Estimation of the distribution of randomly deployed wireless sensors

Babar H. Khan; Mérouane Debbah; Øyvind Ryan; Tareq Y. Ai-Naffouri

doi:10.1109/ISIT.2009.5206022

Estimation of the distribution of randomly deployed wireless sensors

Babar H. Khan, Mérouane Debbah, Øyvind Ryan, Tareq Y. Ai-Naffouri

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

Abstract

The distribution of randomly deployed wireless sensors plays an important role in the quality of the methods used for data acquisition and signal reconstruction. Mathematically speaking, the estimation of the distribution of randomly deployed sensors can be related to computing the spectrum of Vandermonde matrices with non-uniform entries. In this paper, we use the recent free deconvolution framework to recover, in noisy environments, the asymptotic moments of the structured random Vandermonde matrices and relate these moments to the distribution of the randomly deployed sensors. Remarkably, the results are valid in the finite case using only a limited number of sensors and sam pies.

Original language	English (US)
Title of host publication	2009 IEEE International Symposium on Information Theory, ISIT 2009
Pages	2413-2417
Number of pages	5
DOIs	https://doi.org/10.1109/ISIT.2009.5206022
State	Published - 2009
Externally published	Yes
Event	2009 IEEE International Symposium on Information Theory, ISIT 2009 - Seoul, Korea, Republic of Duration: Jun 28 2009 → Jul 3 2009

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
ISSN (Print)	2157-8102

Other

Other	2009 IEEE International Symposium on Information Theory, ISIT 2009
Country/Territory	Korea, Republic of
City	Seoul
Period	06/28/09 → 07/3/09

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Modeling and Simulation
Applied Mathematics

Access to Document

10.1109/ISIT.2009.5206022

Cite this

@inproceedings{a9a92e83cb7b430ab3bad05c1aa12dd5,

title = "Estimation of the distribution of randomly deployed wireless sensors",

abstract = "The distribution of randomly deployed wireless sensors plays an important role in the quality of the methods used for data acquisition and signal reconstruction. Mathematically speaking, the estimation of the distribution of randomly deployed sensors can be related to computing the spectrum of Vandermonde matrices with non-uniform entries. In this paper, we use the recent free deconvolution framework to recover, in noisy environments, the asymptotic moments of the structured random Vandermonde matrices and relate these moments to the distribution of the randomly deployed sensors. Remarkably, the results are valid in the finite case using only a limited number of sensors and sam pies.",

author = "Khan, {Babar H.} and M{\'e}rouane Debbah and {\O}yvind Ryan and Ai-Naffouri, {Tareq Y.}",

year = "2009",

doi = "10.1109/ISIT.2009.5206022",

language = "English (US)",

isbn = "9781424443130",

series = "IEEE International Symposium on Information Theory - Proceedings",

pages = "2413--2417",

booktitle = "2009 IEEE International Symposium on Information Theory, ISIT 2009",

note = "2009 IEEE International Symposium on Information Theory, ISIT 2009 ; Conference date: 28-06-2009 Through 03-07-2009",

}

Khan, BH, Debbah, M, Ryan, Ø & Ai-Naffouri, TY 2009, Estimation of the distribution of randomly deployed wireless sensors. in 2009 IEEE International Symposium on Information Theory, ISIT 2009., 5206022, IEEE International Symposium on Information Theory - Proceedings, pp. 2413-2417, 2009 IEEE International Symposium on Information Theory, ISIT 2009, Seoul, Korea, Republic of, 06/28/09. https://doi.org/10.1109/ISIT.2009.5206022

Estimation of the distribution of randomly deployed wireless sensors. / Khan, Babar H.; Debbah, Mérouane; Ryan, Øyvind et al.
2009 IEEE International Symposium on Information Theory, ISIT 2009. 2009. p. 2413-2417 5206022 (IEEE International Symposium on Information Theory - Proceedings).

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

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N2 - The distribution of randomly deployed wireless sensors plays an important role in the quality of the methods used for data acquisition and signal reconstruction. Mathematically speaking, the estimation of the distribution of randomly deployed sensors can be related to computing the spectrum of Vandermonde matrices with non-uniform entries. In this paper, we use the recent free deconvolution framework to recover, in noisy environments, the asymptotic moments of the structured random Vandermonde matrices and relate these moments to the distribution of the randomly deployed sensors. Remarkably, the results are valid in the finite case using only a limited number of sensors and sam pies.

AB - The distribution of randomly deployed wireless sensors plays an important role in the quality of the methods used for data acquisition and signal reconstruction. Mathematically speaking, the estimation of the distribution of randomly deployed sensors can be related to computing the spectrum of Vandermonde matrices with non-uniform entries. In this paper, we use the recent free deconvolution framework to recover, in noisy environments, the asymptotic moments of the structured random Vandermonde matrices and relate these moments to the distribution of the randomly deployed sensors. Remarkably, the results are valid in the finite case using only a limited number of sensors and sam pies.

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Estimation of the distribution of randomly deployed wireless sensors

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