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Degraded Relay Channel with Non-causal State Information at the Source and Relay

A state-dependent discrete memoryless degraded relay channel is considered, with non-causal side information available at both the sender and the relay. The capacity of this relay model is an open problem. We improve upon the known achievable regions for this setting, in addition to proving an outer bound. The key idea in the proof of achievable region is to employ a modified decode-forward scheme. The characterization is then extended to a relay broadcast setting, where an improved inner bound over existing schemes and an outer bound are exhibited.