The interaction of a random-noise signal with a flowing lattice of Abrikosov vortices leads to strong modifications of the original noise spectrum. The detailed shape of the spectrum depends on the lattice-flow velocity. At low velocities of the lattice flow the spectrum is attenuated at low frequencies similarly to the case of a motionless lattice. For the velocities above the crossover velocity the spectrum magnitude oscillates with a characteristic frequency depending on the time of flight of the vortices across the strip dimension perpendicular to the direction of current flow. For sufficiently high magnetic fields the bias current determining the crossover to the oscillatory regime depends only on the temperature and film thickness.