• DocumentCode
    1474787
  • Title

    Refinements of the half-bit and factor-of-two bounds for capacity in Gaussian channel with feedback

  • Author

    Chen, Han Wu ; Yanagi, Kenjiro

  • Author_Institution
    Graduate Sch. of Sci. & Eng., Yamaguchi Univ., Ube, Japan
  • Volume
    45
  • Issue
    1
  • fYear
    1999
  • fDate
    1/1/1999 12:00:00 AM
  • Firstpage
    319
  • Lastpage
    325
  • Abstract
    We consider the upper bounds of the finite blocklength capacity C n,FB(P) of the discrete time Gaussian channel with feedback. We also let Cn(p) be the nonfeedback capacity. We prove the relations Cn(P)⩽Cn,FB(P)⩽Cn (αP)+½ln(1+1/α) and Cn(P)⩽Cn,FB(P)⩽(1+1/α)Cn (αP) for any P>0 and any α>0, which induce the half-bit and factor-of-two bounds given by Cover and Pombra (1989) in the special case of α=1
  • Keywords
    Gaussian channels; channel capacity; feedback; discrete time Gaussian channel; factor-of-two bound; feedback; finite blocklength capacity; half-bit bound; nonfeedback capacity; upper bounds; Capacity planning; Channel capacity; Decoding; Gaussian channels; Gaussian noise; Gaussian processes; Output feedback; Signal processing; Stochastic processes; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.746831
  • Filename
    746831
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1474787