Capacity of the Trapdoor Channel With Feedback

H. Permuter,P. Cuff,Benjamin Van Roy,T. Weissman

Published 2006 in IEEE Transactions on Information Theory

ABSTRACT

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.

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