Journal of Mathematical Chemistry

, Volume 20, Issue 1, pp 47–65

A system theoretic formulation of NMR experiments

  • Raimund J. Ober
  • E. Sally Ward
Article

DOI: 10.1007/BF01165155

Cite this article as:
Ober, R.J. & Ward, E.S. J Math Chem (1996) 20: 47. doi:10.1007/BF01165155

Abstract

A detailed system theoretic description is given of NMR experiments including relaxation effects. The approach is based on an exact and analytical solution to the master equation. It is shown that NMR experiments can be described in the framework of bilinear time-invariant systems. This description is used to derive closed-form expressions for the spectrum of one- and two-dimensional experiments. The simulations show that the approach accounts for the frequency dependence of a pulse, distinguishes between soft and hard pulses and also explains artifacts such as axial peaks.

Copyright information

© J. C. Baltzer AG, Science Publishers 1996

Authors and Affiliations

  • Raimund J. Ober
    • 1
  • E. Sally Ward
    • 2
  1. 1.Center for Engineering Mathematics EC35University of Texas at DallasRichardsonUSA
  2. 2.Cancer Immunobiology Center and Department of MicrobiologyUniversity of Texas Southwestern Medical CenterDallasUSA