  We study a simple modification to the conventional time of flight mass
spectrometry (TOFMS) where a \emph{variable} and (pseudo)-\emph{random} pulsing
rate is used which allows for traces from different pulses to overlap. This
modification requires little alteration to the currently employed hardware.
However, it requires a reconstruction method to recover the spectrum from
highly aliased traces. We propose and demonstrate an efficient algorithm that
can process massive TOFMS data using computational resources that can be
considered modest with today's standards. This approach can be used to improve
duty cycle, speed, and mass resolving power of TOFMS at the same time. We
expect this to extend the applicability of TOFMS to new domains.
