• DocumentCode
    1135435
  • Title

    A Recursive Algorithm for Sequency-Ordered Fast Walsh Transforms

  • Author

    Brown, R.D.

  • Author_Institution
    Computer Sciences Corporation
  • Issue
    8
  • fYear
    1977
  • Firstpage
    819
  • Lastpage
    822
  • Abstract
    An algorithm has been developed for calculating sequency-ordered fast Walsh-Fourier transforms (FWT´s) using an additive recursion formula. Sequency-ordered FWT´s of an N-dimensioned sampled data set are generated by a summation recursion of FWT´s on subintervals of the data set. The algorithm is fast (N log2 N summations), computer efficient, and can be applied to time-dependent spectral analysis of nonstationary phenomena such as speech.
  • Keywords
    Sequency-ordered Walsh transform, time-dependent spectral analysis, Walsh-Fourier transform.; Contracts; Discrete transforms; Equations; Fast Fourier transforms; Silver; Sparse matrices; Spectral analysis; Speech analysis; Springs; Sequency-ordered Walsh transform, time-dependent spectral analysis, Walsh-Fourier transform.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1977.1674921
  • Filename
    1674921