Application of intensity estimation method of the FID signal based on the high-order Prony estimation Method and selective evaluation criterion to Purity Estimation in quantitative NMR, dependence of the 13C decoupling and the sample spinning

The methods based on Prony Method or high-order Prony method have been proposed with regard to the intensity estimation method of the FID signal. These are methods to estimate the intensity of the FID signal from the parameter which may decide the characteristics of the signal generation model. On the other hand, these have faults to improve, though there are few subjective factors compared with the traditional “Integral Method” in estimating the intensity. This paper have point out that the estimation accuracy of traditional method based on the signal generation model depends on the model order of the signal generation model and show that it will get worse according to the choice of the model order. We will try to improve the estimation accuracy by introducing the Selective reconstitution Error method (S. E.) to the traditional method. This S. E. use, both the number of the signal peak and a priori the frequency information are remarkable factors, we can improve the estimation accuracy of the signal intensity with the method including S. E.. In the experiment with estimation of the intramolecular integral ratio of Acetaminophen, it is shown that the purity can be estimated to with the error of about 2% of the true value in the case of the “sample spinnig” is on.