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

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.