Estimation of the parameters of two-dimensional NMR spectroscopy signals using an adapted subband decomposition

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