Correlation Matrices Design in the Spatial Multiplexing Systems

Sunil Chinnadurai; Poongundran Selvaprabhu; Abdul Latif Sarker

doi:doi:10.11648/j.dmath.20170201.15

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Correlation Matrices Design in the Spatial Multiplexing Systems

Sunil Chinnadurai, Poongundran Selvaprabhu, Abdul Latif Sarker

Published in International Journal of Discrete Mathematics (Volume 2, Issue 1)

Received: 13 January 2017 Accepted: 6 February 2017 Published: 24 February 2017

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Abstract

Channel correlation is closely related to the capacity of the multiple-input multiple-output (MIMO) correlated channel. Indeed, the high correlated channel degrades the system performance and the quality of wireless communication systems in terms of the capacity. Thus, we design an inverse-orthogonal matrix such as Toeplitz-Jacket matrix to design transmit and receive correlation matrices to mitigate the channel correlation of the MIMO systems. The numerical and simulation results are performed for both uncorrelated and correlated channel capacities in the case of single sided fading correlations.

Published in	International Journal of Discrete Mathematics (Volume 2, Issue 1)
DOI	10.11648/j.dmath.20170201.15
Page(s)	20-30
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Transmit and Receive Correlation Matrices, The Correlated MIMO Channel, Inverse-Orthogonal Matrices Toeplitz -Jacket Matrices, The Channel Capacity, The Spatial Correlation

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APA Style

Sunil Chinnadurai, Poongundran Selvaprabhu, Abdul Latif Sarker. (2017). Correlation Matrices Design in the Spatial Multiplexing Systems. International Journal of Discrete Mathematics, 2(1), 20-30. https://doi.org/10.11648/j.dmath.20170201.15

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ACS Style

Sunil Chinnadurai; Poongundran Selvaprabhu; Abdul Latif Sarker. Correlation Matrices Design in the Spatial Multiplexing Systems. Int. J. Discrete Math. 2017, 2(1), 20-30. doi: 10.11648/j.dmath.20170201.15

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AMA Style

Sunil Chinnadurai, Poongundran Selvaprabhu, Abdul Latif Sarker. Correlation Matrices Design in the Spatial Multiplexing Systems. Int J Discrete Math. 2017;2(1):20-30. doi: 10.11648/j.dmath.20170201.15

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@article{10.11648/j.dmath.20170201.15,
  author = {Sunil Chinnadurai and Poongundran Selvaprabhu and Abdul Latif Sarker},
  title = {Correlation Matrices Design in the Spatial Multiplexing Systems},
  journal = {International Journal of Discrete Mathematics},
  volume = {2},
  number = {1},
  pages = {20-30},
  doi = {10.11648/j.dmath.20170201.15},
  url = {https://doi.org/10.11648/j.dmath.20170201.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20170201.15},
  abstract = {Channel correlation is closely related to the capacity of the multiple-input multiple-output (MIMO) correlated channel. Indeed, the high correlated channel degrades the system performance and the quality of wireless communication systems in terms of the capacity. Thus, we design an inverse-orthogonal matrix such as Toeplitz-Jacket matrix to design transmit and receive correlation matrices to mitigate the channel correlation of the MIMO systems. The numerical and simulation results are performed for both uncorrelated and correlated channel capacities in the case of single sided fading correlations.},
 year = {2017}
}

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TY  - JOUR
T1  - Correlation Matrices Design in the Spatial Multiplexing Systems
AU  - Sunil Chinnadurai
AU  - Poongundran Selvaprabhu
AU  - Abdul Latif Sarker
Y1  - 2017/02/24
PY  - 2017
N1  - https://doi.org/10.11648/j.dmath.20170201.15
DO  - 10.11648/j.dmath.20170201.15
T2  - International Journal of Discrete Mathematics
JF  - International Journal of Discrete Mathematics
JO  - International Journal of Discrete Mathematics
SP  - 20
EP  - 30
PB  - Science Publishing Group
SN  - 2578-9252
UR  - https://doi.org/10.11648/j.dmath.20170201.15
AB  - Channel correlation is closely related to the capacity of the multiple-input multiple-output (MIMO) correlated channel. Indeed, the high correlated channel degrades the system performance and the quality of wireless communication systems in terms of the capacity. Thus, we design an inverse-orthogonal matrix such as Toeplitz-Jacket matrix to design transmit and receive correlation matrices to mitigate the channel correlation of the MIMO systems. The numerical and simulation results are performed for both uncorrelated and correlated channel capacities in the case of single sided fading correlations.
VL  - 2
IS  - 1
ER  -

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Author Information

Sunil Chinnadurai

Department of Electronics Engineering, Chonbuk National University, Jeonju, Republic of Korea
Poongundran Selvaprabhu

Department of Electronics Engineering, Chonbuk National University, Jeonju, Republic of Korea
Abdul Latif Sarker

Department of Electronics Engineering, Chonbuk National University, Jeonju, Republic of Korea

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APA Style

Sunil Chinnadurai, Poongundran Selvaprabhu, Abdul Latif Sarker. (2017). Correlation Matrices Design in the Spatial Multiplexing Systems. International Journal of Discrete Mathematics, 2(1), 20-30. https://doi.org/10.11648/j.dmath.20170201.15

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ACS Style

Sunil Chinnadurai; Poongundran Selvaprabhu; Abdul Latif Sarker. Correlation Matrices Design in the Spatial Multiplexing Systems. Int. J. Discrete Math. 2017, 2(1), 20-30. doi: 10.11648/j.dmath.20170201.15

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AMA Style

Sunil Chinnadurai, Poongundran Selvaprabhu, Abdul Latif Sarker. Correlation Matrices Design in the Spatial Multiplexing Systems. Int J Discrete Math. 2017;2(1):20-30. doi: 10.11648/j.dmath.20170201.15

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@article{10.11648/j.dmath.20170201.15,
  author = {Sunil Chinnadurai and Poongundran Selvaprabhu and Abdul Latif Sarker},
  title = {Correlation Matrices Design in the Spatial Multiplexing Systems},
  journal = {International Journal of Discrete Mathematics},
  volume = {2},
  number = {1},
  pages = {20-30},
  doi = {10.11648/j.dmath.20170201.15},
  url = {https://doi.org/10.11648/j.dmath.20170201.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20170201.15},
  abstract = {Channel correlation is closely related to the capacity of the multiple-input multiple-output (MIMO) correlated channel. Indeed, the high correlated channel degrades the system performance and the quality of wireless communication systems in terms of the capacity. Thus, we design an inverse-orthogonal matrix such as Toeplitz-Jacket matrix to design transmit and receive correlation matrices to mitigate the channel correlation of the MIMO systems. The numerical and simulation results are performed for both uncorrelated and correlated channel capacities in the case of single sided fading correlations.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Correlation Matrices Design in the Spatial Multiplexing Systems
AU  - Sunil Chinnadurai
AU  - Poongundran Selvaprabhu
AU  - Abdul Latif Sarker
Y1  - 2017/02/24
PY  - 2017
N1  - https://doi.org/10.11648/j.dmath.20170201.15
DO  - 10.11648/j.dmath.20170201.15
T2  - International Journal of Discrete Mathematics
JF  - International Journal of Discrete Mathematics
JO  - International Journal of Discrete Mathematics
SP  - 20
EP  - 30
PB  - Science Publishing Group
SN  - 2578-9252
UR  - https://doi.org/10.11648/j.dmath.20170201.15
AB  - Channel correlation is closely related to the capacity of the multiple-input multiple-output (MIMO) correlated channel. Indeed, the high correlated channel degrades the system performance and the quality of wireless communication systems in terms of the capacity. Thus, we design an inverse-orthogonal matrix such as Toeplitz-Jacket matrix to design transmit and receive correlation matrices to mitigate the channel correlation of the MIMO systems. The numerical and simulation results are performed for both uncorrelated and correlated channel capacities in the case of single sided fading correlations.
VL  - 2
IS  - 1
ER  -

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