Upper and lower bounds on the capacity of amplitude-constrained MIMO channels

Alex Dytso, Mario Goldenbaum, Shlomo Shamai, H. Vincent Poor

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Scopus citations

Abstract

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.

Original languageEnglish (US)
Title of host publication2017 IEEE Global Communications Conference, GLOBECOM 2017 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1-6
Number of pages6
ISBN (Electronic)9781509050192
DOIs
StatePublished - Jul 1 2017
Event2017 IEEE Global Communications Conference, GLOBECOM 2017 - Singapore, Singapore
Duration: Dec 4 2017Dec 8 2017

Publication series

Name2017 IEEE Global Communications Conference, GLOBECOM 2017 - Proceedings
Volume2018-January

Other

Other2017 IEEE Global Communications Conference, GLOBECOM 2017
CountrySingapore
CitySingapore
Period12/4/1712/8/17

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Hardware and Architecture
  • Safety, Risk, Reliability and Quality

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    Dytso, A., Goldenbaum, M., Shamai, S., & Poor, H. V. (2017). Upper and lower bounds on the capacity of amplitude-constrained MIMO channels. In 2017 IEEE Global Communications Conference, GLOBECOM 2017 - Proceedings (pp. 1-6). (2017 IEEE Global Communications Conference, GLOBECOM 2017 - Proceedings; Vol. 2018-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/GLOCOM.2017.8254165