SNR Estimation in Linear Systems with Gaussian Matrices

Mohamed Abdalla Elhag Suliman; Ayed Alrashdi; Tarig Ballal; Tareq Y. Al-Naffouri

doi:10.1109/LSP.2017.2757398

SNR Estimation in Linear Systems with Gaussian Matrices

Mohamed Abdalla Elhag Suliman, Ayed Alrashdi, Tarig Ballal, Tareq Y. Al-Naffouri

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

This letter proposes a highly accurate algorithm to estimate the signal-to-noise ratio (SNR) for a linear system from a single realization of the received signal. We assume that the linear system has a Gaussian matrix with one sided left correlation. The unknown entries of the signal and the noise are assumed to be independent and identically distributed with zero mean and can be drawn from any distribution. We use the ridge regression function of this linear model in company with tools and techniques adapted from random matrix theory to achieve, in closed form, accurate estimation of the SNR without prior statistical knowledge on the signal or the noise. Simulation results show that the proposed method is very accurate.

Original language	English (US)
Pages (from-to)	1867-1871
Number of pages	5
Journal	IEEE Signal Processing Letters
Volume	24
Issue number	12
DOIs	https://doi.org/10.1109/LSP.2017.2757398
State	Published - Sep 27 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This publication is based upon work supported by the King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award No. OSR-2016-KKI-2899.

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10.1109/LSP.2017.2757398

https://repository.kaust.edu.sa/bitstream/10754/625536/1/08052123.pdf

Cite this

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title = "SNR Estimation in Linear Systems with Gaussian Matrices",

abstract = "This letter proposes a highly accurate algorithm to estimate the signal-to-noise ratio (SNR) for a linear system from a single realization of the received signal. We assume that the linear system has a Gaussian matrix with one sided left correlation. The unknown entries of the signal and the noise are assumed to be independent and identically distributed with zero mean and can be drawn from any distribution. We use the ridge regression function of this linear model in company with tools and techniques adapted from random matrix theory to achieve, in closed form, accurate estimation of the SNR without prior statistical knowledge on the signal or the noise. Simulation results show that the proposed method is very accurate.",

author = "Suliman, {Mohamed Abdalla Elhag} and Ayed Alrashdi and Tarig Ballal and Al-Naffouri, {Tareq Y.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This publication is based upon work supported by the King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award No. OSR-2016-KKI-2899.",

year = "2017",

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day = "27",

doi = "10.1109/LSP.2017.2757398",

language = "English (US)",

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T1 - SNR Estimation in Linear Systems with Gaussian Matrices

AU - Suliman, Mohamed Abdalla Elhag

AU - Alrashdi, Ayed

AU - Ballal, Tarig

AU - Al-Naffouri, Tareq Y.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This publication is based upon work supported by the King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award No. OSR-2016-KKI-2899.

PY - 2017/9/27

Y1 - 2017/9/27

N2 - This letter proposes a highly accurate algorithm to estimate the signal-to-noise ratio (SNR) for a linear system from a single realization of the received signal. We assume that the linear system has a Gaussian matrix with one sided left correlation. The unknown entries of the signal and the noise are assumed to be independent and identically distributed with zero mean and can be drawn from any distribution. We use the ridge regression function of this linear model in company with tools and techniques adapted from random matrix theory to achieve, in closed form, accurate estimation of the SNR without prior statistical knowledge on the signal or the noise. Simulation results show that the proposed method is very accurate.

AB - This letter proposes a highly accurate algorithm to estimate the signal-to-noise ratio (SNR) for a linear system from a single realization of the received signal. We assume that the linear system has a Gaussian matrix with one sided left correlation. The unknown entries of the signal and the noise are assumed to be independent and identically distributed with zero mean and can be drawn from any distribution. We use the ridge regression function of this linear model in company with tools and techniques adapted from random matrix theory to achieve, in closed form, accurate estimation of the SNR without prior statistical knowledge on the signal or the noise. Simulation results show that the proposed method is very accurate.

UR - http://hdl.handle.net/10754/625536

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DO - 10.1109/LSP.2017.2757398

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SP - 1867

EP - 1871

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

IS - 12

ER -

SNR Estimation in Linear Systems with Gaussian Matrices

Abstract

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