Proton decoupling is a crucial step to obtain high-resolution NMR spectra of macromolecules. Current methods employ phase (or amplitude)-modulated radio-frequency pulses to this end. To be effective, the modulation has to match some resonant condition. We demonstrate in this Communication a simple approach to expand the stability of the resonant condition by convolution of the basic modulation with a Gaussian envelope. (C) 2003 Elsevier B.V. All rights reserved.