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Entropy 2018, 20(5), 330;

Continuity of Channel Parameters and Operations under Various DMC Topologies

École Polytechnique Fédérale de Lausanne, Route Cantonale, 1015 Lausanne, Switzerland
This paper is an extended version of our paper that was published in the International Symposium on Information Theory 2017 (ISIT 2017).
Received: 27 March 2018 / Revised: 17 April 2018 / Accepted: 27 April 2018 / Published: 30 April 2018
(This article belongs to the Section Information Theory)
Full-Text   |   PDF [388 KB, uploaded 30 April 2018]


We study the continuity of many channel parameters and operations under various topologies on the space of equivalent discrete memoryless channels (DMC). We show that mutual information, channel capacity, Bhattacharyya parameter, probability of error of a fixed code and optimal probability of error for a given code rate and block length are continuous under various DMC topologies. We also show that channel operations such as sums, products, interpolations and Arıkan-style transformations are continuous. View Full-Text
Keywords: continuity; channel capacity; topology continuity; channel capacity; topology
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Nasser, R. Continuity of Channel Parameters and Operations under Various DMC Topologies. Entropy 2018, 20, 330.

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