TY - GEN
T1 - Upper and lower bounds on the capacity of amplitude-constrained MIMO channels
AU - Dytso, Alex
AU - Goldenbaum, Mario
AU - Shamai, Shlomo
AU - Vincent Poor, H.
N1 - Funding Information: National Science Foundation under Grants CCF-1420575 and CNS-1456793 Funding Information: This work was supported in part by the U. S. National Science Foundation under Grants CCF-1420575 and CNS-1456793, by the German Research Foundation under Grant GO 2669/1-1, and by the European Union’s Horizon 2020 Research And Innovation Programme, grant agreement no. 694630. Publisher Copyright: © 2017 IEEE.
PY - 2017/7/1
Y1 - 2017/7/1
N2 - In this work, novel upper and lower bounds on the capacity of channels with arbitrary constraints on the support of the channel input symbols are derived. As an immediate practical application, the case of multiple-input multiple-output channels with amplitude constraints is considered. The bounds are shown to be within a constant gap if the channel matrix is invertible and are tight in the high amplitude regime for arbitrary channel matrices. Moreover, in the high amplitude regime, it is shown that the capacity scales linearly with the minimum of the numbers of transmit and receive antennas, similarly to the case of average power-constrained inputs.
AB - In this work, novel upper and lower bounds on the capacity of channels with arbitrary constraints on the support of the channel input symbols are derived. As an immediate practical application, the case of multiple-input multiple-output channels with amplitude constraints is considered. The bounds are shown to be within a constant gap if the channel matrix is invertible and are tight in the high amplitude regime for arbitrary channel matrices. Moreover, in the high amplitude regime, it is shown that the capacity scales linearly with the minimum of the numbers of transmit and receive antennas, similarly to the case of average power-constrained inputs.
UR - https://www.scopus.com/pages/publications/85042597523
U2 - 10.1109/GLOCOM.2017.8254165
DO - 10.1109/GLOCOM.2017.8254165
M3 - Conference contribution
T3 - 2017 IEEE Global Communications Conference, GLOBECOM 2017 - Proceedings
SP - 1
EP - 6
BT - 2017 IEEE Global Communications Conference, GLOBECOM 2017 - Proceedings
T2 - 2017 IEEE Global Communications Conference, GLOBECOM 2017
Y2 - 4 December 2017 through 8 December 2017
ER -