Canonical transformations of the discrete cosine transform

  • Authors:
  • Mohamed F. Mansour

  • Affiliations:
  • Texas Instruments Inc., DSP Solutions R&D Center, Dallas, TX 75243, USA

  • Venue:
  • Signal Processing
  • Year:
  • 2007

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Abstract

We provide different transformation formulae between the different discrete cosine transform (DCT) types of the same size. The transformations use only diagonal and special lower/upper triangular matrices that minimize the overhead of transformation. These transformations provide a tool for using any of the DCT types as a core module for computing all other types.