On Gaussian Channels with MMSE Interference
نویسندگان
چکیده
We examine codes, over the additive Gaussian noise channel, designed for for reliable communication at some specific signal-to-noise ratio (snr) and constrained by the permitted MMSE at some lower snr. We show that the maximum possible rate is the one attained by superposition codebooks. Moreover, the MMSE function of codes attaining this maximum rate under the MMSE constraint is completely defined for all snr. The problem is also extended to the maximization of the rate under two MMSE constraints. The optimal rate is again achieved by three-layers superposition codes.
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