1. Multivariate denoising using wavelets and principal component analysis
- Author
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Aminghafari, Mina, Cheze, Nathalie, and Poggi, Jean-Michel
- Subjects
- *
MULTIVARIATE analysis , *WAVELETS (Mathematics) , *PRINCIPAL components analysis , *SIGNAL processing - Abstract
Abstract: A multivariate extension of the well known wavelet denoising procedure widely examined for scalar valued signals, is proposed. It combines a straightforward multivariate generalization of a classical one and principal component analysis. This new procedure exhibits promising behavior on classical bench signals and the associated estimator is found to be near minimax in the one-dimensional sense, for Besov balls. The method is finally illustrated by an application to multichannel neural recordings. [Copyright &y& Elsevier]
- Published
- 2006
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