TY - GEN
T1 - The capacity of the multi-MMSE constrained Gaussian channel
AU - Bustin, Ronit
AU - Shamai, Shlomo
PY - 2012
Y1 - 2012
N2 - We examine codes, over the additive Gaussian noise channel, designed for reliable communication at some specific signal-to-noise ratio (snr) and constrained by the permitted MMSE at K lower snrs. Extending the result of the single MMSE constrained code, we show that K-layers superposition codes attain the constrained capacity. Moreover, we prove that given a reliable code attaining the multi-MMSE constrained capacity, its MMSE and mutual information, as functions of snr, are completely defined. Thus, no other multi-MMSE constrained capacity achieving code attains better MMSE performance at unconstrained snrs.
AB - We examine codes, over the additive Gaussian noise channel, designed for reliable communication at some specific signal-to-noise ratio (snr) and constrained by the permitted MMSE at K lower snrs. Extending the result of the single MMSE constrained code, we show that K-layers superposition codes attain the constrained capacity. Moreover, we prove that given a reliable code attaining the multi-MMSE constrained capacity, its MMSE and mutual information, as functions of snr, are completely defined. Thus, no other multi-MMSE constrained capacity achieving code attains better MMSE performance at unconstrained snrs.
UR - http://www.scopus.com/inward/record.url?scp=84867566977&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2012.6283058
DO - 10.1109/ISIT.2012.6283058
M3 - منشور من مؤتمر
SN - 9781467325790
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 125
EP - 129
BT - 2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012
T2 - 2012 IEEE International Symposium on Information Theory, ISIT 2012
Y2 - 1 July 2012 through 6 July 2012
ER -