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A schematic diagram of IST. The initial trial spectrum is the DFT of the zero-filled data. Subsequent trial spectra are computed by applying the soft thresholding operation: setting points below a threshold to zero, and subtracting the threshold from all other points. The result is inverse Fourier transformed, the “tail” is used to extend the measured data, and the augmented data is forward Fourier transformed and thresholded.
