A nonlinear microwave signal processor based on the parametric interaction of a microwave magnetostatic wave, propagating in an yttrium-iron garnet (YIG) film waveguide, with a non-stationary (pulsed) electromagnetic pumping is proposed and practically realized. The proposed processor amplifies input pulsed microwave signals by up to 30 dB, performs operations of phase conjugation, time profile inversion, and controlled time delay of up to 1 µs. .