Wireless repeater using cross-polarized signals to reduce feedback in an FDD wireless network

A repeater for re-transmitting signals between first and second wireless devices. The repeater comprises a first antenna array for receiving a forward channel signal transmitted from the first wireless device and a second antenna array for receiving a reverse channel signal transmitted from the second wireless device. The repeater also comprises a first transceiver chain for down-converting the received forward channel signal, processing the down-converted forward channel signal, and up-converting the processed forward channel signal to thereby produce an outgoing forward channel signal. The repeater also comprises a second transceiver chain for down-converting the received reverse channel signal, processing the down-converted reverse channel signal, and up-converting the processed reverse channel signal to thereby produce an outgoing reverse channel signal. The first antenna array comprises a first antenna element and the second antenna array comprises a second antenna element that is cross-polarized with respect to the first antenna element.