On the low SNR capacity of MIMO fading channels with imperfect channel state information

Handle URI:
http://hdl.handle.net/10754/563583
Title:
On the low SNR capacity of MIMO fading channels with imperfect channel state information
Authors:
Benkhelifa, Fatma ( 0000-0003-1820-4207 ) ; Tall, Abdoulaye; Rezki, Zouheir; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
The capacity of multiple-input multiple-output (MIMO) Rayleigh fading channels with full knowledge of channel state information (CSI) at both the transmitter and the receiver (CSI-TR) has been shown recently to scale at low signal-to-noise ratio (SNR) essentially as SNR log(1/SNR), independently of the number of transmit and receive antennas. In this paper, we investigate the ergodic capacity of MIMO Rayleigh fading channel with estimated channel state information at the transmitter (CSI-T) and possibly imperfect channel state information at the receiver (CSI-R). Our framework can be seen as a generalization of previous works as it can capture the perfect CSI-TR as a special case when the estimation error variance goes to zero. In this paper, we mainly focus on the low SNR regime, and we show that the capacity scales as (1-α) SNR log(1/SNR), where α is the estimation error variance. This characterization shows the loss of performance due to error estimation over the perfect channel state information at both the transmitter and the receiver. As a by-product of our new analysis, we show that our framework can be also extended to characterize the capacity of MIMO Rician fading channels at low SNR with possibly imperfect CSI-T and CSI-R. © 1972-2012 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program; Communication Theory Lab
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Communications
Issue Date:
Jun-2014
DOI:
10.1109/TCOMM.2014.2321375
Type:
Article
ISSN:
00906778
Sponsors:
This paper was funded by a grant from the office of competitive research funding of KAUST, Saudi Arabia. The associate editor coordinating the review of this paper and approving it for publication was T. Q. S. Quek.
Appears in Collections:
Articles; Electrical Engineering Program; Communication Theory Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorBenkhelifa, Fatmaen
dc.contributor.authorTall, Abdoulayeen
dc.contributor.authorRezki, Zouheiren
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2015-08-03T11:55:00Zen
dc.date.available2015-08-03T11:55:00Zen
dc.date.issued2014-06en
dc.identifier.issn00906778en
dc.identifier.doi10.1109/TCOMM.2014.2321375en
dc.identifier.urihttp://hdl.handle.net/10754/563583en
dc.description.abstractThe capacity of multiple-input multiple-output (MIMO) Rayleigh fading channels with full knowledge of channel state information (CSI) at both the transmitter and the receiver (CSI-TR) has been shown recently to scale at low signal-to-noise ratio (SNR) essentially as SNR log(1/SNR), independently of the number of transmit and receive antennas. In this paper, we investigate the ergodic capacity of MIMO Rayleigh fading channel with estimated channel state information at the transmitter (CSI-T) and possibly imperfect channel state information at the receiver (CSI-R). Our framework can be seen as a generalization of previous works as it can capture the perfect CSI-TR as a special case when the estimation error variance goes to zero. In this paper, we mainly focus on the low SNR regime, and we show that the capacity scales as (1-α) SNR log(1/SNR), where α is the estimation error variance. This characterization shows the loss of performance due to error estimation over the perfect channel state information at both the transmitter and the receiver. As a by-product of our new analysis, we show that our framework can be also extended to characterize the capacity of MIMO Rician fading channels at low SNR with possibly imperfect CSI-T and CSI-R. © 1972-2012 IEEE.en
dc.description.sponsorshipThis paper was funded by a grant from the office of competitive research funding of KAUST, Saudi Arabia. The associate editor coordinating the review of this paper and approving it for publication was T. Q. S. Quek.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectChannel estimationen
dc.subjectChannel state information at the receiver (CSI-R)en
dc.subjectChannel state information at the transmitter (CSI-T)en
dc.subjectErgodic capacityen
dc.subjectLow signal-to-noise ratio (SNR)en
dc.subjectMultiple-input multiple-output (MIMO)en
dc.subjectRayleigh fading channelen
dc.subjectRician fading channelen
dc.titleOn the low SNR capacity of MIMO fading channels with imperfect channel state informationen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentCommunication Theory Laben
dc.identifier.journalIEEE Transactions on Communicationsen
dc.contributor.institutionOrange Labs, 92794 Issy-les-Moulineaux, Franceen
kaust.authorBenkhelifa, Fatmaen
kaust.authorRezki, Zouheiren
kaust.authorAlouini, Mohamed-Slimen
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