  The phantom inflation predicts a slightly blue spectrum of tensor
perturbation, which might be tested in coming observations. In normal inflation
models, the introduction of step in its potential generally results in an
oscillation in the primordial power spectrum of curvature perturbation. We will
check whether there is a similar case in the phantom inflation with steplike
potential. We find that for same potentials, the oscillation of the spectrum of
phantom inflation is nearly same with that of normal inflation, the difference
between them is the tilt of power spectrum.
