Large System Analysis of Linear Precoding in Correlated MISO Broadcast Channels Under Limited Feedback

@article{Wagner2012LargeSA,
  title={Large System Analysis of Linear Precoding in Correlated MISO Broadcast Channels Under Limited Feedback},
  author={Sebastian Wagner and Romain Couillet and M{\'e}rouane Debbah and Dirk T. M. Slock},
  journal={IEEE Transactions on Information Theory},
  year={2012},
  volume={58},
  pages={4509-4537}
}
In this paper, we study the sum rate performance of zero-forcing (ZF) and regularized ZF (RZF) precoding in large MISO broadcast systems under the assumptions of imperfect channel state information at the transmitter and per-user channel transmit correlation. Our analysis assumes that the number of transmit antennas M and the number of single-antenna users K are large while their ratio remains bounded. We derive deterministic approximations of the empirical signal-to-interference plus noise… 
Large System Analysis of Cooperative Multi-Cell Downlink Transmission via Regularized Channel Inversion with Imperfect CSIT
TLDR
This paper analyzes the ergodic sum-rate of a multi-cell downlink system with base station (BS) cooperation using regularized zero-forcing (RZF) precoding and proposes a scheme to greatly reduce the search space for optimization.
Large system analysis of zero-forcing precoding in MISO broadcast channels with limited feedback
TLDR
This paper derives a deterministic equivalent of the signal-to-interference plus noise ratio (SINR) and compute the sum rate maximizing number of users as well as the limiting sum rate for high signal- to-noise ratios (SNR), as a function of the channel errors and the channel correlation pattern.
Performance analysis in cooperative massive MIMO system with RZF precoding
TLDR
This paper investigates the performance of a cooperative massive MIMO system where the number of transmit antennas of all base stations (BSs) and theNumber of users both grow to infinity with a constant ratio and derives an optimal regularization parameter that maximizes the achievable rate.
Asymptotic Analysis of RZF Over Double Scattering Channels With MMSE Estimation
TLDR
The preliminary contribution of deriving the minimum-mean-square-error (MMSE) channel estimate for this model is made, which shows that the maximum number of users that can be supported simultaneously, while realizing large-scale MIMO gains, is equal to the number of scatterers.
Asymptotic analysis of downlink MISO systems over Rician fading channels
In this work, we focus on the ergodic sum rate in the downlink of a single-cell large-scale multi-user MIMO system in which the base station employs N antennas to communicate with K single-antenna
Large System Analysis of Linear Precoding in MISO Broadcast Channels with Confidential Messages
TLDR
A deterministic approximation for the secrecy sum-rate achievable by RCI precoding in the presence of channel state information (CSI) error is obtained and a linear precoder based on RCI and power reduction (RCI-PR) is proposed that significantly increases the high-SNR secrecysum-rate.
Asymptotic Analysis of Regularized Zero-Forcing in Double Scattering Channels
TLDR
Deterministic approximations of the signal-to-interference-plus-noise ratio (SINR) and the sum-rate with RZF precoding, which are almost surely tight in the large system limit are derived.
Deterministic Equivalent for the SINR of Regularized Zero-Forcing Precoding in Correlated MISO Broadcast Channels with Imperfect CSIT
TLDR
A deterministic equivalent of the signal-to-interference plus noise ratio (SINR) is derived by applying novel results from the field of large dimensional random matrices and the accuracy of the approximated SINR extends well into finite dimensions.
Optimal Training in Large TDD Multi-User Downlink Systems under Zero-Forcing and Regularized Zero-Forcing Precoding
TLDR
This paper derives the optimal sum rate maximizing amount of channel training using sum rate approximations from the large system analysis of MISO downlink channels under (R)ZF precoding in the regime of high signal-to-noise ratio (SNR).
Large System Analysis of Box-Relaxation in Correlated Massive MIMO Channels Under Imperfect CSI
TLDR
The asymptotic approximations of the MSE and BER enable us to derive the optimal power allocation scheme under MSE/BER minimization and show the important role of the box constraint in mitigating the so called double descent phenomenon.
...
...

References

SHOWING 1-10 OF 111 REFERENCES
Downlink Beamforming with Transmit-Side Channel Correlation: A Large System Analysis
TLDR
A large system analysis of regularized channel inversion (RCI) beamforming for MISO broadcast channels (BC) with transmit-side channel correlation with optimal regularization parameter determined.
Weighted sum rate maximization of correlated MISO broadcast channels under linear precoding: A large system analysis
  • Sebastian Wagner, D. Slock
  • Computer Science
    2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications
  • 2011
TLDR
Simulation results show that under correlated channels, the novel SINR approximation is more accurate than previously proposed estimates based on the RZF precoder.
Multiple Antenna Broadcast Channels With Shape Feedback and Limited Feedback
TLDR
This paper characterizes the sum rate performance of both zero-forcing dirty paper coding (ZFDPC) systems and channel inversion (CI) systems under the given two partial CSIT models and finds that limited feedback employing a fixed codebook leads to a sum rate ceiling for both schemes for asymptotically high SNR.
MIMO Interference Alignment Over Correlated Channels With Imperfect CSI
TLDR
This paper provides an approximate closed-form signal-to-interference-plus-noise-ratio (SINR) expression for IA over multiple-input-multiple-output (MIMO) channels with imperfect channel state information and transmit antenna correlation and shows that IA may not be optimal for some performance criteria.
Multiple antenna MMSE based downlink precoding with quantized feedback or channel mismatch
TLDR
An MMSE based precoding technique is derived that considers channel estimation errors as an integral part of the system design and significantly improves the average bit error rate (BER) in the system.
A deterministic equivalent for the capacity analysis of correlated multi-user MIMO channels
This article provides capacity expressions for multi-user and multi-cell wireless communication schemes when the transmitters and receivers are equipped with multiple antennas and when the
A Deterministic Equivalent for the Analysis of Correlated MIMO Multiple Access Channels
TLDR
Novel deterministic equivalents for the Stieltjes transform and the Shannon transform of a class of large dimensional random matrices are provided for the ergodic rate region of multiple antenna multiple access channels, when each point-to-point propagation channel is modelled according to the Kronecker model.
Capacity scaling in MIMO Wireless systems under correlated fading
TLDR
Results show that empirical capacities converge to the limit capacity predicted from the asymptotic theory even at moderate n = 16, and the assumption of separable transmit/receive correlations via simulations based on a ray-tracing propagation model is analyzed.
How Much Feedback Is Required for TDD Multi-Antenna Broadcast Channels with User Selection?
TLDR
This work studies the time-division duplex broadcast channel with initial assumption of channel state information (CSI) neither at the base station (BS) nor at the users' side, and provides two transmission strategies through which the BS and the users get necessary CSI.
On the optimality of multiantenna broadcast scheduling using zero-forcing beamforming
TLDR
It is shown that a zero-forcing beamforming (ZFBF) strategy, while generally suboptimal, can achieve the same asymptotic sum capacity as that of DPC, as the number of users goes to infinity.
...
...