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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| Format: | Article |
| Language: | English |
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MDPI AG
2018-04-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/20/5/330 |
| _version_ | 1798042107483521024 |
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| author | Rajai Nasser |
| author_facet | Rajai Nasser |
| author_sort | Rajai Nasser |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-11T22:30:55Z |
| format | Article |
| id | doaj.art-26d94f60217d44d29bece732ec87a4af |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T22:30:55Z |
| publishDate | 2018-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-26d94f60217d44d29bece732ec87a4af2022-12-22T03:59:24ZengMDPI AGEntropy1099-43002018-04-0120533010.3390/e20050330e20050330Continuity of Channel Parameters and Operations under Various DMC TopologiesRajai Nasser0École Polytechnique Fédérale de Lausanne, Route Cantonale, 1015 Lausanne, SwitzerlandWe 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.http://www.mdpi.com/1099-4300/20/5/330continuitychannel capacitytopology |
| spellingShingle | Rajai Nasser Continuity of Channel Parameters and Operations under Various DMC Topologies Entropy continuity channel capacity topology |
| 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 | continuity channel capacity topology |
| url | http://www.mdpi.com/1099-4300/20/5/330 |
| work_keys_str_mv | AT rajainasser continuityofchannelparametersandoperationsundervariousdmctopologies |