Duality with Linear-Feedback Schemes for the Scalar Gaussian MAC and BC
Abstract
We show that with perfect feedback and when restricting to linear-feedback schemes, the regions achieved over the two-user scalar Gaussian memoryless MAC and over the two-user scalar Gaussian memoryless BC coincide, if the MAC and the BC have equal channel coefficients and if the same (sum-)power constraint P is imposed on their inputs. Since the achievable region for the MAC is well known (it equals Ozarow's perfect-feedback capacity region under a sum-power constraint), we can characterize the region that is achievable over the scalar Gaussian BC with linear-feedback schemes.
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