Resolution and uncertainty of Laplace inversion spectrum.
Laplace inversion has been widely used in analyzing nuclear magnetic resonance data to obtain a spectrum of decay time constant, such as the T(2) spectrum. However, due to the ill-conditioned nature of such inversion, it is difficult to determine the reliability and error of the resulting spectrum. This article describes methods used to analyze resolution and to obtain bounds of integral quantities of the spectrum.
Song
Yi-Qiao
YQ
Schlumberger-Doll Research, Ridgefield, CT 06877, USA. ysong@slb.com
D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D008433:Mathematics; D016062:Porosity; D015203:Reproducibility of Results; D013997:Time Factors; D035501:Uncertainty