Accurate quantification of in vivo31P NMR signals using the variable projection method and prior knowledge
- 1 January 1988
- journal article
- research article
- Published by Wiley in Magnetic Resonance in Medicine
- Vol. 6 (1) , 92-98
- https://doi.org/10.1002/mrm.1910060111
Abstract
Free induction decay signals are analyzed by fitting a model function directly in the time domain. No starting values are needed for linear model parameters, and omission of corrupted data points poses no problems. A significant gain of accuracy is achieved by imposing prior knowledge about the model parameters. © 1988 Academic Press, Inc.Keywords
This publication has 5 references indexed in Scilit:
- Maximum-likelihood estimation of parameters of exponentially damped sinusoidsProceedings of the IEEE, 1985
- State-space and singular-value decomposition-based approximation methods for the harmonic retrieval problemJournal of the Optical Society of America, 1983
- Sensitive Probing of Surfaces by Electric Quadrupole Interaction Demonstrated for Indium MetalPhysical Review Letters, 1982
- Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noiseIEEE Transactions on Acoustics, Speech, and Signal Processing, 1982
- The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables SeparateSIAM Journal on Numerical Analysis, 1973