In this proposal we wish to explore how the RF-uSR technique might be developed for measurements akin to FT-NMR. Our work will focus on the broadband excitation of paramagnetic systems where a short, intense RF pulse excites a band of frequencies centred on the RF carrier that are measured simultaneously in the free precession signal. Firstly, we plan to investigate the pulse bandwidth and signal characteristics using muonium formed in quartz as a test system. Secondly, we seek to apply the technique to make the first RF measurement of free precession signals for muoniated radicals, using norbornene as a test system.