| NMR求解多孔固体孔径分布的逐步回归方法 |
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| 引用本文： | 刘涛,李志娟.NMR求解多孔固体孔径分布的逐步回归方法[J].北京科技大学学报,1994,16(6):586-591. |
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| 作者姓名： | 刘涛 李志娟 |
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| 作者单位： | 北京科技大学材料物理系，天津大学物理系 |
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| 摘 要： | 探讨了用ＮＭＲ方法解多孔固体孔径分布中有关病态积分方程的求解问题，借助于数理统计中的逐步回归分析，加入非负限制，给出了一个新的求解方法，这种方法数值上很稳定，计算量小，可以给出较为连续的ｆ（Ｔ１）分布曲线，并采用岭回归和Ｈｅｓｓｅ光滑方法抑制噪声的影响，从所给出的计算实例看出，这种方法有一定的优越性。
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| 关 键 词： | NMR 病态方程 孔径 逐步回归法 |
NMR Technique for the Analysis of Pore Distribution in Porous Solid:The Stepwise Regression Method |
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| Liu Tao,Xu Zuxiong,Ma Ruzhang,Li Zhijuan.NMR Technique for the Analysis of Pore Distribution in Porous Solid:The Stepwise Regression Method[J].Journal of University of Science and Technology Beijing,1994,16(6):586-591. |
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| Authors: | Liu Tao Xu Zuxiong Ma Ruzhang Li Zhijuan |
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| Abstract: | In view of the multivariate regression analysis,astepwise regression analysis method with non-negative constraint to solve the ill-posed integral equation is proposed,which is required in NMR technique for the analysis of pore structure.This method is numerically stable,easy to implement with less calculations,and a more continuous distribution f(T1) can be obtained.Two ways to reduce the effect of noise are suggested:Marquardt method and the smooth approach proposed by Hesse.From the results of the computed examples this method works quite well. |
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| Keywords: | stepwise regressions nuclear magnetic resonance/ill-conditioned equation |
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