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  • © 1997

Hadamard Matrix Analysis and Synthesis

With Applications to Communications and Signal/Image Processing

Part of the book series: The Springer International Series in Engineering and Computer Science (SECS, volume 383)

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-x
  2. Kronecker Matrix Algebra

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 1-2
  3. A Hadamard Matrix

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 3-3
  4. The Sylvester-Hadamard Matrix of Rank 2n

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 5-5
  5. The Eigenvalues of H n

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 7-7
  6. The Eigenvectors of H n

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 9-14
  7. Other Constructions of H n

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 15-16
  8. The Hadamard Transform and Its Fast Implementation

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 17-22
  9. The Fast Fourier Transform and the Hadamard Transform

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 27-31
  10. Computational Structures

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 33-34
  11. Efficient Hadamard Transform Domain Computation

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 35-36
  12. The Hadamard Transform in Statistics

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 37-38
  13. The Hadamard Transform and Error-Correction Coding

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 39-50
  14. Boolean Functions

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 51-51
  15. Spectrally Preconditioned Threshold Logic

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 53-65
  16. Synthesis of Bent Functions

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 67-73
  17. The m-Sequence

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 75-82
  18. Composite Sequences

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 83-85
  19. The Thue-Morse Sequence

    • R. K. Rao Yarlagadda, John E. Hershey
    Pages 87-94

About this book

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.

Authors and Affiliations

  • Oklahoma State University, USA

    R. K. Rao Yarlagadda

  • General Electric Corporate Research & Development Center, USA

    John E. Hershey

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access