The nature and significance of time-domain approximations needed for a diakoptic solution using transmissionline modelling (TLM) are examined. Truncation, filtering and repeated convolution of time responses result in severe restrictions in the accuracy of time-domain diakoptics. The frequency-domai
In vivo NMR spectral parameter estimation: A comparison between time and frequency domain methods
✍ Scribed by M. Joliot; B. M. Mazoyer; R. H. Huesman
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 686 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0740-3194
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✦ Synopsis
Abstract
We have compared various methods of in vivo NMR spectral parameter estimation, namely a nonlinear fit of the free induction decay signal in the time domain (NLTD), a nonlinear fit of the fast Fourier transform of the FID data in the frequency domain using either a continuous Lorentzian model (NLLM) or a Fourier‐sampled model (NLFM), and a time‐domain linear prediction method using singular value decomposition (LPSVD). Monte Carlo simulations of ^31^P and ^13^C in vivo experiments were used to assess the bias and statistical uncertainties of spectral parameters obtained with each method. In the ^31^P case, all methods appear to be equivalent except the LPSVD method that led to significantly biased peak amplitudes (up to 28%). In the ^13^C case, the only methods able to recover the glycogen peak were the NLTD method and its equivalent in the frequency domain (NLFM). In both the ^31^P and the ^13^C cases simulations demonstrated that 256 data points were sufficient. These results demonstrate the feasibility and the robustness of a nonlinear fit of the FID data in the time domain, and we illustrate this on ^31^P and ^13^C data sets obtained in humans. © 1991 Academic Press. Inc.
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