Weighted iterative inversion method for T2 spectrum in nuclear magnetic resonance

In traditional nuclear magnetic resonance T-2 inversion methods, the components with long T-2 absorb the components with short T-2, especially for low magnetic field intensity. As a result, the true distribution of all components often cannot be reflected by their solutions, and thus obtaining short T-2 components is an important T-2 inversion problem. Herein, a weighted iterative inversion method for T-2 spectrum in nuclear magnetic resonance is proposed to solve this problem. The weight-based method is applied to ensure that the short T-2 components are not eliminated. The weight scheme is determined by two parameters: the number of weights and maximum weight. The number of weights is determined by the rate of decay, and the maximum weight is mainly determined by three parameters: signal-noise ratio, curvature, and slope of collected signal. To avoid the mutations of results caused by weights, the iteration process was adopted to obtain the optimal solution. The proposed method provides good results, and it was verified to be robust and accurate though simulations and experiments.