Hadamard Matrix Analysis and Synthesis

With Applications to Communications and Signal/Image Processing

  • R. K. Rao Yarlagadda
  • John E. Hershey

Table of contents

  1. Front Matter
    Pages i-x
  2. R. K. Rao Yarlagadda, John E. Hershey
    Pages 1-2
  3. R. K. Rao Yarlagadda, John E. Hershey
    Pages 3-3
  4. R. K. Rao Yarlagadda, John E. Hershey
    Pages 5-5
  5. R. K. Rao Yarlagadda, John E. Hershey
    Pages 7-7
  6. R. K. Rao Yarlagadda, John E. Hershey
    Pages 9-14
  7. R. K. Rao Yarlagadda, John E. Hershey
    Pages 15-16
  8. R. K. Rao Yarlagadda, John E. Hershey
    Pages 17-22
  9. R. K. Rao Yarlagadda, John E. Hershey
    Pages 27-31
  10. R. K. Rao Yarlagadda, John E. Hershey
    Pages 33-34
  11. R. K. Rao Yarlagadda, John E. Hershey
    Pages 35-36
  12. R. K. Rao Yarlagadda, John E. Hershey
    Pages 37-38
  13. R. K. Rao Yarlagadda, John E. Hershey
    Pages 39-50
  14. R. K. Rao Yarlagadda, John E. Hershey
    Pages 51-51
  15. R. K. Rao Yarlagadda, John E. Hershey
    Pages 53-65
  16. R. K. Rao Yarlagadda, John E. Hershey
    Pages 67-73
  17. R. K. Rao Yarlagadda, John E. Hershey
    Pages 75-82
  18. R. K. Rao Yarlagadda, John E. Hershey
    Pages 83-85
  19. R. K. Rao Yarlagadda, John E. Hershey
    Pages 87-94

About this book

Introduction

Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing presents the basic concepts of Sylvester's construction of Hadamard matrices, the eigenvalue-eigenvector decompositions, along with its relationship to Fourier transforms. Relevant computational structures are included for those interested in implementing the Hadamard transform.
The 2-dimensional Hadamard transform is discussed in terms of a 1- dimensional transform. The applications presented touch on statistics, error correction coding theory, communications signaling, Boolean function analysis and synthesis, image processing, sequence theory (maximal length binary sequences, composite sequences, and Thue-Morse sequences) and signal representation. An interesting application of the Hadamard transform to images is the Naturalness Preserving Transform (NPT), which is presented. The NPT provides a way to encode an image that can be reconstructed when it is transmitted through a noisy or an unfriendly channel. The potential applications of the Hadamard transform are wide and the book samples many of the important concepts among a vast field of applications of the transform.
Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing serves as an excellent reference source and may be used as a text for advanced courses on the topic.

Keywords

Potential Signal algebra calculus coding coding theory communication fast Fourier transform (FFT) image processing logic statistics

Authors and affiliations

  • R. K. Rao Yarlagadda
    • 1
  • John E. Hershey
    • 2
  1. 1.Oklahoma State UniversityUSA
  2. 2.General Electric Corporate Research & Development CenterUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-6313-6
  • Copyright Information Kluwer Academic Publishers 1997
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-7898-3
  • Online ISBN 978-1-4615-6313-6
  • Series Print ISSN 0893-3405
  • About this book