We establish that the feedback capacity of the trapdoor channel is the logarithm of the golden ratio and provide a simple communication scheme that achieves capacity. As part of the analysis, we formulate a class of dynamic programs that characterize capacities of unifilar finite-state channels. The trapdoor channel is an instance that admits a simple closed-form solution.
Capacity of the Trapdoor Channel With Feedback
H. Permuter,P. Cuff,Benjamin Van Roy,T. Weissman
Published 2006 in IEEE Transactions on Information Theory
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- Publication year
2006
- Venue
IEEE Transactions on Information Theory
- Publication date
2006-10-09
- Fields of study
Mathematics, Computer Science
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