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

Harsh Tataria, Peter J. Smith, Pawel A. Dmochowski , Mansoor Shafi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

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.
Original languageEnglish
Title of host publicationIEEE International Conference on Communications (ICC 2016)
Place of PublicationKuala Lumpur, Malaysia
Pages1-7
Number of pages7
ISBN (Electronic)978-1-4799-6664-6
DOIs
Publication statusPublished - 14 Jul 2016
EventIEEE International Conference on Communications 2016 - KLCC Convention Center , Kuala Lumpur , Malaysia
Duration: 21 May 201626 May 2016
http://icc2016.ieee-icc.org/

Publication series

NameIEEE International Conference on Communications (ICC): Proceedings
ISSN (Electronic)1938-1883

Conference

ConferenceIEEE International Conference on Communications 2016
Abbreviated titleICC 2016
CountryMalaysia
CityKuala Lumpur
Period21/05/201626/05/2016
Internet address

Fingerprint

Rayleigh fading
MIMO systems
Fading channels
Signal to noise ratio

Cite this

Tataria, H., Smith, P. J., Dmochowski , P. A., & Shafi, M. (2016). General Analysis of Multiuser MIMO Systems with Regularized Zero-Forcing Precoding Under Spatially Correlated Rayleigh Fading Channels. In IEEE International Conference on Communications (ICC 2016) (pp. 1-7). (IEEE International Conference on Communications (ICC): Proceedings). Kuala Lumpur, Malaysia. https://doi.org/10.1109/ICC.2016.7511078
Tataria, Harsh ; Smith, Peter J. ; Dmochowski , Pawel A. ; Shafi, Mansoor. / General Analysis of Multiuser MIMO Systems with Regularized Zero-Forcing Precoding Under Spatially Correlated Rayleigh Fading Channels. IEEE International Conference on Communications (ICC 2016). Kuala Lumpur, Malaysia, 2016. pp. 1-7 (IEEE International Conference on Communications (ICC): Proceedings).
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title = "General Analysis of Multiuser MIMO Systems with Regularized Zero-Forcing Precoding Under Spatially Correlated Rayleigh Fading Channels",
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.",
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Tataria, H, Smith, PJ, Dmochowski , PA & Shafi, M 2016, General Analysis of Multiuser MIMO Systems with Regularized Zero-Forcing Precoding Under Spatially Correlated Rayleigh Fading Channels. in IEEE International Conference on Communications (ICC 2016). IEEE International Conference on Communications (ICC): Proceedings, Kuala Lumpur, Malaysia, pp. 1-7, IEEE International Conference on Communications 2016, Kuala Lumpur , Malaysia, 21/05/2016. https://doi.org/10.1109/ICC.2016.7511078

General Analysis of Multiuser MIMO Systems with Regularized Zero-Forcing Precoding Under Spatially Correlated Rayleigh Fading Channels. / Tataria, Harsh; Smith, Peter J. ; Dmochowski , Pawel A. ; Shafi, Mansoor.

IEEE International Conference on Communications (ICC 2016). Kuala Lumpur, Malaysia, 2016. p. 1-7 (IEEE International Conference on Communications (ICC): Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - 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.

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Tataria H, Smith PJ, Dmochowski PA, Shafi M. General Analysis of Multiuser MIMO Systems with Regularized Zero-Forcing Precoding Under Spatially Correlated Rayleigh Fading Channels. In IEEE International Conference on Communications (ICC 2016). Kuala Lumpur, Malaysia. 2016. p. 1-7. (IEEE International Conference on Communications (ICC): Proceedings). https://doi.org/10.1109/ICC.2016.7511078