Abstract
We show that the trapdoor channel's capacity with delayed feedback of two time-instances is given by C2fb = log 2(3/2). This demonstrates that the feedback capacity degrades sharply even with a single time-instance delay of the channel outputs. The capacity result is established by showing that the delayed feedback capacity can be formulated as a capacity problem with instantaneous feedback and an extended state. Consequently, graph-based methods can be applied to obtain new computable upper and lower bounds on the capacity, which are shown to coincide for the trapdoor channel.
| Original language | English |
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| Title of host publication | 2022 IEEE International Symposium on Information Theory, ISIT 2022 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 492-497 |
| Number of pages | 6 |
| ISBN (Electronic) | 9781665421591 |
| DOIs | |
| State | Published - 2022 |
| Externally published | Yes |
| Event | 2022 IEEE International Symposium on Information Theory, ISIT 2022 - Espoo, Finland Duration: 26 Jun 2022 → 1 Jul 2022 |
Publication series
| Name | IEEE International Symposium on Information Theory - Proceedings |
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| Volume | 2022-June |
| ISSN (Print) | 2157-8095 |
Conference
| Conference | 2022 IEEE International Symposium on Information Theory, ISIT 2022 |
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| Country/Territory | Finland |
| City | Espoo |
| Period | 26/06/22 → 1/07/22 |
Bibliographical note
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