Recent advances in experimental techniques have driven the development of high-frequency nanoelectronics into GHz frequencies. Here, we study the effect of high frequency, time-resolved voltage pulses applied to superconducting junctions with the aid of cutting edge numerical simulations. We show that the application of a voltage pulse to a Josephson junction produces a periodic output current that never decays, in the absence coupling to an electromagnetic environment. Additionally, we see that by applying a train of alternating voltage pulses to a normal-insulator-superconductor junction we can manipulate the (Andreev) quasi-bound states that form between the superconductor and insulator. We then use this effect to characterize the Majorana states that form when the superconductor is brought into a topologically nontrivial phase.