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General Analysis of Multiuser MIMO Systems with Regularized Zero-Forcing Precoding Under Spatially Correlated Rayleigh Fading Channels

Tataria, Harsh LU ; Smith, Peter J ; Dmochowski, Pawel A and Shafi, Mansoor (2016) IEEE International Conference on Communications, 2016
Abstract
A general framework for the analysis of expected per-user signal-to-interference-plus-noise-ratio (SINR) of a multiuser multiple-input-multiple-output system is presented. Our analysis assumes spatially correlated Rayleigh fading channels with regularized zero-forcing precoding on the downlink. Unlike previous works, our analytical expressions are averaged over the eigenvalue densities of the complex Wishart distributed channel correlation matrix. To aid the derivation of the expected per-user SINR, we derive a closed-form expression for the joint density of two arbitrary eigenvalues of the complex Wishart matrix. In the high signal-to-noise-ratio (SNR) regime, with zero-forcing precoding, we derive analytical expressions to approximate... (More)
A general framework for the analysis of expected per-user signal-to-interference-plus-noise-ratio (SINR) of a multiuser multiple-input-multiple-output system is presented. Our analysis assumes spatially correlated Rayleigh fading channels with regularized zero-forcing precoding on the downlink. Unlike previous works, our analytical expressions are averaged over the eigenvalue densities of the complex Wishart distributed channel correlation matrix. To aid the derivation of the expected per-user SINR, we derive a closed-form expression for the joint density of two arbitrary eigenvalues of the complex Wishart matrix. In the high signal-to-noise-ratio (SNR) regime, with zero-forcing precoding, we derive analytical expressions to approximate the instantaneous per-user SNR and show that it is approximately gamma distributed. The generality of the approximations is validated with numerical results over a wide range of system dimensions, spatial correlation and SNR levels. (Less)
Please use this url to cite or link to this publication:
author
; ; and
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Rayleigh fading, Spatial correlation, Wishart matrix theory, Statistical analysis, Fading channels
host publication
2016 IEEE International Conference on Communications (ICC)
article number
7511078
pages
7 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
IEEE International Conference on Communications, 2016
conference location
Kuala Lumpur, Malaysia
conference dates
2016-05-23 - 2016-05-27
external identifiers
  • scopus:84981303043
ISBN
978-1-4799-6665-3
978-1-4799-6664-6
DOI
10.1109/ICC.2016.7511078
language
English
LU publication?
no
id
1dbf884d-0b21-4d33-b096-c35089652950
date added to LUP
2018-11-28 13:50:13
date last changed
2024-04-15 17:46:51
@inproceedings{1dbf884d-0b21-4d33-b096-c35089652950,
  abstract     = {{A general framework for the analysis of expected per-user signal-to-interference-plus-noise-ratio (SINR) of a multiuser multiple-input-multiple-output system is presented. Our analysis assumes spatially correlated Rayleigh fading channels with regularized zero-forcing precoding on the downlink. Unlike previous works, our analytical expressions are averaged over the eigenvalue densities of the complex Wishart distributed channel correlation matrix. To aid the derivation of the expected per-user SINR, we derive a closed-form expression for the joint density of two arbitrary eigenvalues of the complex Wishart matrix. In the high signal-to-noise-ratio (SNR) regime, with zero-forcing precoding, we derive analytical expressions to approximate the instantaneous per-user SNR and show that it is approximately gamma distributed. The generality of the approximations is validated with numerical results over a wide range of system dimensions, spatial correlation and SNR levels.}},
  author       = {{Tataria, Harsh and Smith, Peter J and Dmochowski, Pawel A and Shafi, Mansoor}},
  booktitle    = {{2016 IEEE International Conference on Communications (ICC)}},
  isbn         = {{978-1-4799-6665-3}},
  keywords     = {{Rayleigh fading; Spatial correlation; Wishart matrix theory; Statistical analysis; Fading channels}},
  language     = {{eng}},
  month        = {{05}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{General Analysis of Multiuser MIMO Systems with Regularized Zero-Forcing Precoding Under Spatially Correlated Rayleigh Fading Channels}},
  url          = {{http://dx.doi.org/10.1109/ICC.2016.7511078}},
  doi          = {{10.1109/ICC.2016.7511078}},
  year         = {{2016}},
}