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

Handle URI:
http://hdl.handle.net/10754/564915
Title:
On the low SNR capacity of MIMO fading channels with imperfect channel state information
Authors:
Benkhelifa, Fatma; 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 our work, 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 also be extended to characterize the capacity of MIMO Rician fading channels at low SNR with possibly imperfect CSI-T and CSI-R. © 2014 IFIP.
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:
2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt)
Conference/Event name:
2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014
Issue Date:
May-2014
DOI:
10.1109/WIOPT.2014.6850313
Type:
Conference Paper
ISBN:
9783901882630
Appears in Collections:
Conference Papers; 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.accessioned2015-08-04T07:25:01Zen
dc.date.available2015-08-04T07:25:01Zen
dc.date.issued2014-05en
dc.identifier.isbn9783901882630en
dc.identifier.doi10.1109/WIOPT.2014.6850313en
dc.identifier.urihttp://hdl.handle.net/10754/564915en
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 our work, 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 also be extended to characterize the capacity of MIMO Rician fading channels at low SNR with possibly imperfect CSI-T and CSI-R. © 2014 IFIP.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectchannel estimationen
dc.subjectCSI-Ren
dc.subjectCSI-Ten
dc.subjectErgodic capacityen
dc.subjectlow SNRen
dc.subjectMIMOen
dc.subjectRayleigh fading channelen
dc.subjectRician fading channelen
dc.titleOn the low SNR capacity of MIMO fading channels with imperfect channel state informationen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentCommunication Theory Laben
dc.identifier.journal2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt)en
dc.conference.date12 May 2014 through 16 May 2014en
dc.conference.name2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014en
dc.conference.locationHammameten
dc.contributor.institutionOrange Labs, Franceen
kaust.authorBenkhelifa, Fatmaen
kaust.authorRezki, Zouheiren
kaust.authorAlouini, Mohamed-Slimen
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