A Coding Theorem for a Class of Stationary Channels With Feedback

@article{Kim2007ACT,
  title={A Coding Theorem for a Class of Stationary Channels With Feedback},
  author={Young-Han Kim},
  journal={2007 IEEE International Symposium on Information Theory},
  year={2007},
  pages={1856-1860}
}
A coding theorem is proved for a class of stationary channels with feedback in which the output Y<sub>n</sub> = f(X<sub>n-m</sub> <sup>n</sup>, Z<sub>n-m</sub> <sup>n</sup>) is the function of the current and past m symbols from the channel input X<sub>n</sub> and the stationary ergodic channel noise Z<sub>n</sub>. In particular, it is shown that the feedback capacity is equal to lim<sub>nrarr</sub> <sub>infin</sub> sup<sub>p(x</sub> <sup>n</sup> <sub>||y</sub> <sup>n-1</sup> <sub>)</sub> 1/n I… CONTINUE READING