Multidimensional Cramér-Rao lower bound for non-uniformly sampled NMR signals

摘要

In this work, we extend recent results on the Cramér-Rao lower bound for multidimensional non-uniformly sampled Nuclear Magnetic Resonance (NMR) signals. The used signal model is more general than earlier models, allowing for the typically present variance differences between the direct and the different indirect sampling dimensions. The presented bound is verified with earlier presented 1-and R-dimensional bounds as well as with the obtainable estimation accuracy using the statistically efficient non-linear least squares estimator. Finally, the usability of the presented bound is illustrated as a measure of the obtainable accuracy using three different sampling schemes for a real 15N-HSQC NMR experiment.