TY - GEN
T1 - On the equivalence of degraded Gaussian MIMO broadcast channels
AU - Gerdes, Lennart
AU - Riemensberger, Maximilian
AU - Utschick, Wolfgang
N1 - Publisher Copyright:
© VDE Verlag GMBH · Berlin · Offenbach, Germany.
PY - 2015
Y1 - 2015
N2 - In this paper, we discuss the equivalence of different types of degradedness for Gaussian multiple-input multipleoutput (MIMO) broadcast channels. While there are four distinct types of degradedness for discrete memoryless broadcast channels, we show that there is basically only one such type for Gaussian MIMO broadcast channels. In particular, Gaussian MIMO broadcast channels are never physically degraded (except maybe for the practically irrelevant case where at least one destination does not experience any thermal noise), and we prove that a Gaussian MIMO broadcast channel is stochastically degraded if and only if it is both more capable and less noisy. In addition, we provide a very simple condition in terms of the channel gain matrices and noise covariances that characterizes stochastically degraded Gaussian MIMO broadcast channels.
AB - In this paper, we discuss the equivalence of different types of degradedness for Gaussian multiple-input multipleoutput (MIMO) broadcast channels. While there are four distinct types of degradedness for discrete memoryless broadcast channels, we show that there is basically only one such type for Gaussian MIMO broadcast channels. In particular, Gaussian MIMO broadcast channels are never physically degraded (except maybe for the practically irrelevant case where at least one destination does not experience any thermal noise), and we prove that a Gaussian MIMO broadcast channel is stochastically degraded if and only if it is both more capable and less noisy. In addition, we provide a very simple condition in terms of the channel gain matrices and noise covariances that characterizes stochastically degraded Gaussian MIMO broadcast channels.
KW - Broadcast channel
KW - Degraded
KW - Less noisy
KW - MIMO
KW - More capable
UR - https://www.scopus.com/pages/publications/84979695574
M3 - Conference contribution
AN - SCOPUS:84979695574
T3 - Proceedings of 19th International ITG Workshop on Smart Antennas, WSA 2015
BT - Proceedings of 19th International ITG Workshop on Smart Antennas, WSA 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 19th International ITG Workshop on Smart Antennas, WSA 2015
Y2 - 3 March 2015 through 5 March 2015
ER -