In a magnetic resonance data acquisition method, magnetic resonance is excited (72, 74) in an observed nuclear species. Magnetic resonance data of the observed nuclear species are acquired (76). A plurality of different broadband decoupling radio frequency pulses (80) configured to decouple a coupled nuclear species from the observed nuclear species are applied. Each broadband decoupling radio frequency pulse has a different or randomized or pseudorandomized amplitude (110) as a function of time. Each broadband decoupling radio frequency pulse has about the same peak power, pulse duration, and frequency spread. The differences between the broadband decoupling radio frequency pulses are effective to substantially suppress cycling sidebands.