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A Simple Element Inverse Jacket Transform Coding  

Lee, Kwang-Jae (Hanlyo University)
Park, Ju-Yong (Seonam University)
Lee, Moon-Ho (Chonbuk National University)
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Abstract
Jacket transforms are a class of transforms which are simple to calculate, easily inverted and are size-flexible. Previously reported jacket transforms were generalizations of the well-known Walsh-Hadamard transform (WHT) and the center-weighted Hadamard transform (CWHT). In this paper we present a new class of jacket transform not derived from either the WHT or the CWHT. This class of transform can be applied to any even length vector, and is applicable to finite fields and is useful for constructing error control codes.
Keywords
Walsh-Hadamard Transform; Center-Weighted Hadamard Transform; Reverse Jacket Transform;
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1 M. H. Lee, The center weighted Hadamard transform, IEEE Trans. Circuits Syst., vol. 36, pp. 1247 1249, Sept. 1989   DOI   ScienceOn
2 M. H. Lee, Fast complex reverse jacket transform, in Proc. 22nd Symp. Information Theory and Its Application (SITA99), Yuzawa, Niigata, Japan, Nov. 30 Dec. 3 1999
3 M. H. Lee,, A new reverse jacket transform and its fast algorithm, IEEE Trans. Circuits Syst. II, vol. 47, pp. 39 46, Jan. 2000   DOI   ScienceOn
4 M. H. Lee, A new reverse jacket transform based on Hadamard matrix, in Proc. Int. Symp. Information Theory, Sorrento, Italy, June 25 30, 2000, p. 471   DOI
5 M. H. Lee, B. S. Rajan, and J. Y. Park, A generalized reverse jacket transform,  IEEE Trans. Circuits Syst. II, vol. 48, no. 7, pp. 684 690, July 2001   DOI   ScienceOn
6 K. Finlayson, M. H. Lee, J. Seberry, and M. Yamada, Jacket matrices constructed from Hadamard matrices and generalized Hadamard matrices, Australas. J. Combin., to appear (accepted 19th March 2005)
7 M. H. Lee and K. Finlayson, A Simple Element Inverse Jacket Transform Coding, Proc. Information Theory Workshop 2005 on Coding and Complexity, Rotorua, New Zealand, 29th Aug. 1st Sept. 2005   DOI
8 W. K. Pratt, J. Kane, and H. C. Andrews, Hadamard transform image coding,  Proc. IEEE, vol. 57, pp. 58 68, 1969
9 N. Ahmed and K. R. Rao, Orthogonal Transforms for Digital Signal Processing. New York: Springer-Verlag, 1975
10 K. G. Beauchamp, Walsh Functions and Their Applications. New York: Academic, 1975
11 R. E. Blahut, Theory and Practice of Error Control Codes. Reading, MA: Addison-Wesley, 1982
12 F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes. Amsterdam, The Netherlands: North-Holland, 1988
13 B. S. Rajan and M. H. Lee, Quasicyclic dyadic codes in Walsh-Hadamard transform domain, IEEE Trans. Inform. Theory, submitted for publication   DOI