Intensity estimation method of the FID signal based on the high-order Prony Method including evaluation used to the priori information in quantitative NMR

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Abstract
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 are some rests to improve their faults still more, though they have relatively less subjectivity factors compared with the traditional “Integral Method” in estimating the intensity. This paper have pointed out that the estimation accuracy of traditional method based on the signal generation model depends on the system order of the signal generation model and that it will get worse according to the choice of the system order, following that, 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 intensity can be estimated to with the error of about 1% of the true value.

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