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On the Common Randomness Capacity of a Special Class of Two-way Channels

2019/06/26 by Hajizadeh, Saeed
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1906.11231

Abstract

In this paper, we would like to study the common randomness (CR) capacity of intertwined two-way channels, namely those whose marginal channel transition probabilities depends also on the signal they transmit. We bring a few special settings and provide constructive schemes with which the two nodes can agree upon a common randomness. We then provide an outer bound on the CR capacity of intertwined receiver-decomposable (RD) two-way channel and will provide a bound on the cardinality of the available auxiliary variables. We will also show this outer bound is bounded above by Venkatesan-Anantharam CR capacity which makes it tight for decomposing two-way setting.

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