Outage probability approximation for the Wiener filter SINR in MIMO systems

Abla Kammoun; Malika Kharouf; Walid Hachem; Jamal Najim

doi:10.1109/SPAWC.2008.4641592

Outage probability approximation for the Wiener filter SINR in MIMO systems

Abla Kammoun^*, Malika Kharouf, Walid Hachem, Jamal Najim

^*Corresponding author for this work

Research output: Contribution to conference › Paper › peer-review

1 Scopus citations

Abstract

This paper studies the fluctuations of the post-processing SNR at the output of the linear MMSE receiver in (receive) correlated multiple input multiple output (MIMO) systems. Although it is known that asymptotically, the SNR behaves like a Gaussian random variable, this approximation may yield to inaccurate estimates for small dimension. In order to circumvent this, we use Gamma and Generalized Gamma distributions to approximate the probability distribution of the SINR. The first three asymptotic moments of the SNR are computed and are used to adjust Gamma and Generalized Gamma distributions and to accurately approximate the Bit Error Rate (BER) and its outage probability. We provide simulations which strongly support the Gamma approximation, even for a small number of emitting/receive antennas.

Original language	English (US)
Pages	171-175
Number of pages	5
DOIs	https://doi.org/10.1109/SPAWC.2008.4641592
State	Published - 2008
Externally published	Yes
Event	2008 IEEE 9th Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2008 - Recife, Brazil Duration: Jul 6 2008 → Jul 9 2008

Other

Other	2008 IEEE 9th Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2008
Country/Territory	Brazil
City	Recife
Period	07/6/08 → 07/9/08

Keywords

Bit error rate
Large random matrices
MIMO systems
Outage probability

ASJC Scopus subject areas

Electrical and Electronic Engineering
Computer Science Applications
Information Systems

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10.1109/SPAWC.2008.4641592

Cite this

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title = "Outage probability approximation for the Wiener filter SINR in MIMO systems",

abstract = "This paper studies the fluctuations of the post-processing SNR at the output of the linear MMSE receiver in (receive) correlated multiple input multiple output (MIMO) systems. Although it is known that asymptotically, the SNR behaves like a Gaussian random variable, this approximation may yield to inaccurate estimates for small dimension. In order to circumvent this, we use Gamma and Generalized Gamma distributions to approximate the probability distribution of the SINR. The first three asymptotic moments of the SNR are computed and are used to adjust Gamma and Generalized Gamma distributions and to accurately approximate the Bit Error Rate (BER) and its outage probability. We provide simulations which strongly support the Gamma approximation, even for a small number of emitting/receive antennas.",

keywords = "Bit error rate, Large random matrices, MIMO systems, Outage probability",

author = "Abla Kammoun and Malika Kharouf and Walid Hachem and Jamal Najim",

year = "2008",

doi = "10.1109/SPAWC.2008.4641592",

language = "English (US)",

pages = "171--175",

note = "2008 IEEE 9th Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2008 ; Conference date: 06-07-2008 Through 09-07-2008",

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T1 - Outage probability approximation for the Wiener filter SINR in MIMO systems

AU - Kammoun, Abla

AU - Kharouf, Malika

AU - Hachem, Walid

AU - Najim, Jamal

PY - 2008

Y1 - 2008

N2 - This paper studies the fluctuations of the post-processing SNR at the output of the linear MMSE receiver in (receive) correlated multiple input multiple output (MIMO) systems. Although it is known that asymptotically, the SNR behaves like a Gaussian random variable, this approximation may yield to inaccurate estimates for small dimension. In order to circumvent this, we use Gamma and Generalized Gamma distributions to approximate the probability distribution of the SINR. The first three asymptotic moments of the SNR are computed and are used to adjust Gamma and Generalized Gamma distributions and to accurately approximate the Bit Error Rate (BER) and its outage probability. We provide simulations which strongly support the Gamma approximation, even for a small number of emitting/receive antennas.

AB - This paper studies the fluctuations of the post-processing SNR at the output of the linear MMSE receiver in (receive) correlated multiple input multiple output (MIMO) systems. Although it is known that asymptotically, the SNR behaves like a Gaussian random variable, this approximation may yield to inaccurate estimates for small dimension. In order to circumvent this, we use Gamma and Generalized Gamma distributions to approximate the probability distribution of the SINR. The first three asymptotic moments of the SNR are computed and are used to adjust Gamma and Generalized Gamma distributions and to accurately approximate the Bit Error Rate (BER) and its outage probability. We provide simulations which strongly support the Gamma approximation, even for a small number of emitting/receive antennas.

KW - Bit error rate

KW - Large random matrices

KW - MIMO systems

KW - Outage probability

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DO - 10.1109/SPAWC.2008.4641592

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SP - 171

EP - 175

T2 - 2008 IEEE 9th Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2008

Y2 - 6 July 2008 through 9 July 2008

ER -

Outage probability approximation for the Wiener filter SINR in MIMO systems

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Keywords

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