• DocumentCode
    2887029
  • Title

    Spectral distribution of the product of two random matrices based on binary block codes

  • Author

    Babadi, Behtash ; Tarokh, Vahid

  • Author_Institution
    Sch. of Eng. & Appl. Sci., Harvard Univ., Cambridge, MA, USA
  • fYear
    2011
  • fDate
    28-30 Sept. 2011
  • Firstpage
    917
  • Lastpage
    919
  • Abstract
    In this paper, we study the spectral distribution of the product of two random matrices based on binary block codes, and prove that if the dual distances of the underlying codes are large enough, the asymptotic spectral distribution will be close to a deterministic limit in the sense of Levy distance. These results extend our previous work on this topic, and strengthen its applications to joint randomness testing.
  • Keywords
    binary codes; block codes; matrix algebra; Levy distance; asymptotic spectral distribution; binary block codes; joint randomness testing; random matrix; Atmospheric measurements; Base stations; Binary codes; Block codes; Educational institutions; Niobium; Particle measurements;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communication, Control, and Computing (Allerton), 2011 49th Annual Allerton Conference on
  • Conference_Location
    Monticello, IL
  • Print_ISBN
    978-1-4577-1817-5
  • Type

    conf

  • DOI
    10.1109/Allerton.2011.6120264
  • Filename
    6120264