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Modeling autocorrelation functions of long-range dependent teletraffic series based on optimal approximation in Hilbert space – a further study. (English) Zbl 1197.94006
Summary: This paper discusses optimal approximation of autocorrelation functions of teletraffic series by introducing a generalization of autocorrelation function form of fractional Gaussian noise (FGN). The demonstrations with real-traffic series are given.

94A05 Communication theory
90B18 Communication networks in operations research
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[1] Adas, A., Traffic models in broadband networks, IEEE commun. mag., 35, 7, 82-89, (1997)
[2] Leland, W.E.; Taqqu, M.S.; Willinger, W.; Wilson, D.V., On the self-similar nature of Ethernet traffic (extended version), IEEE/ACM trans. networking, 2, 1, 1-15, (1994)
[3] Paxson, V.; Floyd, S., Wide area traffic: the failure of poison modeling, IEEE/ACM trans. networking, 3, 3, 226-244, (1995)
[4] Tsybakov, B.; Georganas, N.D., Self-similar processes in communications networks, IEEE trans. inf. theory, 44, 5, 1713-1725, (1998) · Zbl 0988.90003
[5] Li, M.; Zhao, W.; Jia, W.J.; Long, D.Y.; Chi, C.-H., Modeling autocorrelation functions of self-similar teletraffic in communication networks based on optimal approximation in Hilbert space, Appl. math. model., 27, 3, 155-168, (2003) · Zbl 1023.90007
[6] Hida, T., Brownian motion, (1980), Springer Berlin · Zbl 0432.60002
[7] Miller, K.S.; Ross, B., An introduction to the fractional calculus and fractional differential equation, (1993), Wiley New York · Zbl 0789.26002
[8] Mandelbrot, B.; Van Ness, J., Fractional Brownian motions, fractional noises and applications, SIAM rev., 10, 422-437, (1968) · Zbl 0179.47801
[9] Bassingthwaighte, J.B.; Beyer, R.P., Fractal correlation in heterogeneous systems, Physica D, 53, 71-84, (1991) · Zbl 0737.92005
[10] West, B.J.; Grigolini, P., Fractional differences, derivatives and fractal time series, () · Zbl 1046.82024
[11] Beran, J., Statistics for long-memory processes, (1994), Chapman & Hall London · Zbl 0869.60045
[12] Bassingthwaighte, J.B.; Raymond, G.M., Evaluating rescaled range analysis for time series, Ann. biomed. eng., 22, 432-444, (1994)
[13] Aubin, J.-P., Applied functional analysis, (2000), Wiley New York
[14] Liu, C.K., Applied functional analysis, (1986), Defence Industry Press China
[15] On-line available from data archive: <http://www.acm.org/sigcomm/ITA/>.
[16] Li, M., An approach to reliably identifying signs of DDOS flood attacks based on LRD traffic pattern recognition, Comput. security, 23, 7, 549-558, (2004)
[17] M. Li, C.-H. Chi, D.Y. Yong, Fractional Gaussian noise: a tool of characterizing traffic for detection purpose, in: Springer LNCS 3309, Nov. 2004, pp. 94-103.
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