TY - GEN
T1 - The pre-log of Gaussian broadcast with feedback can be two
AU - Gastpar, Michael
AU - Wigger, Michèle A.
PY - 2008/10/6
Y1 - 2008/10/6
N2 - A generic intuition says that the pre-log, or multi-plexing 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 anti-correlated 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 Schalkwjjk, Kailath, and Ozarow.
AB - A generic intuition says that the pre-log, or multi-plexing 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 anti-correlated 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 Schalkwjjk, Kailath, and Ozarow.
U2 - 10.1109/ITA.2008.4601032
DO - 10.1109/ITA.2008.4601032
M3 - Conference contribution
AN - SCOPUS:52949126731
SN - 1424426707
SN - 9781424426706
T3 - 2008 Information Theory and Applications Workshop - Conference Proceedings, ITA
SP - 545
EP - 546
BT - 2008 Information Theory and Applications Workshop - Conference Proceedings, ITA
T2 - 2008 Information Theory and Applications Workshop - ITA
Y2 - 27 January 2008 through 1 February 2008
ER -