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Continuity of Channel Parameters and Operations under Various DMC Topologies †

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...

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Detalles Bibliográficos
Autor principal: Nasser, Rajai
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512849/
https://www.ncbi.nlm.nih.gov/pubmed/33265420
http://dx.doi.org/10.3390/e20050330
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author Nasser, Rajai
author_facet Nasser, Rajai
author_sort Nasser, Rajai
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description 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.
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spelling pubmed-75128492020-11-09 Continuity of Channel Parameters and Operations under Various DMC Topologies † Nasser, Rajai Entropy (Basel) Article 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. MDPI 2018-04-30 /pmc/articles/PMC7512849/ /pubmed/33265420 http://dx.doi.org/10.3390/e20050330 Text en © 2018 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Nasser, Rajai
Continuity of Channel Parameters and Operations under Various DMC Topologies †
title Continuity of Channel Parameters and Operations under Various DMC Topologies †
title_full Continuity of Channel Parameters and Operations under Various DMC Topologies †
title_fullStr Continuity of Channel Parameters and Operations under Various DMC Topologies †
title_full_unstemmed Continuity of Channel Parameters and Operations under Various DMC Topologies †
title_short Continuity of Channel Parameters and Operations under Various DMC Topologies †
title_sort continuity of channel parameters and operations under various dmc topologies †
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512849/
https://www.ncbi.nlm.nih.gov/pubmed/33265420
http://dx.doi.org/10.3390/e20050330
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