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State-Dependent Relay Channel: Achievable Rate and Capacity of a Semideterministic Class

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3 Author(s)
Majid Nasiri Khormuji ; School of Electrical Engineering and the ACCESS Linnaeus Center, Royal Institute of Technology (KTH), Stockholm, Sweden ; Abbas El Gamal ; Mikael Skoglund

This paper considers the problem of communicating over a relay channel with state when noncausal state information is partially available at the nodes. We first establish a lower bound on the achievable rates based on noisy network coding and Gelfand-Pinsker coding, and show that it provides an alternative characterization of a previously known bound. We then introduce the class of state-decoupled relay channels and show that our lower bound is tight for a subclass of semideterministic channels. We also compute the capacity for two specific examples of this subclass - a channel with multiplicative binary fading and a channel with additive Gaussian interference. These examples are not special cases of previous classes of semideterministic relay channels with known capacity.

Published in:

IEEE Transactions on Information Theory  (Volume:59 ,  Issue: 5 )