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Capacity of the Trapdoor Channel With Feedback

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4 Author(s)
Haim Permuter ; Dept. of Electr. Eng., Stanford Univ., Stanford, CA ; Paul Cuff ; Benjamin Van Roy ; Tsachy Weissman

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.

Published in:

IEEE Transactions on Information Theory  (Volume:54 ,  Issue: 7 )