[en] We study the process e⁺e^- → e⁺e^- missing E at a high-energy e⁺e^- collider, where the missing energy arises from the radiation of Kaluza-Klein gravitons in a model with large extra dimensions. It is shown that at a high-energy linear collider, this process cannot only confirm the signature of such theories but can also sometimes be comparable in effectiveness to the commonly discussed channel e^+- → γ missing E, especially for a large number of extra dimensions and with polarized beams. We also suggest some ways of distinguishing the signals of a graviton tower from other types of new physics signals by combining data on our suggested channel with those on the photon-graviton channel. (author)