• DocumentCode
    3070027
  • Title

    Closest point algorithms with lp norm for root lattices

  • Author

    Takizawa, Kenichirou ; Yagi, Hideki ; Kawabata, Tsutomu

  • Author_Institution
    Dept. of Inf. & Commun. Eng., Univ. of Electro-Commun., Tokyo, Japan
  • fYear
    2010
  • fDate
    13-18 June 2010
  • Firstpage
    1042
  • Lastpage
    1046
  • Abstract
    We study quantizers with lp norm, with p ≥ 1, for the root lattices. Our algorithms extend the ones proposed by Conway and Sloane [1] with l2 norm. They proposed an interesting algorithm for An lattice, but without proof of the optimality. We give the proof of the optimality with our extended case of lp norm. We also give an algorithm for E6 and its dual, which are not described in [1].
  • Keywords
    quantisation (signal); closest point algorithm; optimality proof; quantizers; root lattices; Algebra; Lattices; Rate-distortion; Vector quantization; Yagi-Uda antennas;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on
  • Conference_Location
    Austin, TX
  • Print_ISBN
    978-1-4244-7890-3
  • Electronic_ISBN
    978-1-4244-7891-0
  • Type

    conf

  • DOI
    10.1109/ISIT.2010.5513727
  • Filename
    5513727
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3070027