Capacity of the trapdoor channel with feedback

Haim Permuter; Paul Cuff; Benjamine Van Roy; Tsachy Weissman

doi:10.1109/TIT.2008.924681

Capacity of the trapdoor channel with feedback

Haim Permuter
, Paul Cuff
, Benjamine Van Roy
, Tsachy Weissman

Research output: Contribution to journal › Article › peer-review

105 Scopus citations

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.

Original language	English
Pages (from-to)	3150-3165
Number of pages	16
Journal	IEEE Transactions on Information Theory
Volume	54
Issue number	7
DOIs	https://doi.org/10.1109/TIT.2008.924681
State	Published - 1 Jul 2008
Externally published	Yes

Keywords

Bellman equation
Chemical channel
Constrained coding
Directed information
Feedback capacity
Golden-ratio
Infinite-horizon dynamic program
Trapdoor channel
Value iteration

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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10.1109/TIT.2008.924681

Cite this

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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.",

keywords = "Bellman equation, Chemical channel, Constrained coding, Directed information, Feedback capacity, Golden-ratio, Infinite-horizon dynamic program, Trapdoor channel, Value iteration",

author = "Haim Permuter and Paul Cuff and \{Van Roy\}, Benjamine and Tsachy Weissman",

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AB - 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.

KW - Bellman equation

KW - Chemical channel

KW - Constrained coding

KW - Directed information

KW - Feedback capacity

KW - Golden-ratio

KW - Infinite-horizon dynamic program

KW - Trapdoor channel

KW - Value iteration

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Capacity of the trapdoor channel with feedback

Abstract

Keywords

ASJC Scopus subject areas

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