• DocumentCode
    1912427
  • Title

    Design of Hypercomplex Alipass-Based Paraunitary Filter Banks applying Reduced Biquaternions

  • Author

    Alfsmann, Daniel ; Göckler, Heinz G.

  • Author_Institution
    Digital Signal Process. Group, Bochum Univ.
  • Volume
    1
  • fYear
    2005
  • fDate
    21-24 Nov. 2005
  • Firstpage
    92
  • Lastpage
    95
  • Abstract
    A novel approach to the design of digital IIR four-channel hypercomplex filter banks is presented, which consists of a first-order allpass sections´ cascade described with reduced biquaternions. Its multiplication rate is a factor of two lower than that of a corresponding quaternionic design. The two-step LMS design procedure is described in sufficient detail, and an illustrative design example is given
  • Keywords
    IIR filters; algebra; channel bank filters; least mean squares methods; digital IIR four-channel hypercomplex filter banks; hypercomplex allpass-based paraunitary filter banks; orthogonal representation; reduced biquaternions; Algebra; Channel bank filters; Color; Digital signal processing; Digital systems; Filter bank; IIR filters; Image processing; Least squares approximation; Quaternions; Filter banks; hypercomplex; orthogonal representation; reduced biquaternions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer as a Tool, 2005. EUROCON 2005.The International Conference on
  • Conference_Location
    Belgrade
  • Print_ISBN
    1-4244-0049-X
  • Type

    conf

  • DOI
    10.1109/EURCON.2005.1629866
  • Filename
    1629866