• DocumentCode
    1486203
  • Title

    On the number of points on shells for shifted Z4n lattices

  • Author

    Fortier, Paul

  • Author_Institution
    Dept. of Electr. Eng., Laval Univ., Que., Canada
  • Volume
    37
  • Issue
    2
  • fYear
    1991
  • fDate
    3/1/1991 12:00:00 AM
  • Firstpage
    391
  • Lastpage
    393
  • Abstract
    A conjecture is proven on the number of points on shells for the shifted Z4 and the shifted Z8 lattices. Furthermore, the results are extended to any shifted Z4n lattice (n=0, 1, . . .). These results provide an easy way to compute the number of points on shells for the type of lattices used in the design of multidimensional signal sets or in vector coding
  • Keywords
    encoding; information theory; multidimensional signal sets; number of points; shells; shifted Z4n lattices; vector coding; Jacobian matrices; Lagrangian functions; Lattices; Multidimensional systems; Signal design;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.75262
  • Filename
    75262
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1486203