS, 1995, 43 (2-4) :1566-1579
[9]  
Beran J., 1994, Statistics for Long-Memory Processes, V1st ed.
[10]  
BERAN J., 1992, Statist. Sci., V7, P404, DOI [10.1214/ss/1177011122, DOI 10.1214/SS/1177011122]
123456