Estimation of the distribution of randomly deployed wireless sensors

Author

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

Author_Institution

Dept. of Electr. Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia

fYear

2009

fDate

June 28 2009-July 3 2009

Firstpage

2413

Lastpage

2417

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 samples.

Keywords

matrix algebra; wireless sensor networks; asymptotic moments; data acquisition; deconvolution framework; non-uniform entries; randomly deployed wireless sensors; signal reconstruction; structured random Vandermonde matrices; Additive white noise; Deconvolution; Gaussian noise; Minerals; Petroleum; Signal reconstruction; Temperature measurement; Temperature sensors; Wireless sensor networks; Working environment noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Theory, 2009. ISIT 2009. IEEE International Symposium on

Conference_Location

Seoul

Print_ISBN

978-1-4244-4312-3

Electronic_ISBN

978-1-4244-4313-0

Type

conf

DOI

10.1109/ISIT.2009.5206022

Filename

5206022