Capacity of the discrete-time non-coherent memoryless MIMO channels at low SNR

Zouheir Rezki*, David Haccoun, François Gagnon

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

The capacity of a discrete-time memoryless Gaussian channel, where the channel state information (CSI) is neither available at the transmitter nor at the receiver, is addressed. A closed form expression of the optimal capacity-achieving input distribution at low signal-to-noise ratio (SNR) is derived, and the exact capacity of a non-coherent Single Input Single Output (SISO) channel is given. The derived relations allow to better understanding the capacity of non-coherent channels at low SNR. Then, we compute the non-coherence penalty and give a more precise characterization of the sub-linear term in SNR. Finally, upper and lower bounds on the capacity of a Multiple Input Multiple Output (MIMO) channel are derived in termes of its counterpart SISO channel capacity. We show that these bounds are sufficient to characterize the MIMO channel capacity at low SNR.

Original languageEnglish (US)
Title of host publication2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2008
DOIs
StatePublished - Dec 1 2008
Event2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2008 - Poznan, Poland
Duration: Sep 15 2008Sep 18 2008

Publication series

NameIEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC

Other

Other2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2008
CountryPoland
CityPoznan
Period09/15/0809/18/08

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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