Two-dimensional NMR signal analysis with an adapted subband decomposition

El-Hadi Djermoune (1) , Gordana Kasalica (1) , David Brie (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper presents a methodology allowing to estimate the parameters of two-dimensional damped/undamped sinusoids from high complexity noisy signals, which is the case in 2-D nuclear magnetic resonance spectroscopy. The proposed approach performs an adaptive subband decomposition combined with a classical frequency estimator based on the Prony model. At each node resulting from the decomposition, a stopping rule is computed in order to decide whether the decomposition must be continued or not. The rule is a measure of flatness of residuals resulting from the estimation step. The method is demonstrated using simulated signals.

Mots clés: Magnetic resonance spectroscopy; subband decomposition; 2-D frequency estimation; subspace methods

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

El-Hadi Djermoune, Gordana Kasalica, David Brie. Two-dimensional NMR signal analysis with an adapted subband decomposition. 22nd IAR annual meeting, Nov 2007, Grenoble, France. pp.CDROM. ⟨hal-00199099⟩