The $p$-Product and its Applications in Signal Processing

  • Authors:

  • Huixia Zhu;Gerhard X. Ritter

  • Affiliations:

  • -;-

  • Venue:
  • SIAM Journal on Matrix Analysis and Applications
  • Year:
  • 1995

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Abstract

This paper introduces a new matrix product that proves useful in the representation of a large class of orthogonal transforms. It is shown that transform representation in terms of this product provides novel computational methods for computing the fast Fourier transform, the fast Walsh transform, a fast generalized Walsh transform, as well as a fast wavelet transform. Uniqueness and the advantages of this new formalism over traditional methods are also discussed.