About this Journal Submit a Manuscript Table of Contents
Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 962435, 14 pages
http://dx.doi.org/10.1155/2010/962435
Research Article

Note on Studying Change Point of LRD Traffic Based on Li's Detection of DDoS Flood Attacking

1Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
2School of Information Security Engineering, Key Laboratory of Information Security Integrated Management Research, Shanghai Jiao Tong University, Shanghai 200240, China

Received 7 February 2010; Accepted 11 March 2010

Academic Editor: Ming Li

Copyright © 2010 Zhengmin Xia et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. W. E. Leland, M. S. Taqqu, W. Willinger, and D. V. Wilson, “On the self-similar nature of ethernet traffic (extended version),” IEEE/ACM Transactions on Networking, vol. 2, no. 1, pp. 1–15, 1994. View at Publisher · View at Google Scholar
  2. V. Paxson and S. Floyd, “Wide area traffic: the failure of Poisson modeling,” IEEE/ACM Transactions on Networking, vol. 3, no. 3, pp. 226–244, 1995. View at Publisher · View at Google Scholar
  3. O. Tickoo and B. Sikdar, “On the impact of IEEE 802.11 MAC on traffic characteristics,” IEEE Journal on Selected Areas in Communications, vol. 21, no. 2, pp. 189–203, 2003. View at Publisher · View at Google Scholar
  4. M. Li, “Fractal time series—a tutorial review,” Mathematical Problems in Engineering, vol. 2010, Article ID 157264, 26 pages, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. M. Li and W. Zhao, “Representation of a stochastic traffic bound,” IEEE Transactions on Parallel and Distributed Systems. In press.
  6. M. Li and S. C. Lim, “Modeling network traffic using generalized Cauchy process,” Physica A, vol. 387, no. 11, pp. 2584–2594, 2008. View at Publisher · View at Google Scholar
  7. M. Li and W. Zhao, “Variance bound of ACF estimation of one block of fGn with LRD,” Mathematical Problems in Engineering, vol. 2010, Article ID 60429, 14 pages, 2010. View at Publisher · View at Google Scholar
  8. W.-B. Gong, Y. Liu, V. Misra, and D. Towsley, “Self-similarity and long range dependence on the internet: a second look at the evidence, origins and implications,” Computer Networks, vol. 48, no. 3, pp. 377–399, 2005. View at Publisher · View at Google Scholar
  9. W. Schleifer and M. Männle, “Online error detection through observation of traffic self-similarity,” IEE Proceedings: Communications, vol. 148, no. 1, pp. 38–42, 2001. View at Publisher · View at Google Scholar
  10. J. T. Wang and G. Yang, “An intelligent method for real-time detection of DDoS attack based on fuzzy logic,” Journal of Electronics, vol. 25, no. 4, pp. 511–518, 2008. View at Publisher · View at Google Scholar
  11. M. Li, “Change trend of averaged Hurst parameter of traffic under DDOS flood attacks,” Computers and Security, vol. 25, no. 3, pp. 213–220, 2006. View at Publisher · View at Google Scholar
  12. C. S. Sastry, S. Rawat, A. K. Pujari, and V. P. Gulati, “Network traffic analysis using singular value decomposition and multiscale transforms,” Information Sciences, vol. 177, no. 23, pp. 5275–5291, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  13. M. F. Rohani, M. A. Maarof, A. Selamat, and H. Kettani, “Continuous LoSS detection using iterative window based on SOSS model and MLS approach,” in Proceedings of the International Conference on Computer and Communication Engineering (ICCCE '08), pp. 1005–1009, Kuala Lumpur, Malaysia, May 2008. View at Publisher · View at Google Scholar
  14. M. Li and W. Zhao, “Detection of variations of local irregularity of traffic under DDOS flood attack,” Mathematical Problems in Engineering, vol. 2008, Article ID 475878, 11 pages, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  15. M. Li, J. Li, and W. Zhao, “Experimental study of DDOS attacking of flood type based on NS2,” International Journal of Electronics and Computers, vol. 1, no. 2, pp. 143–152, 2009.
  16. M. Li, “An approach to reliably identifying signs of DDOS flood attacks based on LRD traffic pattern recognition,” Computers and Security, vol. 23, no. 7, pp. 549–558, 2004. View at Publisher · View at Google Scholar
  17. C. Cattani and A. Kudreyko, “On the discrete harmonic wavelet transform,” Mathematical Problems in Engineering, vol. 2008, Article ID 687318, 7 pages, 2008. View at Zentralblatt MATH · View at MathSciNet
  18. C. Cattani and A. Kudreyko, “Application of periodized harmonic wavelets towards solution of eigenvalue problems for integral equations,” Mathematical Problems in Engineering, vol. 2010, Article ID 570136, 8 pages, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  19. C. Cattani, “Harmonic wavelet analysis of a localized fractal,” International Journal of Engineering and Interdisciplinary Mathematics, vol. 1, no. 1, pp. 35–44, 2009.
  20. E. G. Bakhoum and C. Toma, “Mathematical transform of traveling-wave equations and phase aspects of quantum interaction,” Mathematical Problems in Engineering, vol. 2010, Article ID 695208, 15 pages, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  21. G. Toma, “Specific differential equations for generating pulse sequences,” Mathematical Problems in Engineering, vol. 2010, Article ID 324818, 11 pages, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  22. S. Song, J. K. Y. Ng, and B. Tang, “Some results on the self-similarity property in communication networks,” IEEE Transactions on Communications, vol. 52, no. 10, pp. 1636–1642, 2004. View at Publisher · View at Google Scholar
  23. J. Beran, Statistics for Long-Memory Processes, vol. 61 of Monographs on Statistics and Applied Probability, Chapman and Hall, New York, NY, USA, 1994. View at MathSciNet
  24. D. He and H. Leung, “Network intrusion detection using CFAR abrupt-change detectors,” IEEE Transactions on Instrumentation and Measurement, vol. 57, no. 3, pp. 490–497, 2008. View at Publisher · View at Google Scholar
  25. http://www.ll.mit.edu/mission/communications/ist/index.html.
  26. W. H. Allen and G. A. Marin, “The LoSS technique for detecting new denial of service attacks,” in Proceedings of IEEE South East Conference, pp. 302–309, Greensboro, NC, USA, March 2004.
  27. X. X. Ren, R. C. Wang, and H. Y. Wang, “Wavelet analysis method for detection of DDoS attack on the basis of self-similarity,” Frontiers of Electrical and Electronic Engineering in China, vol. 2, no. 1, pp. 73–77, 2007. View at Publisher · View at Google Scholar