TY - GEN
T1 - Properties of the MMSE of "bad" codes
AU - Bustin, Ronit
AU - Shamai, Shlomo
PY - 2011
Y1 - 2011
N2 - We examine non-optimal codes (alternatively referred to as "bad" codes), over the additive Gaussian noise channel. These codes are required to attain a minimum rate at a specific signal-to-noise ratio (snr). For these codes, we provide a tight lower bound on the minimum mean square error (MMSE), valid for any snr, attainable by superposition codebooks, optimal for a specific degraded Gaussian broadcast channel (BC). Moreover, the MMSE function of codes, attaining a minimum required rate at some snr, and the lower bound on the MMSE at some other snr, is completely defined for all snr, and is the one obtained by the corresponding superposition codebooks.
AB - We examine non-optimal codes (alternatively referred to as "bad" codes), over the additive Gaussian noise channel. These codes are required to attain a minimum rate at a specific signal-to-noise ratio (snr). For these codes, we provide a tight lower bound on the minimum mean square error (MMSE), valid for any snr, attainable by superposition codebooks, optimal for a specific degraded Gaussian broadcast channel (BC). Moreover, the MMSE function of codes, attaining a minimum required rate at some snr, and the lower bound on the MMSE at some other snr, is completely defined for all snr, and is the one obtained by the corresponding superposition codebooks.
UR - http://www.scopus.com/inward/record.url?scp=84856094236&partnerID=8YFLogxK
U2 - 10.1109/Allerton.2011.6120384
DO - 10.1109/Allerton.2011.6120384
M3 - منشور من مؤتمر
SN - 9781457718168
T3 - 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
SP - 1779
EP - 1784
BT - 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
T2 - 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Y2 - 28 September 2011 through 30 September 2011
ER -