We first describe the application of NUWS to enhance the resolution in indirect dimensions of multidimensional NMR experiments, through the acquisition of an exponentially increasing number of scans to counteract the relaxation of signals along the indirect acquisition time (Fig. ). We consider the application of a window function, w(t) = e Γt , to a signal with envelope s(t) = e -Rt , acquired with sampling weights, n(t) = e αΓt , where [. . .] indicates rounding to the nearest integer. These weights indicate the number of repetitions of the minimum phase cycle to be acquired at a given time point. The case α = 0 corresponds to uniform sampling (US), while α = 1 or 2 corresponds to NUWS and will be considered in more detail below. In all cases, acquired data are multiplied by an apodization function, h(t):