TY - GEN
T1 - The pre-log of Gaussian broadcast with feedback can be two
AU - Wigger, Michèle A.
AU - Gastpar, Michael
PY - 2008/9/29
Y1 - 2008/9/29
N2 - A generic intuition says that the pre-log, or multilexing gain, cannot be larger than the minimum of the number of transmit and receive dimensions. This suggests that for the scalar broadcast channel, the pre-log cannot exceed one. By contrast, in this note, we show that when the noises are anticorrelated and feedback is present, then a pre-log of two can be attained. In other words, in this special case, in the limit of high SNR, the scalar Gaussian broadcast channel turns into two parallel AWGN channels. Achievability is established via a coding strategy due to Schalkwijk, Kailath, and Ozarow.
AB - A generic intuition says that the pre-log, or multilexing gain, cannot be larger than the minimum of the number of transmit and receive dimensions. This suggests that for the scalar broadcast channel, the pre-log cannot exceed one. By contrast, in this note, we show that when the noises are anticorrelated and feedback is present, then a pre-log of two can be attained. In other words, in this special case, in the limit of high SNR, the scalar Gaussian broadcast channel turns into two parallel AWGN channels. Achievability is established via a coding strategy due to Schalkwijk, Kailath, and Ozarow.
UR - https://www.scopus.com/pages/publications/52349087076
U2 - 10.1109/ISIT.2008.4595189
DO - 10.1109/ISIT.2008.4595189
M3 - Conference contribution
AN - SCOPUS:52349087076
SN - 9781424422579
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1258
EP - 1262
BT - Proceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008
T2 - 2008 IEEE International Symposium on Information Theory, ISIT 2008
Y2 - 6 July 2008 through 11 July 2008
ER -