Capacity approximation of memoryless channels with countable output alphabets

Sutter, Tobias; Mohajerin Esfahani, Peyman; Sutter, David; Lygeros, John

Capacity approximation of memoryless channels with countable output alphabets

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Date

2014

Authors

Sutter, Tobias

Mohajerin Esfahani, Peyman

Sutter, David

Lygeros, John

Publication type

Contribution to a conference collection

Publication status

Published

Published in

2014 IEEE International Symposium on Information Theory. - Piscataway, NJ : IEEE, 2014. - pp. 2909-2913. - ISSN 2157-8095. - eISSN 2157-8117. - ISBN 978-1-4799-5186-4

Abstract

We present a new algorithm, based on duality of convex programming and the specific structure of the channel capacity problem, to iteratively construct upper and lower bounds for the capacity of memoryless channels having continuous input and countable output alphabets. Under a mild assumption on the decay rate of the channel's tail, explicit bounds for the approximation error are provided. We demonstrate the applicability of our result on the discrete-time Poisson channel having a peak-power input constraint.

Subject (DDC)

004 Computer Science

Conference

2014 IEEE International Symposium on Information Theory, Jun 29, 2014 - Jul 4, 2014, Honolulu, HI, USA

Cite This

ISO 690

SUTTER, Tobias, Peyman MOHAJERIN ESFAHANI, David SUTTER, John LYGEROS, 2014. Capacity approximation of memoryless channels with countable output alphabets. 2014 IEEE International Symposium on Information Theory. Honolulu, HI, USA, Jun 29, 2014 - Jul 4, 2014. In: 2014 IEEE International Symposium on Information Theory. Piscataway, NJ:IEEE, pp. 2909-2913. ISSN 2157-8095. eISSN 2157-8117. ISBN 978-1-4799-5186-4. Available under: doi: 10.1109/ISIT.2014.6875366

BibTex

@inproceedings{Sutter2014Capac-55743,
  year={2014},
  doi={10.1109/ISIT.2014.6875366},
  title={Capacity approximation of memoryless channels with countable output alphabets},
  isbn={978-1-4799-5186-4},
  issn={2157-8095},
  publisher={IEEE},
  address={Piscataway, NJ},
  booktitle={2014 IEEE International Symposium on Information Theory},
  pages={2909--2913},
  author={Sutter, Tobias and Mohajerin Esfahani, Peyman and Sutter, David and Lygeros, John}
}

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