Bibliography on Hadamard Transforms

Bibliography on Hadamard (Walsh) Transforms

Books

W.D. Wallis, A.P. Street and J.S. Wallis, Combinatorics: Room Squares, Sum-Free Sets, Hadamard Matrices. Lecture Notes in Mathematics, vol. 292, Springer-Verlag, 1972.
S.S. Agaian, Hadamard Matrices and Their Applications. Lecture Notes in Mathematics, vol. 1168, Springer-Verlag, 1985.
R.K. Yarlagadda and J.E. Hershey, Hadamard Matrix Analysis and Synthesis, with Applications to Communications and Signal/Image Processing. Boston: Kluwer Academic Publishers, 1996.

Journal Articles in Chronological Order

IEEE Transactions

J.L. Shanks, ``Computation of the fast Wlash-Fourier transform,'' IEEE Trans. Computers, pp. 457--459, May 1969.
J.W. Carl, ``Comment on `An algorithm for a fast Hadamard matrix transform of order twelve','' IEEE Trans. Computers, vol. C-20, pp. 587-588, 1971.
Y.L. Henry and C.L. Sheng, ``Fast Hadamard transform using the H diagram,'' IEEE Trans. Computers, vol. C-22, pp. 957-960, 1973.
H. Larsen, ``An algorithm to compute the sequency ordered Walsh transform,'' IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-24, pp. 335--336, 1976.
B.J. Fino and V.R. Algazi, ``Unified matrix treatment of the fast Walsh-Hadamard transform,'' IEEE Trans. Computers, pp. 1142--1146, 1976.
Y.A. Geadah and M.J. Corinthios, ``Natural, dyadic and sequency order algorithms and processors for the Walsh-Hadamard Transform,'' IEEE Trans. Comput., vol. C-26, pp. 435--442, 1977.
R.D. Brown, ``A recursive algorithm for sequency ordered fast Walsh transform,'' IEEE Trans. Comput., vol. C-26, no. 8, pp. 819--822, 1977.
W.D. Lyle, Jr. and F. Forte, ``A useful property of the coefficients of a Walsh-Hadamard transform,'' IEEE Trans. Acoustics, Speech, Signal Processing, vol. ASSP-28, p. 479, 1980.
H. Kitajima and T. Shimono, ``Residual correlation of the Hadamard transforms of stationary Markov-1 signals,'' IEEE Trans. Communications, vol. 31, no. 1, pp. 119--121, 1983.
G.H. Hostetter, ``Recursive comuptation of Walsh-Hadamard transformation,'' Signal Processing, vol. 8, no. 1, pp. 41--49, Feb. 1985.
M.H. Lee and M. Kaveh, ``Fast Hadamard transform based on a simple matrix factorization,'' IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, no. 6, pp. 1666-1667, 1986.
D. Hertz. ``On fast multivariable bilinear and Hadamard transforms,'' IEEE Trans. Signal Processing, vol. 39, no. 8, pp. 1788--1792, 1991.
D. Coppersmith, E. Faig and E. Linzer, ``Hadamard transforms on multiply/add architectures,'' IEEE Trans. Signal Processing, vol. 42, no. 4, pp. 969--970, April 1994.

Other Resources

S. Boussakta, J.G.A. Holt, ``Fast algorithm for calculation of both Walsh-Hadamard and Fourier transform (FWFTs), Electron. Lett., vol. 25, no.20, pp. 1352-1353, 1989.
M.M. Anguh and R.R. Martin, ``A truncation method for computing Walsh transforms with applications to image processing,'' CGIP, vol. 55, no. 6, pp. 482--493, 1993.
H.G. Sarukhanyan, ``Decomposition of the Hadamard matrices and fast Hadamard transform,'' Lecture Notes in Computer Science, vol. 1296, pp. 575--581, 1997.

Our publications

S. Samadi, Y. Suzukake and H. Iwakura, ``On automatic derivation of fast Hadamard transform using genetic programming,'' in Proc. 1998 IEEE Asia-Pacific Conference on Circuits and Systems, Thailand, pp. 327--330, 1998.

Beam me up!

Last modified: Sat Feb 19 17:04:13 JST 2000