𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Mathematical Assessment of the Precision of Parameters in Measuring Resonance Spectra

✍ Scribed by Elke M. Golding; Raymund M. Golding


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
412 KB
Volume
135
Category
Article
ISSN
1090-7807

No coin nor oath required. For personal study only.

✦ Synopsis


The accurate interpretation of in vivo magnetic resonance spectroscopy (MRS) spectra requires a complete understanding of the associated noise-induced errors. In this paper, we address the effect of complex correlated noise patterns on the measurement of a set of peak parameters. This is examined initially at the level of a single spectral analysis followed by addressing the noise-induced errors associated with determining the signal parameters from the peak parameters. We describe a relatively simple method for calculating these errors for any correlated noise pattern in terms of the noise standard deviation and correlation length. The results are presented in such a way that an estimate of the errors may be made from a single MRS spectrum. We also explore how, under certain circumstances, the lineshape of the signal may be determined. We then apply these results to reexamine a set of in vivo 31P MRS spectra obtained from rat brain prior to and following moderate fluid percussion injury. The approach outlined in this paper will demonstrate how meaningful results may be obtained from spectra where the signal-to-noise ratio (SNR) is quite small and where knowledge of the precise shape of the signal and the detail of the noise pattern is unknown. In essence, we show how to determine the expected errors in the spectral parameters from an estimate of the SNR from a single spectrum, thereby allowing a more discriminative interpretation of the data.


πŸ“œ SIMILAR VOLUMES


Peak Position Determination of X-Ray Dif
✍ Dr. S. Grosswig; Dipl.-Phys. K.-H. JΓ€ckel; Dr. R. Kittner πŸ“‚ Article πŸ“… 1986 πŸ› John Wiley and Sons 🌐 English βš– 454 KB πŸ‘ 1 views

The possibilities and limits of the polynomial approximation for an accurate determination of the peak position of X-ray diffraction profiles in precision lattice parameter measurements according to the BOND-method are investigated. The use of a polynomial approximation with reciprocal measuring val

Precision of measuring body fat distribu
✍ William H. Mueller; Wendell C. Taylor; Wenyaw Chan; Haleh Sangi-Haghpeykar; Shar πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 395 KB πŸ‘ 2 views

Precision estimates are given for anthropometric assessment of body fat distribution in participants (n = 86) of the Healthy Growth Study (total n = 154). This five year longitudinal study explored the psychosocial and biologic influences on activity levels in urban adolescent African American girls