The problem of the simultaneous determination of the sounding signal form and wave propagation velocity in a vertically-inhomogeneous medium is considered in the paper.

It should be noted that usually the form of the sounding signal is either unknown or given only approximately, although its accurate estimate is necessary for the practical solution of many inverse problems.

We propose an interactive numerical algorithm enabling simultaneous determination of the wave propagation velocity and the sounding signal form in a vertically-inhomogeneous medium. This algorithm is based on the optimization approach, i.e., on minimization of the data misfit functional of observed and calculated data.

Results of numerical experiments are given to illustrate the efficiency of the method.