### Abstract

The fundamental tradeoff of channel coding per unit cost in the fixed-error probability regime is investigated for discrete memoryless channels in the presence of a free input symbol. The speed of convergence to the capacity per unit cost in the absence of feedback is characterized in terms of a characteristic of the channel and cost function, which is referred to as ϵ-dispersion per unit cost. Further, a sufficient condition for feedback to improve this convergence speed is provided.

Original language | English (US) |
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Title of host publication | Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 2429-2433 |

Number of pages | 5 |

ISBN (Electronic) | 9781509018062 |

DOIs | |

State | Published - Aug 10 2016 |

Event | 2016 IEEE International Symposium on Information Theory, ISIT 2016 - Barcelona, Spain Duration: Jul 10 2016 → Jul 15 2016 |

### Publication series

Name | IEEE International Symposium on Information Theory - Proceedings |
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Volume | 2016-August |

ISSN (Print) | 2157-8095 |

### Other

Other | 2016 IEEE International Symposium on Information Theory, ISIT 2016 |
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Country | Spain |

City | Barcelona |

Period | 7/10/16 → 7/15/16 |

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Information Systems
- Modeling and Simulation
- Applied Mathematics

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## Cite this

Altug, Y., Poor, H. V., & Verdu, S. (2016). On channel dispersion per unit cost. In

*Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory*(pp. 2429-2433). [7541735] (IEEE International Symposium on Information Theory - Proceedings; Vol. 2016-August). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2016.7541735