Exact closed-form expression for the inverse moments of one-sided correlated Gram matrices

Khalil Elkhalil; Abla Kammoun; Tareq Y. Al-Naffouri; Mohamed-Slim Alouini

doi:10.1109/ISIT.2016.7541684

Exact closed-form expression for the inverse moments of one-sided correlated Gram matrices

Khalil Elkhalil, Abla Kammoun, Tareq Y. Al-Naffouri, Mohamed-Slim Alouini

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

Abstract

In this paper, we derive a closed-form expression for the inverse moments of one sided-correlated random Gram matrices. Such a question is mainly motivated by applications in signal processing and wireless communications for which evaluating this quantity is a question of major interest. This is for instance the case of the best linear unbiased estimator, in which the average estimation error corresponds to the first inverse moment of a random Gram matrix.

Original language	English (US)
Title of host publication	2016 IEEE International Symposium on Information Theory (ISIT)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	2174-2178
Number of pages	5
ISBN (Print)	9781509018062
DOIs	https://doi.org/10.1109/ISIT.2016.7541684
State	Published - Aug 15 2016

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): ORS#2221
Acknowledgements: This work was funded by a CRG3 grant ORS#2221 from the Office of Competitive Research (OCRF) at King Abdullah University of Science and Technology (KAUST).

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10.1109/ISIT.2016.7541684

Cite this

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title = "Exact closed-form expression for the inverse moments of one-sided correlated Gram matrices",

abstract = "In this paper, we derive a closed-form expression for the inverse moments of one sided-correlated random Gram matrices. Such a question is mainly motivated by applications in signal processing and wireless communications for which evaluating this quantity is a question of major interest. This is for instance the case of the best linear unbiased estimator, in which the average estimation error corresponds to the first inverse moment of a random Gram matrix.",

author = "Khalil Elkhalil and Abla Kammoun and Al-Naffouri, {Tareq Y.} and Mohamed-Slim Alouini",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): ORS#2221 Acknowledgements: This work was funded by a CRG3 grant ORS#2221 from the Office of Competitive Research (OCRF) at King Abdullah University of Science and Technology (KAUST).",

year = "2016",

month = aug,

day = "15",

doi = "10.1109/ISIT.2016.7541684",

language = "English (US)",

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pages = "2174--2178",

booktitle = "2016 IEEE International Symposium on Information Theory (ISIT)",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

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Exact closed-form expression for the inverse moments of one-sided correlated Gram matrices. / Elkhalil, Khalil; Kammoun, Abla ; Al-Naffouri, Tareq Y. et al.
2016 IEEE International Symposium on Information Theory (ISIT). Institute of Electrical and Electronics Engineers (IEEE), 2016. p. 2174-2178.

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

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AU - Alouini, Mohamed-Slim

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): ORS#2221 Acknowledgements: This work was funded by a CRG3 grant ORS#2221 from the Office of Competitive Research (OCRF) at King Abdullah University of Science and Technology (KAUST).

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N2 - In this paper, we derive a closed-form expression for the inverse moments of one sided-correlated random Gram matrices. Such a question is mainly motivated by applications in signal processing and wireless communications for which evaluating this quantity is a question of major interest. This is for instance the case of the best linear unbiased estimator, in which the average estimation error corresponds to the first inverse moment of a random Gram matrix.

AB - In this paper, we derive a closed-form expression for the inverse moments of one sided-correlated random Gram matrices. Such a question is mainly motivated by applications in signal processing and wireless communications for which evaluating this quantity is a question of major interest. This is for instance the case of the best linear unbiased estimator, in which the average estimation error corresponds to the first inverse moment of a random Gram matrix.

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BT - 2016 IEEE International Symposium on Information Theory (ISIT)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

Exact closed-form expression for the inverse moments of one-sided correlated Gram matrices

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