A new method is developed for analysing dispersed stress (or strain) s
ignals from a Hopkinson bar. In this method the incident signal is wri
tten as a rectangular-windowed Fourier series. It treats dispersion by
accounting for both the time of arrival of the various frequencies an
d the associated phase shifts in a dispersed signal. An analysis of a
shock wave generated by a sphere of high explosives in a water tank sh
ows that this method gives better resolved peaks than the existing FFT
method, for signals from blast waves. It also gives an indication of
when components exist in the signal that are not due to dispersive pro
pagation.