Capacity of a Class of Semi-deterministic Relay Channel with Orthogonal Components and Channel State
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摘要: 该文研究了一类有信道状态的正交中继信道的容量。在该信道中,源节点到中继节点间的信道与源节点和中继节点到目的节点间的信道是正交的,且这两个正交信道的传输受到同一信道状态的控制,而信道状态在源节点和中继节点处是非因果已知的。基于叠加码,协作的GP(Gelfand-Pinsker) 编码以及部分译码前传(Partial- Decode-and-Forward, PDF)中继策略,该文首先得到了该信道的容量的下界。其次,针对半确定的正交中继信道,其目的节点的信道输出是中继节点信道输入、源节点信道输入以及信道状态的确定性函数,得到了该信道的容量的确切表达式。Abstract: A class of state-dependent relay channel with orthogonal channels from the source to the relay and from the source and the relay to the destination is studied. The two orthogonal channels are corrupted by a common channel state which is known to both the source and the relay non-causally. Based on superposition coding, cooperative GP (Gelfand-Pinsker) coding and PDF (Partial-Decode-and-Forward) relaying, the lower bound on the capacity for this channel is established firstly. Then, for the semi-deterministic relay channel with orthogonal components whose receiver output is a deterministic function of the relay input, one of the source inputs and the channel state, the explicit capacity is characterized exactly.
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