We demonstrate how Bragg diffraction of atomic matter waves at a time-
modulated thick standing light wave can be used to coherently shift th
e de Broglie frequency of the diffracted atoms. The coherent frequency
shift is experimentally confirmed by interferometric superposition of
modulated and unmodulated atoms resulting in time-dependent interfere
nce fringes. Our frequency shifter for atomic matter waves is a genera
lization of an acousto-optic frequency shifter for photons.