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MAC-BC duality with linear-feedback schemes


We show that for the multi-antenna Gaussian MAC and BC with perfect feedback, the largest achievable regions with linear-feedback schemes (called linear-feedback capacity regions) coincide when the same total input-power constraint is imposed on both channels and when the MAC channel matrices are the transposes of the BC channel matrices. In the two-user case, when either transmitters or receiver are single-antenna, the capacity region for the Gaussian MAC is known and the capacity-achieving scheme is a linear-feedback scheme. With our results we can thus determine the linear-feedback capacity region of the two-user Gaussian BC when either transmitter or receivers are single-antenna. For these cases we can also identify the linear-feedback schemes that achieve the linear-feedback capacity. Our results also extend to a partial-feedback setup where only a subset of the feedback links are present.
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hal-01221220 , version 1 (27-10-2015)



Selma Belhadj Amor, Yossef Steinberg, Michèle Wigger. MAC-BC duality with linear-feedback schemes. 2014 IEEE International Symposium on Information Theory (ISIT), Jun 2014, Honolulu, United States. ⟨10.1109/ISIT.2014.6875131⟩. ⟨hal-01221220⟩
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