The capacity of the class of relay channels with senderx₁, a relay senderx₂, a relay receivery₁=f(x₁,x₂), and ultimate receiveryis proved to beC = maxmin_{p(x₁,x₂)} \{I(X₁, X₂; Y), H(Y₁|X₂)+I(X₁;Y|X₂,Y₁})\}.
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Gamal et al. (1982) studied this question.
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