Statistical analysis of the smallest singular value in ricean fading MIMO channels

Jin Shi; Fu Tuo; Gao Xiqi

doi:10.1109/ICCCAS.2006.284739

Statistical analysis of the smallest singular value in ricean fading MIMO channels

Jin Shi^*, Fu Tuo, Gao Xiqi

^*Corresponding author for this work

Southeast University, Nanjing

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

Using results from multivariate statistical theory, we first derive new expressions of cumulative distribution function (CDF) of the smallest singular value of Ricean fading MIMO channels with arbitrary rank channel means. Then we investigate the corresponding distributions of some special cases, such as independent and identically distributed (i.i.d.) Rayleigh fading and rank-1 Ricean fading MIMO channels. The formulas of smallest eigenvalue of probability density function (PDF) for complex Wishart matrices are also provided. These new statistical results are then applied to the performance analysis of MIMO systems. Finally, numerical results that confirm the theoretical analysis are presented.

Original language	English
Title of host publication	2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings - Communication Theory and System
Pages	640-644
Number of pages	5
DOIs	https://doi.org/10.1109/ICCCAS.2006.284739
Publication status	Published - 2006
Externally published	Yes
Event	2006 International Conference on Communications, Circuits and Systems, ICCCAS - Guilin, China Duration: 25 Jun 2006 → 28 Jun 2006

Publication series

Name	2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings
Volume	2

Conference

Conference	2006 International Conference on Communications, Circuits and Systems, ICCCAS
Country/Territory	China
City	Guilin
Period	25/06/06 → 28/06/06

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10.1109/ICCCAS.2006.284739

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Shi, J., Tuo, F., & Xiqi, G. (2006). Statistical analysis of the smallest singular value in ricean fading MIMO channels. In 2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings - Communication Theory and System (pp. 640-644). Article 4063980 (2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings; Vol. 2). https://doi.org/10.1109/ICCCAS.2006.284739

@inproceedings{1b1bb5e16ac84318a52d6e8dd5aeaa85,

title = "Statistical analysis of the smallest singular value in ricean fading MIMO channels",

abstract = "Using results from multivariate statistical theory, we first derive new expressions of cumulative distribution function (CDF) of the smallest singular value of Ricean fading MIMO channels with arbitrary rank channel means. Then we investigate the corresponding distributions of some special cases, such as independent and identically distributed (i.i.d.) Rayleigh fading and rank-1 Ricean fading MIMO channels. The formulas of smallest eigenvalue of probability density function (PDF) for complex Wishart matrices are also provided. These new statistical results are then applied to the performance analysis of MIMO systems. Finally, numerical results that confirm the theoretical analysis are presented.",

author = "Jin Shi and Fu Tuo and Gao Xiqi",

year = "2006",

doi = "10.1109/ICCCAS.2006.284739",

language = "English",

isbn = "0780395840",

series = "2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings",

pages = "640--644",

booktitle = "2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings - Communication Theory and System",

note = "2006 International Conference on Communications, Circuits and Systems, ICCCAS ; Conference date: 25-06-2006 Through 28-06-2006",

}

Shi, J, Tuo, F & Xiqi, G 2006, Statistical analysis of the smallest singular value in ricean fading MIMO channels. in 2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings - Communication Theory and System., 4063980, 2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings, vol. 2, pp. 640-644, 2006 International Conference on Communications, Circuits and Systems, ICCCAS, Guilin, China, 25/06/06. https://doi.org/10.1109/ICCCAS.2006.284739

Statistical analysis of the smallest singular value in ricean fading MIMO channels. / Shi, Jin; Tuo, Fu; Xiqi, Gao.
2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings - Communication Theory and System. 2006. p. 640-644 4063980 (2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Statistical analysis of the smallest singular value in ricean fading MIMO channels

AU - Shi, Jin

AU - Tuo, Fu

AU - Xiqi, Gao

PY - 2006

Y1 - 2006

N2 - Using results from multivariate statistical theory, we first derive new expressions of cumulative distribution function (CDF) of the smallest singular value of Ricean fading MIMO channels with arbitrary rank channel means. Then we investigate the corresponding distributions of some special cases, such as independent and identically distributed (i.i.d.) Rayleigh fading and rank-1 Ricean fading MIMO channels. The formulas of smallest eigenvalue of probability density function (PDF) for complex Wishart matrices are also provided. These new statistical results are then applied to the performance analysis of MIMO systems. Finally, numerical results that confirm the theoretical analysis are presented.

AB - Using results from multivariate statistical theory, we first derive new expressions of cumulative distribution function (CDF) of the smallest singular value of Ricean fading MIMO channels with arbitrary rank channel means. Then we investigate the corresponding distributions of some special cases, such as independent and identically distributed (i.i.d.) Rayleigh fading and rank-1 Ricean fading MIMO channels. The formulas of smallest eigenvalue of probability density function (PDF) for complex Wishart matrices are also provided. These new statistical results are then applied to the performance analysis of MIMO systems. Finally, numerical results that confirm the theoretical analysis are presented.

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U2 - 10.1109/ICCCAS.2006.284739

DO - 10.1109/ICCCAS.2006.284739

M3 - Conference contribution

AN - SCOPUS:39749085767

SN - 0780395840

SN - 9780780395848

T3 - 2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings

SP - 640

EP - 644

BT - 2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings - Communication Theory and System

T2 - 2006 International Conference on Communications, Circuits and Systems, ICCCAS

Y2 - 25 June 2006 through 28 June 2006

ER -

Shi J, Tuo F, Xiqi G. Statistical analysis of the smallest singular value in ricean fading MIMO channels. In 2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings - Communication Theory and System. 2006. p. 640-644. 4063980. (2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings). doi: 10.1109/ICCCAS.2006.284739

Statistical analysis of the smallest singular value in ricean fading MIMO channels

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