Capacity of the Trapdoor Channel with Feedback

Details Capacity of the Trapdoor Channel with Feedback Capacity of the Trapdoor Channel with Feedback

2006-10-09

arxiv.org/abs/cs/0610047v1

Computer Science

Information Theory

Scientific paper

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 analytic solution.

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