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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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Formato: | Online Artículo Texto |
Lenguaje: | English |
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MDPI
2018
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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 |
collection | PubMed |
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. |
format | Online Article Text |
id | pubmed-7512849 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT nasserrajai continuityofchannelparametersandoperationsundervariousdmctopologies |