NDLI: On the Low SNR Capacity of MIMO Fading Channels With Imperfect Channel State Information

Content Provider	IEEE Xplore Digital Library
Author	Benkhelifa, F. Tall, A. Rezki, Z. Alouini, M.-S.
Copyright Year	1972
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.
Starting Page	1921
Ending Page	1930
Page Count	10
File Size	1462695
File Format	PDF
ISSN	00906778
Volume Number	62
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Signal to noise ratio Channel estimation Transmitters Receivers Fading Rician channels low signal-to-noise ratio (SNR) Ergodic capacity multiple-input multiple-output (MIMO) channel state information at the transmitter (CSI-T) channel state information at the receiver (CSI-R) channel estimation Rayleigh fading channel Rician fading channel
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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