Fourier analysis is proposed as a tool for the recognition of non-diff
usive features of heat pulse propagation in fusion plasmas. Applicatio
n to a simulated ballistic sawtooth heat pulse shows that Fourier anal
ysis can identify the plasma region (often well beyond the mixing radi
us) where the heat pulse is diffusive. In this region the initial temp
erature perturbation, as recorded by a diagnostic with moderate (appro
ximate to 1 kHz) time resolution, is negligible. Fourier analysis of a
n example of JET sawtooth heat pulse diagnosed with the new ECE hetero
dyne diagnostic is consistent with the results from the simulated ball
istic heat pulse. It cannot, however, be used as evidence of a ballist
ic effect owing to the limited diagnostic time resolution. When both t
he perturbed (chi(e)(p)) and the power balance (chi(e)(PB)) diffusivit
y can be determined reliably in recent JET sawtoothing plasmas, their
ratio is chi(e)(p)/chi(e)(PB) approximate to 2-4 in agreement with pre
vious results.