Full-cycle rapid scan (RS) electron paramagnetic resonance (EPR) can be performed without the instability of prior art methods and with a higher scan rate than traditional half-scan methods. In particular, a full scan is performed, but the constant RF driving B-field can be mathematically represented as two step functions, each corresponding to one half of a full scan cycle. This mathematical representation can be carried through the deconvolution such that two deconvolutions, one for the up cycle and one for the down cycle, can be performed. The solutions to these two deconvolutions can then be summed to give a single spectrum having a higher signal-to-noise ratio than half-cycle RS scans.