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Article
Multiwavelets for Quantitative Pattern Matching
Proceedings of the 42nd Annual Hawaii International Conference on System Sciences (CD-ROM) (2009)
  • Bruce Kessler, Western Kentucky University
Abstract

The purpose of this paper is to provide an introduction to the concepts of wavelets and multiwavelets, and explain how these tools can be used by the analyst community to find patterns in quantitative data. Three multiwavelet bases are introduced, the GHM basis from \cite{GHM}, a piecewise polynomial basis with approximation order 4 from \cite{DGH}, and a smoother approximation-order-4 basis developed by the author in previous work \cite{K}. The technique of using multiwavelets to find patterns is illustrated in a traffic-analysis example. Acknowledgements: This work supported in part by the NACMAST consortium under contract EWAGSI-07-SC-0003.

Keywords
  • network intrusion,
  • network security,
  • multiresolution analyses,
  • multiwavelets
Publication Date
January 5, 2009
Publisher Statement
This is the author's final version, and not the published paper.
Citation Information
Bruce Kessler, "Wavelet Decompositions for Quantitative Pattern Matching", Proceedings of the 42nd Annual Hawaii International Conference on System Sciences (CD-ROM), January 5-8, 2009, Computer Society Press, (2009) 10 pages.