TY - GEN
T1 - Separability of parallel Gaussian MIMO broadcast channels with shaping constraints
AU - Hellings, Christoph
AU - Utschick, Wolfgang
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/8/27
Y1 - 2015/8/27
N2 - It is well known that separate coding on each carrier is capacity-Achieving in parallel Gaussian multiple-input multiple-output (MIMO) broadcast channels in the sense that the sum rate capacity under a sum power constraint is achievable with separate coding if the noise is independent on each carrier. In this paper, we generalize this statement by proving that the optimality of separate coding also holds under per-carrier shaping constraints, i.e., a sum covariance constraint on each carrier instead of a sum power constraint. Moreover, we show that not only the sum rate optimal point, but the whole capacity region can be achieved with separate coding. Finally, we prove that the worst-case noise in a MIMO broadcast channel with shaping constraints is independent across carriers.
AB - It is well known that separate coding on each carrier is capacity-Achieving in parallel Gaussian multiple-input multiple-output (MIMO) broadcast channels in the sense that the sum rate capacity under a sum power constraint is achievable with separate coding if the noise is independent on each carrier. In this paper, we generalize this statement by proving that the optimality of separate coding also holds under per-carrier shaping constraints, i.e., a sum covariance constraint on each carrier instead of a sum power constraint. Moreover, we show that not only the sum rate optimal point, but the whole capacity region can be achieved with separate coding. Finally, we prove that the worst-case noise in a MIMO broadcast channel with shaping constraints is independent across carriers.
KW - Capacity region
KW - covariance constraints
KW - dirty paper coding
KW - multiuser MIMO systems
KW - parallel broadcast channels
UR - https://www.scopus.com/pages/publications/84953400018
U2 - 10.1109/SPAWC.2015.7227013
DO - 10.1109/SPAWC.2015.7227013
M3 - Conference contribution
AN - SCOPUS:84953400018
T3 - IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC
SP - 126
EP - 130
BT - SPAWC 2015 - 16th IEEE International Workshop on Signal Processing Advances in Wireless Communications
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 16th IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2015
Y2 - 28 June 2015 through 1 July 2015
ER -