• DocumentCode
    1087331
  • Title

    Generalized transforms

  • Author

    Elliott, Douglas F.

  • Author_Institution
    Rockwell International Anaheim, Calif
  • Volume
    23
  • Issue
    6
  • fYear
    1975
  • fDate
    12/1/1975 12:00:00 AM
  • Firstpage
    586
  • Lastpage
    591
  • Abstract
    A recent class of continuous transforms is generalized to give an infinite number of new transforms. A frequency interpretation of the transform base functions gives fast generalized transform (FGT) matrices using standard digit reversal techniques. Examples of FGT factorizations are given. Advantages of the generalized transforms include continuous transform properties for system design and analysis and FGT algorithms for practical applications using digital hardware.
  • Keywords
    Algorithm design and analysis; Compaction; Discrete Fourier transforms; Discrete transforms; Fast Fourier transforms; Filters; Flyback transformers; Frequency; Hardware; System analysis and design;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/TASSP.1975.1162746
  • Filename
    1162746