Abstract In traditional nuclear magnetic resonance T2 inversion methods, the components with long T2 absorb the components with short T2, 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 T2 components is an important T2 inversion problem. Herein, a weighted iterative inversion method for T2 spectrum in nuclear magnetic resonance is proposed to solve this problem. The weight-based method is applied to ensure that the short T2 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.

中文翻译：

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核磁共振T2谱的加权迭代反演方法

摘要 在传统的核磁共振T2反演方法中，T2长的成分吸收T2短的成分，特别是对于低磁场强度。因此，所有分量的真实分布往往不能通过它们的解来反映，因此获得短T2分量是一个重要的T2反演问题。为此，提出了一种核磁共振T2谱的加权迭代反演方法来解决这个问题。应用基于权重的方法来确保不会消除短路的 T2 分量。权重方案由两个参数决定：权重数和最大权重。权重的个数由衰减率决定，最大权重主要由三个参数决定：信噪比、曲率和采集信号的斜率。为了避免权重引起的结果突变，采用迭代过程来获得最优解。所提出的方法提供了良好的结果，并通过仿真和实验验证了它的鲁棒性和准确性。