• DocumentCode
    2457976
  • Title

    Disproof of the Shamai-Laroia conjecture

  • Author

    Carmon, Yair ; Shamai, Shlomo ; Weissman, Tsachy

  • Author_Institution
    Israel Inst. of Technol., Technion - Israel Inst. of Technol., Haifa, Israel
  • fYear
    2012
  • fDate
    14-17 Nov. 2012
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    We prove that the conjectured Shamai-Laroia lower bound for the maximum achievable rate in the intersymbol interference channel does not hold. It is shown that in the low SNR regime, the opposite to the conjecture is true, for all ISI channels and essentially all input distributions. Using insights obtained from this proof, we construct a clear counterexample to the conjecture.
  • Keywords
    intersymbol interference; conjectured Shamai-Laroia lower bound; input distributions; intersymbol interference channel; low SNR regime; maximum achievable rate; Approximation methods; Decision feedback equalizers; Information rates; Intersymbol interference; Mutual information; Signal to noise ratio;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electrical & Electronics Engineers in Israel (IEEEI), 2012 IEEE 27th Convention of
  • Conference_Location
    Eilat
  • Print_ISBN
    978-1-4673-4682-5
  • Type

    conf

  • DOI
    10.1109/EEEI.2012.6377098
  • Filename
    6377098
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2457976