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Family of fast jacket transform algorithms

Family of fast jacket transform algorithms

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  • Author(s): M. Lee 1  and  G. Zeng 2
    • View affiliations
    • Affiliations: 1: Department of Information & Communication Engineering, Chonbuk National University, Chonju, Korea
      2: Electronic Engineering Department, Shanghai Jiaotong University, Shanghai, People's Republic of China
  • Source: Volume 43, Issue 11, 24 May 2007, page 651
    DOI:  10.1049/el:20070145 , Print ISSN 0013-5194, Online ISSN 1350-911X
© The Institution of Engineering and Technology
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A family of fast Jacket transform algorithms that have identical stage factorisations is presented by making use of suitable permutation matrices. The proposed algorithms are faster than the conventional Jacket transforms.

Inspec keywords: transforms; matrix decomposition

Other keywords: permutation matrices; stage factorisation; fast jacket transform algorithms

Subjects: Algebra; Algebra, set theory, and graph theory; Integral transforms; Algebra; Integral transforms; Function theory, analysis

References

    1. 1)
      • M.H. Lee , K. Finlayson . A simple element inverse Jacket transform coding. IEEE Signal Process. Lett. , 3 , 1 - 4
    2. 2)
      • Parker, M.G., Lee, M.H.: `Optimal bipolar sequences for the complex reverse-Jacket transform', Int. Symp. on Information Theory and Its Applications, November 2000, Honolulu, Hawaii, USA.
    3. 3)
      • K.Y. Rao , J.E. Hershey . (1997) Hadamard matrix analysis and synthesis.
    4. 4)
      • J.R. Schott . (1996) Matrix analysis for statistics.
    5. 5)
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