Rate and Nearly-Lossless State over the Gilbert–Elliott Channel
The capacity of the Gilbert–Elliott channel is calculated for a setting in which the state sequence is revealed to the encoder and is, along with the transmitted message, to be conveyed to the receiver with a vanishing symbol error rate. Said capacity does not depend on whether the state sequence is...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-05-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/27/5/494 |
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| author | Amos Lapidoth Ligong Wang |
| author_facet | Amos Lapidoth Ligong Wang |
| author_sort | Amos Lapidoth |
| collection | DOAJ |
| description | The capacity of the Gilbert–Elliott channel is calculated for a setting in which the state sequence is revealed to the encoder and is, along with the transmitted message, to be conveyed to the receiver with a vanishing symbol error rate. Said capacity does not depend on whether the state sequence is provided to the encoder strictly causally, causally, or noncausally. It can be achieved using a Block-Markov coding scheme with backward decoding. |
| format | Article |
| id | doaj-art-a8f091ef419e4103aaf7b29a84d91b0c |
| institution | OA Journals |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-a8f091ef419e4103aaf7b29a84d91b0c2025-08-20T01:56:31ZengMDPI AGEntropy1099-43002025-05-0127549410.3390/e27050494Rate and Nearly-Lossless State over the Gilbert–Elliott ChannelAmos Lapidoth0Ligong Wang1Department of Information Technology and Electrical Engineering, ETH Zurich, 8092 Zurich, SwitzerlandDepartment of Information Technology and Electrical Engineering, ETH Zurich, 8092 Zurich, SwitzerlandThe capacity of the Gilbert–Elliott channel is calculated for a setting in which the state sequence is revealed to the encoder and is, along with the transmitted message, to be conveyed to the receiver with a vanishing symbol error rate. Said capacity does not depend on whether the state sequence is provided to the encoder strictly causally, causally, or noncausally. It can be achieved using a Block-Markov coding scheme with backward decoding.https://www.mdpi.com/1099-4300/27/5/494causalGilbert–Elliott channelnoncausalrate-and-state capacitystate informationstrictly causal |
| spellingShingle | Amos Lapidoth Ligong Wang Rate and Nearly-Lossless State over the Gilbert–Elliott Channel Entropy causal Gilbert–Elliott channel noncausal rate-and-state capacity state information strictly causal |
| title | Rate and Nearly-Lossless State over the Gilbert–Elliott Channel |
| title_full | Rate and Nearly-Lossless State over the Gilbert–Elliott Channel |
| title_fullStr | Rate and Nearly-Lossless State over the Gilbert–Elliott Channel |
| title_full_unstemmed | Rate and Nearly-Lossless State over the Gilbert–Elliott Channel |
| title_short | Rate and Nearly-Lossless State over the Gilbert–Elliott Channel |
| title_sort | rate and nearly lossless state over the gilbert elliott channel |
| topic | causal Gilbert–Elliott channel noncausal rate-and-state capacity state information strictly causal |
| url | https://www.mdpi.com/1099-4300/27/5/494 |
| work_keys_str_mv | AT amoslapidoth rateandnearlylosslessstateoverthegilbertelliottchannel AT ligongwang rateandnearlylosslessstateoverthegilbertelliottchannel |