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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 samples.
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https://hal-supelec.archives-ouvertes.fr/hal-00447065
Contributor : Samir Medina Perlaza <>
Submitted on : Tuesday, January 19, 2010 - 9:56:55 AM
Last modification on : Thursday, March 29, 2018 - 11:06:05 AM
Long-term archiving on: : Friday, June 18, 2010 - 12:53:40 AM

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  • HAL Id : hal-00447065, version 1

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Merouane Debbah, Babar Khan H., T.Y. Al-Naffouri, Ryan Oyvind. Estimation of the Distribution of Randomly Deployed Wireless Sensors. IEEE International Symposium on Information Theory, Jun 2009, South Korea. 5 p. ⟨hal-00447065⟩

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