  We consider the analytically solvable model of a Gaussian pulse tunneling
through a transmission resonance with a general Fano characteristic. It is
demonstrated that the transmitted pulse contains enough information to
determine uniquely all parameters defining the Fano resonance. This is in
contrast to the measurement of the static conductance. Our analytical model is
in agreement with numerical data published recently for the limit of a
Breit-Wigner resonance. We identify two opposite pulse propagation regimes: if
the resonance is broad compared to the energetic width of the incident Gaussian
pulse a weakly deformed and slightly delayed transmitted Gaussian pulse is
found. In the opposite limit of a narrow resonance the dying out of the
transmitted pulse is dominated by the slow exponential decay characteristic of
a quasi-bound state with a long life time. In this regime we find
characteristic interference oscillations.
