Next Article in Journal
Non-Gaussian Systems Control Performance Assessment Based on Rational Entropy
Previous Article in Journal
Minimum Penalized ϕ-Divergence Estimation under Model Misspecification
Article Menu
Issue 5 (May) cover image

Export Article

Open AccessArticle
Entropy 2018, 20(5), 330; https://doi.org/10.3390/e20050330

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)
View Full-Text   |   Download PDF [388 KB, uploaded 30 April 2018]

Abstract

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).
SciFeed

Share & Cite This Article

MDPI and ACS Style

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

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top