De-Pake-ing of NMR powder spectra by nonnegative least-squares analysis with Tikhonov regularization
H Schäfer, B Mädler, F Volke - Journal of Magnetic Resonance, Series A, 1995 - Elsevier
A new de-Pake-ing method is presented to calculate NMR spectra of oriented samples from
the NMR spectra of the corresponding powder samples. This task involves the numerical
solution of a Fredholm integral equation of the first kind, ie, a strongly ill-posed problem. The
Tikhonov regularization technique has been proved to be a powerful method for the
treatment of such integral equations. For the first time, this technique is applied to the de-
Pake-ing procedure. The improvement concerning stability and reliability of the new de …
the NMR spectra of the corresponding powder samples. This task involves the numerical
solution of a Fredholm integral equation of the first kind, ie, a strongly ill-posed problem. The
Tikhonov regularization technique has been proved to be a powerful method for the
treatment of such integral equations. For the first time, this technique is applied to the de-
Pake-ing procedure. The improvement concerning stability and reliability of the new de …
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