• DocumentCode
    3251215
  • Title

    The matrix decomposition representation of DCT algorithms

  • Author

    Ouyang, Wanli ; Song, Dandan ; Xiao, Chuangbai ; Ju, Wenqi

  • Author_Institution
    Coll. of Comput. Sci. & Technol., Beijing Univ. of Technol., China
  • fYear
    2005
  • fDate
    7-10 Aug. 2005
  • Firstpage
    425
  • Abstract
    In this paper, the matrix multiplication theory is utilized to obtain Loeffler´s DCT algorithm and Feig´s DCT algorithm. In addition, the Feig´s algorithm is extended to other three forms. Utilizing matrix decomposition representation, the links and differences between the two algorithms are revealed. This decomposition representation helps understanding and further improving the algorithms using matrix theory.
  • Keywords
    discrete cosine transforms; matrix decomposition; matrix multiplication; Feig DCT algorithm; Loeffler DCT algorithm; discrete cosine transform; matrix decomposition representation; matrix multiplication; matrix theory; Computer science; Discrete cosine transforms; Educational institutions; Matrix decomposition; Paper technology; Signal processing algorithms; Transform coding; VLIW; Video compression; Video signal processing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 2005. 48th Midwest Symposium on
  • Print_ISBN
    0-7803-9197-7
  • Type

    conf

  • DOI
    10.1109/MWSCAS.2005.1594128
  • Filename
    1594128