Multidimensional Systems and Signal Processing

, Volume 3, Issue 4, pp 409–419 | Cite as

Parallel vector multidimensional slant, Haar, and Walsh-Hadamard transforms

  • Mohamed El-Sharkawy
  • Maurice Aburdene
  • Wenlong Tsang
Communication Briefs
  • 45 Downloads

Abstract

A new factorization for the slant matrix is developed. The structure of the proposed slant algorithm based on the new factorization is suitable for vector and parallel processing of one- and two-dimensional slant transforms. A unified approach to compute the Walsh-Hadamard, Haar, and slant transforms is presented. Multitasking with four processors is implemented to improve the speed performance of two-dimensional transforms. Simulation results on CRAY X-MP/48 using single-processor and multiprocessors are also included.

Key Words

Parallel vector processing slant transform Haar transform and Walsh-Hadamard transform 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    William K. Pratt, “Slant Transform Image Coding,”IEEE Trans. Comm., vol. Com-22, 1974.Google Scholar
  2. 2.
    M. El-Sharkawy, W. Tsang, and M. Aburdene, “Parallel Vector Processing of Multidimensional Orthogonal Transforms for Digital Signal Processing Applications,”Multidimensional Systems Signal Process., vol. 1, 1990, pp. 199–216.CrossRefGoogle Scholar
  3. 3.
    M. El-Sharkawy, W. Tsang, and M. Aburdene, “Parallel Hadamard Transform with Transputers,”Int. J. Mini Microcomputers, vol. 12, 1990, pp. 20–24.Google Scholar
  4. 4.
    Harry C. Andrews,Computer Techniques in Image Processing, New York: Academic Press, 1970.Google Scholar
  5. 5.
    Bernard J. Fino, “A Unified Treatment of Discrete Fast Unitary Transforms,”SIAM J. Comput., vol. 6, 1977.Google Scholar
  6. 6.
    M. El-Sharkawy, W. Tsang, and M. Aburdene, “Vector Processing of Orthogonal Transforms for Digital Signal Processing Application,”Proc. 1989 Summer Computer Simulation Conf., 1989, pp. 203–210.Google Scholar
  7. 7.
    Paul N. Swarztrauber, “FFT Algorithms for Vector Computers,”Parallel Computing, 1984, pp. 45–63.Google Scholar
  8. 8.
    David G. Korn, “Computing the Fast Fourier Transform on a Vector Computer,”Math. Comp. vol. 33, 1979, pp. 977–992.Google Scholar
  9. 9.
    Ramesh C. Agarwal and James W. Cooley, “Vectorized Mixed Radix Discrete Fourier Transform Algorithms,”Proc. IEEE, vol. 75, 1987.Google Scholar
  10. 10.
    W.P. Petersen, “Vector FORTRAN for Numerical Problems on CRAY-1,”Comm. ACM, vol. 26, 1983.Google Scholar

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Mohamed El-Sharkawy
    • 1
  • Maurice Aburdene
    • 2
  • Wenlong Tsang
    • 2
  1. 1.Electrical Engineering DepartmentPurdue UniversityIndianapolis
  2. 2.Electrical Engineering DepartmentBucknell UniversityLewisburg

Personalised recommendations