• DocumentCode
    3064863
  • Title

    Typicality graphs and their properties

  • Author

    Nazari, Ali ; Krithivasan, Dinesh ; Pradhan, S. Sandeep ; Anastasopoulos, Achilleas ; Venkataramanan, Ramji

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI, USA
  • fYear
    2010
  • fDate
    13-18 June 2010
  • Firstpage
    520
  • Lastpage
    524
  • Abstract
    Let X and Y be finite alphabets and PXY a joint distribution over them, with PX and PY representing the marginals. For any ϵ > 0, the set of n-length sequences xn and yn that are jointly typical according to PXY can be represented on a bipartite graph. We present a formal definition of such a graph, known as a typicality graph, and study some of its properties. These properties arise in the study of several multiuser communication problems.
  • Keywords
    graph theory; bipartite graph; finite alphabets; joint distribution; multiuser communication problems; n-length sequences; typicality graphs; Bipartite graph; Broadcasting; Computer science; Context; Feedback; Histograms; Information theory; Random variables;
  • 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.2010.5513495
  • Filename
    5513495