Abstract
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.
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.
| Original language | English |
|---|---|
| Title of host publication | 22th International Zurich Seminar on Communications (IZS) |
| State | Published - 2012 |