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Modeling MPEG Coded Video Traffic by Markov-Modulated Self-Similar Processes

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Abstract

Markov modulated self-similar processes are proposed to model MPEG video sequences that can capture the LRD (Long Range Dependency) characteristics of video ACF (Auto-Correlation Function). The basic idea is to decompose an MPEG compressed video sequence into three parts according to different motion/content complexity such that each part can individually be described by a self-similar process. Beta distribution is used to characterize the marginal cumulative distribution (CDF) of the self-similar processes. To model the whole data set, Markov chain is used to govern the transitions among these three self-similar processes. In addition to the analytical derivation, initial simulations have demonstrated that our new model can capture the LRD of ACF and the marginal CDF very well. Network cell loss rate using our proposed synthesized traffic is found to be comparable with that using empirical data as the source traffic.

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References

  1. V. Paxson and S. Floyd, “Wide-Area Traffic: The Failure of Poisson Modeling, ” in Proc. of ACMSIGCOMM'94, Sept. 1994, pp. 257–268. Also available at http://www.acm.org/pubs/articles/ proceedings/comm/190314/p257-paxson/p257-paxson.pdf.

  2. P. Skelly, M. Schwartz, and S. Dixit, “AHistogram-Based Model for Video Traffic Behavior in an ATMMultiplexer, ” IEEE/ACM Trans. on Networking, vol. 1, 1993, pp. 446–459.

    Article  Google Scholar 

  3. D.P. Heyman and T.V. Lakshman, “Source Models for VBR Broadcast-Video Traffic, ” IEEE/ACM Trans. on Networking, vol. 4, 1996, pp. 40–48.

    Article  Google Scholar 

  4. B. Maglaris, et al., “Performance Models of Statistical Multiplexing in Packet Video Communications, ” IEEE Journal on Selected Areas in Communications, vol. 36, 1988, pp. 834–844.

    Google Scholar 

  5. B. Melamed and D.E. Pendarakis, “Modeling Full-Length VBR Video Using Markov-Renewal-Modulated TES Models, ” IEEE/ACM Trans. on Networking, vol. 5, 1997, pp. 600–612.

    Article  Google Scholar 

  6. J. Beran, R. Sherman, M.S. Taqqu, and W. Willinger, “Long-Range Dependence in Variable-Bit-Rate Video Traffic, ” IEEE Transactions on Communications, vol. 43, no. 2–4, 1995, pp. 1566–1579.

    Article  Google Scholar 

  7. M.W. Garrett and W. Willinger, “Analysis, Modeling and Generation of Self-Similar VBR VIdeo Traffic, ” in Proc. ACM SIG-COMM'94, London, U.K., vol. 1, 1994, pp. 269–280.

    Article  Google Scholar 

  8. M.M. Krunz and A.M. Makowski, “Modeling Video Traffic Using M/G/∞ Input Processes: A Compromise Between Markovian and LRD Models, ” IEEE Journal on Selected Areas in Comm., vol. 16, 1998, pp. 733–749.

    Article  Google Scholar 

  9. D.P. Heyman, “The GBAR Source Model for VBR Video-conferences, ” IEEE/ACM Trans. on Networking, vol. 5, 1997, pp. 554–560.

    Article  Google Scholar 

  10. R. Addie, M. Zukerman, and T. Neame, “Performance of a Single Server Queue with Self-Similar Input, ” in Proc. IEEE ICC'95 Seattle, vol. 3, 1995, pp. 461–465.

    Article  Google Scholar 

  11. N.G. Duffield and N. O'Connell, “Large Deviations and Over-flow Probabilities for the General Single-Server Queue, with Applications, ” Technical Report DIAS-STP-93-30, Dublin Institute for Advanced Studies, 1993.

  12. C. Huang, M. Devetsikiotis, I. Lambadaris, and A.R. Kaye, “Fast Simulation for Self-Similar Traffic in ATM Networks, ” in Proc. IEEE ICC' 95, 1995, pp. 11–22.

  13. I. Norros, “A Storage Model with Self-Similar Input, ” Queuing Systems, vol. 16, 1994, pp. 387–396.

    Article  MATH  MathSciNet  Google Scholar 

  14. B.K. Ryu and A. Elwalid, “The Importance of Long-Range Dependence of VBR Video Traffic in ATM Traffic Engineering: Myths and Realities, ” in Proc. ACM SIGCOMM'96, Stanford University, CA, 1996, pp. 3–14. Also available at http://www.wins.hrl.com/people/ryu/sigcomm96.ps.gz or http://www.acm.org/pubs/articles/proceedings/comm/248156/ p15-grossglauser.pdf.

  15. B. Tsybakov and N. Georganas, “On Self-Similar Traffic in ATM Queues: Definitions, Overflow Probability Bound, and Cell Delay Distribution, ” IEEE/ACM Trans. on Networking, vol. 5, 1997, pp. 397–408.

    Article  Google Scholar 

  16. G.J. Hahn and S.S. Shapiro, Statistical Models in Engineering, New York: John Wiley & Sons, Inc., 1967.

    Google Scholar 

  17. J. Beran, Statistics for Long-Memory Processes, New York: Chapman & Hall, 1994.

    MATH  Google Scholar 

  18. H.E. Hurst, “Long-Term Storage Capacity of Reservoirs, ” Trans. of the Am. Soc. of Civil Eng., vol. 116, 1951, pp. 770–799.

    Google Scholar 

  19. J.R.M. Hosking, “Modeling Persistence in Hydrological Time Series Using Fractional Differencing, ” Water Resources Research, vol. 20, 1984, pp. 1898–1908.

    Article  Google Scholar 

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Liu, H., Ansari, N. & Shi, Y.Q. Modeling MPEG Coded Video Traffic by Markov-Modulated Self-Similar Processes. The Journal of VLSI Signal Processing-Systems for Signal, Image, and Video Technology 29, 101–113 (2001). https://doi.org/10.1023/A:1011179732518

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