Capacity maximization in eigen-MIMO with channel estimation and CSI feedback-link throughput constraint

Banani, S. Alireza; Vaughan, Rodney G.

doi:10.1002/wcm.2297

Cited by 3 publications

(3 citation statements)

References 25 publications

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“…However, CSI-R is possibly assumed to be perfect or imperfect. The case when CSI-T is imperfect and CSI-R is perfect (Case I) can be associated to the practical scenario when we have perfect channel estimation at the receiver and a noisy channel feedback between the receiver and the transmitter [20] . The noisy feedback channel is basically the cause of the mismatch between the estimated channel at the receiver and the trans mitter.…”

Section: Low Snr Capacity Of Mimo Rayleigh Fa Ding Channelmentioning

confidence: 99%

“…This case also can be justified by the fact that the true channel evolves over time by the addition of an independent matrix with C(O, 1) entries where a is a forgetting factor which describes the rate of evolution of the channel matrix. However, the case when CSI-T and CSI-R are both imperfect (Case II) can be associated to the practical scenario when the channel estimation at the receiver is not perfect, while the feedback channel is perfect and instantaneous [4] , [20] , We suppose that the channel matrix H in both cases can be expressed as [4] , [20] H = �II + yaH, (5) where H is the channel matrix described in (1), II is the estimate of H where the entries are assumed to be CN(O, 1), H is the error matrix independent of II where the entries are assumed to be CN(O, 1), and a E [0, 1] is the estimation error variance due to the noisy feedback channel (Case I) or the channel estimation at the receiver (Case II). Note that in Case II, we consider the case when we have the same channel estimate at the transmitter and the receiver.…”

Section: Low Snr Capacity Of Mimo Rayleigh Fa Ding Channelmentioning

confidence: 99%

“…Maximizing both sides of (19) over all conditional inputs p(xI H ), we can see that the first term on the right hand side of the (19) corresponds to the capacity where the transmitter perfectly knows the channel matrix iI (perfect CSI-TR) and is given in a similar way as in (20). However, the second term on the right hand side corresponds to the capacity where the transmitter and the receiver have absolutely no knowledge about iI (no CSI TR).…”

Section: Appendixmentioning

confidence: 99%

See 2 more Smart Citations

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

Benkhelifa

Tall

Rezki

et al. 2014

2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt)

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1 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(l/SNR), independently of the number of transmit and receive antennas. In this paper, we investigate the ergodic capacity of MIMO Rayleigh fading chan nel 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 (I -a) SNR log(I /SNR), where a 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.

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Section: Low Snr Capacity Of Mimo Rayleigh Fa Ding Channelmentioning

confidence: 99%