On the low SNR capacity of MIMO fading channels with imperfect channel state information
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Communication Theory Lab
Permanent link to this recordhttp://hdl.handle.net/10754/563583
MetadataShow full item record
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.
CitationBenkhelifa, F., Tall, A., Rezki, Z., & Alouini, M.-S. (2014). On the Low SNR Capacity of MIMO Fading Channels With Imperfect Channel State Information. IEEE Transactions on Communications, 62(6), 1921–1930. doi:10.1109/tcomm.2014.2321375
SponsorsThis 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.
Showing items related by title, author, creator and subject.
Secure SC systems over generalized fading channels with imperfect CSI and co-channel interferenceYang, Liang; Alouini, Mohamed-Slim (2018 IEEE Wireless Communications and Networking Conference (WCNC), Institute of Electrical and Electronics Engineers (IEEE), 2018-06-11) [Conference Paper]In this paper, we consider the average secrecy capacity of a single-input multiple-output (SIMO) system with channel estimation error over generalized fading channels in the presence of co-channel interference and an eavesdropper. More specifically, we assume that selection combining is applied at both the receiver and eavesdropper. We first present statistical analysis for the signal-to-interference plus noise ratio (SINR). Then, closed-form expressions for the average secrecy capacity are derived for two special cases: Rayleigh fading and no interference. For the general case, we focus on the asymptotic secrecy capacity analysis. Finally, numerical results are provided for average secrecy capacity with with different values of N and N. Results show that the scaling law of the secrecy capacity is 1/L log (N /N).
Achievable Rates of Secure Transmission in Gaussian MISO Channel with Imperfect Main Channel EstimationZhou, Xinyu; Rezki, Zouheir; Alomair, Basel; Alouini, Mohamed-Slim (2015 IEEE Globecom Workshops (GC Wkshps), Institute of Electrical and Electronics Engineers (IEEE), 2016-02-26) [Conference Paper]A Gaussian multiple-input single-output (MISO) fading channel is considered. We assume that the transmitter, in addition to the statistics of all channel gains, is aware instantaneously of a noisy version of the channel to the legitimate receiver. On the other hand, the legitimate receiver is aware instantaneously of its channel to the transmitter, whereas the eavesdropper instantaneously knows all channel gains. We evaluate an achievable rate using a Gaussian input without indexing an auxiliary random variable. A sufficient condition for beamforming to be optimal is provided. When the number of transmit antennas is large, beamforming also turns out to be optimal. In this case, the maximum achievable rate can be expressed in a simple closed form and scales with the logarithm of the number of transmit antennas. Furthermore, in the case when a noisy estimate of the eavesdropper's channel is also available at the transmitter, we introduce the SNR difference and the SNR ratio criterions and derive the related optimal transmission strategies and the corresponding achievable rates.
On the capacity of nakagami-m fading Channels with full channel state information at low SNRRezki, Zouheir; Alouini, Mohamed-Slim (IEEE Wireless Communications Letters, Institute of Electrical and Electronics Engineers (IEEE), 2012-06) [Article]The capacity of flat Rayleigh fading channels with full channel state information (CSI) at the transmitter and at the receiver at asymptotically low SNR has been recently shown to scale essentially as SNR log(1/SNR)}. In this paper, we investigate the Nakagami-m fading channel capacity with full CSI, and show that the capacity of this channel scales essentially as m/ Omega SNR log(1/SNR), where m is the Nakagami-m fading parameter and where Ω is the channel mean-square. We also show that one-bit CSI at the transmitter is enough to achieve this asymptotic capacity using an On-Off power control scheme. Our framework may be seen as a generalization of previous works as it captures the Rayleigh fading channel as a special case by taking m=1. © 2012 IEEE.