• DocumentCode
    1332716
  • Title

    On the step response of the DCT

  • Author

    Andrew, J.P. ; Ogunbona, P.O.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Wollongong Univ., NSW, Australia
  • Volume
    44
  • Issue
    3
  • fYear
    1997
  • fDate
    3/1/1997 12:00:00 AM
  • Firstpage
    260
  • Lastpage
    262
  • Abstract
    We show that the discrete cosine transform (DCT) is the best orthogonal transform, in terms of energy packing efficiency, for coding input steps of uniformly distributed random phase. Over sufficiently small block sizes, edges in an image can be modeled as such step inputs. This characteristic of the DCT, coupled with its high energy packing efficiency for highly correlated data, helps explain the impressive performance of the DCT for image compression
  • Keywords
    data compression; discrete cosine transforms; image coding; step response; DCT; block transform; coding; correlated data; discrete cosine transform; edge model; energy packing efficiency; image compression; orthogonal transform; random phase; step response; Circuits; Decorrelation; Digital signal processing; Discrete cosine transforms; Discrete transforms; Finite impulse response filter; Image coding; Karhunen-Loeve transforms;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7130
  • Type

    jour

  • DOI
    10.1109/82.558462
  • Filename
    558462