  Since trans-Planckian considerations can be associated with the re-definition
of the initial vacuum, we investigate further the influence of trans-Planckian
physics on the spectra produced by the initial quasi-de Sitter (dS) state
during inflation. We use the asymptotic-dS mode to study the trans-Planckian
correction of the power spectrum to the quasi-dS inflation. The obtained
spectra consist of higher order corrections associated with the type of
geometry and harmonic terms sensitive to the fluctuations of space-time (or
gravitational waves) during inflation. As an important result, the amplitude of
the power spectrum is dependent on the choice of $c$, i.e. the type of
space-time in the period of inflation. Also, the results are always valid for
any asymptotic dS space-time and particularly coincide with the conventional
results for dS and flat space-time.
