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CDC
2009
IEEE

Distributed function and time delay estimation using nonparametric techniques

8 years 7 months ago
Distributed function and time delay estimation using nonparametric techniques
In this paper we analyze the problem of estimating a function from different noisy data sets collected by spatially distributed sensors and subject to unknown temporal shifts. We propose a novel approach based on non-parametric Gaussian regression and reproducing kernel Hilbert space theory that exploit compact and accurate representations of function estimates. As a first result, suitable minimization of inner products in reproducing kernel Hilbert spaces is used to obtain a novel time delay estimation technique when attention is restricted only to two signals. Then, we derive both a centralized and a distributed maximum likelihood estimator to simultaneous identify the unknown function and delays for a generic number of networked sensors subject to a restricted communication graph. Numerical simulations are used to test the effectiveness of the proposed approaches.
Damiano Varagnolo, Gianluigi Pillonetto, Luca Sche
Added 12 Aug 2010
Updated 12 Aug 2010
Type Conference
Year 2009
Where CDC
Authors Damiano Varagnolo, Gianluigi Pillonetto, Luca Schenato
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