Simplification of dynamic NMR spectroscopy by wavelet transforms.

Wavelet transforms considerably simplify the analysis of FIDs influenced by dynamic processes. The projection of data onto an orthonormal set of basis functions which represent well-defined points on a time-frequency plane allows a more natural description of time-dependent frequencies than Fourier transforms. The properties are illustrated by application to simulated NMR signals showing dynamics in the intermediate to slow exchange regime. Construction of highly sophisticated pulse sequences from wavelets is briefly discussed. This very general method will be useful in many areas of magnetic resonance, and theory may benefit as well as imaging.