Convolution theorems for linear transforms

  • Authors:
  • H.S. Stone

  • Affiliations:
  • NEC Res. Inst., Princeton, NJ

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1998

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Abstract

This correspondence explores the existence of convolution theorem for linear transformations under a variety of different assumptions. There are eight convolution theorems, all Fourier-related with only N operations in the transform domain and no ordering constraints on the convolution components in the result. They include circular convolutions and correlations