System and method for reduced overhead feedback scheme for interference mitigation in cellular networks

A system and methods are provided for reducing radio interference in a cellular network comprising a plurality of Base Stations (BSs) and a plurality of User Equipment devices (UEs). The method includes receiving at a base station (BS) serving a user equipment device (UE) a feedback signal, estimated by the UE in response to a radio signal, wherein the feedback signal includes a quantized representation of a direct channel of the BS. The method further includes determining at the BS a pre-coding matrix having a smaller number of dimensions than a number of antennas of the BS and applying the pre-coding matrix to filter subsequent radio signals transmitted by the BS.