Two-dimensional Nmr Signal Analysis with an Adapted Subband Decomposition

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.