2014 Volume 63 Issue 2 Pages 133-145
For an intensity estimation of a free-introduction-decay (FID) signal in NMR spectra, the Prony method and high-order Prony method based on the generation model has been proposed. By using parameters that are obtained from the generation model, the intensity can be estimated with better accuracy than other methods, such as the "Integral Method" and the "Curve-fitting Method". However, the accuracy of this method is still insufficient for the quantitative analysis of NMR spectra. We found that the accuracy of the high-order Prony method depends on the order of the generation model, and that the choice of an appropriate order realizes an accurate intensity estimation. In order to identify the appropriate order, we introduced a "selective reconstitution evaluation" (S.R.E.) into the high-order Prony method. A simulation using the extended method achieved an intensity estimation with an error below 1% in the case of a signal-to-noise ration of 100. The method was applied to an actual estimation of the intramolecular integral ratio of Acetaminophen. It was confirmed that the intensity can be estimated within an error of 1%.
