Title :
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
fDate :
June 28 2009-July 3 2009
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;
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
DOI :
10.1109/ISIT.2009.5206022
