Istituto di Scienza e Tecnologie dell'Informazione     
Martinelli F., Sanz J. L. Sparse representatios versus the matched filter. In: SPARS'09 - Signal Processing with Adaptive Sparse Structured Representations (Saint-Malo, 06-09 aprile 2009). Proceedings, article n. 51. Rémi Gribonval (ed.). INRIA, 2009.
We have considered the problem of detection and estimation of compact sources immersed in a background plus instrumental noise. Sparse approximation to signals deals with the problem of finding a representation of a signal as a linear combination of a small number of elements from a set of signals called dictionary. The estimation of the signal leads to a minimization problem for the amplitude associated to the sources. We have developed a methodology that minimizes the lp-norm with a constraint on the goodness-of-fit and we have compared different norms against the matched filter.
URL: http://hal.inria.fr/docs/00/36/96/04/PDF/51.pdf
Subject Spare representations
Point source extraction
Matched filters
I.4.8 Scene analysis
J.2 Physical Sciences and Engineering

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