• DocumentCode
    755954
  • Title

    Capacity of the Trapdoor Channel With Feedback

  • Author

    Permuter, Haim ; Cuff, Paul ; Van Roy, B. ; Weissman, Tsachy

  • Author_Institution
    Dept. of Electr. Eng., Stanford Univ., Stanford, CA
  • Volume
    54
  • Issue
    7
  • fYear
    2008
  • fDate
    7/1/2008 12:00:00 AM
  • Firstpage
    3150
  • Lastpage
    3165
  • Abstract
    We establish that the feedback capacity of the trapdoor channel is the logarithm of the golden ratio and provide a simple communication scheme that achieves capacity. As part of the analysis, we formulate a class of dynamic programs that characterize capacities of unifilar finite-state channels. The trapdoor channel is an instance that admits a simple closed-form solution.
  • Keywords
    channel capacity; feedback; feedback; golden ratio; simple communication scheme; trapdoor channel capacity; unifilar finite-state channels; Books; Channel capacity; Chemicals; Closed-form solution; Equations; Feedback; Information theory; Jamming; Relays; Transmitters; Bellman equation; chemical channel; constrained coding; directed information; feedback capacity; golden-ratio; infinite-horizon dynamic program; trapdoor channel; value iteration;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2008.924681
  • Filename
    4544986