基于差分进化算法的核磁共振T2谱多指数反演

Multi-exponential inversion of T_2 spectrum in NMR based on differential evolution algorithm

提出了一种基于差分进化(DE)算法的核磁共振弛豫信号多指数反演新方法.将核磁共振T2谱反演问题转化为带非负约束的非线性优化问题,不需要预先给定横向弛豫时间T2分布,直接利用差分进化算法进行反演计算.在测量信号低信噪比的情况下,计算机模拟和实验数据反演都表明了该方法在分析处理NMR弛豫信号中的有效性.

A new multi-exponential inversion method for NMR relaxation signals is presented and tested, which is based on differential evolution （DE） algorithm. The inversion of T2 spectrum in NMR is reduced to a non-negative constraint optimization problem, and solved directly by DE algorithm without pre-assigning the distribution of relaxation time T2 . The validity and effectiveness of our method is demonstrated by computer simulations and the inversion of practical NMR data under low SNR.