Real-Time Data Inversion Methods for Low-Field Nuclear Magnetic Resonance (NMR)

Abstract

Multidimensional inverse Laplace transforms (ILTs) are of importance for obtaining sample properties from nuclear magnetic resonance (NMR) relaxation and diffusion measurements. This paper describes computationally-efficient implementations of the one-dimensional ILT on embedded processors that enable adaptive “smart” data acquisition approaches for portable low-field NMR devices. Experimental results from a low-cost NMR device based on an Altera system-on-chip Soc that integrates an embedded ARM core with an FPGA fabric are also presented.