Typical Pulsed Eddy Current Testing (PECT) signals, resulting from the inspection of canonical structures affected by flaw(s), consist in magnetic field variations above the conductor or in coil impedance change, both as functions of time. Calculation of specimen response to Time-Dependent (TD) excitation signals can be obtained through an inverse Fourier transform (FT) of Time-Harmonic (TH) simulated signals, weighted by the FT of the excitation signal. In this paper, an efficient strategy for simulation of PECT signals is introduced. Two adaptive algorithms, guaranteeing the accuracy of the calculations without any intervention of the user, are used to interpolate the spectral response from a database of simulated signals in harmonic regime. Then PECT simulations can be carried out quickly for many TD excitation signals. The performance of this approach is compared with standard manual choices of frequencies proposed in the literature.