• DocumentCode
    2506266
  • Title

    Blind extraction of sparse components based on ℓ0-norm minimization

  • Author

    Duarte, Leonardo T. ; Suyama, Ricardo ; Attux, Romis ; Romano, João M T ; Jutten, Christian

  • Author_Institution
    DSPCom Lab., Univ. of Campinas (UNICAMP), Campinas, Brazil
  • fYear
    2011
  • fDate
    28-30 June 2011
  • Firstpage
    617
  • Lastpage
    620
  • Abstract
    We investigate the application of cost functions based on the ℓ0-norm to the problem of blind source extraction (BSE). We show that if the sources have different levels of sparsity, then the minimization of the ℓ0-norm leads to the extraction of the sparsest component even when the sources are statistically dependent. We also study the conditions guaranteeing BSE when an approximation of the ℓ0-norm is considered. Finally, we provide a numerical example to illustrate the applicability of our proposal.
  • Keywords
    approximation theory; blind source separation; ℓ0-norm minimization; BSE; approximation; blind source extraction; sparse components; Approximation methods; Correlation; Cost function; Independent component analysis; Neodymium; Noise; Source separation; ℓ0-norm; Blind source extraction; sparse components;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Statistical Signal Processing Workshop (SSP), 2011 IEEE
  • Conference_Location
    Nice
  • ISSN
    pending
  • Print_ISBN
    978-1-4577-0569-4
  • Type

    conf

  • DOI
    10.1109/SSP.2011.5967775
  • Filename
    5967775
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2506266