Abstract
It is shown that the effect of a maximum rate transmission on an additional transmitted message, over the additive Gaussian noise channel, is, effectively, that of an additio nal additive Gaussian noise, meaning, that the behavior of the mutual information and minimum mean-square error (MMSE) are as if additional additive Gaussian noise were transmitted. This property provides corner points of the two-user Gaussian interference channel. The result holds under conditions requiring the point-wise convergence of the MMSE.
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