Echo cancellation with transmitter-side pre-filtering

A communication transceiver, comprising:

• a front end, which is configured to exchange signals with a repeater;
• and
• a modem, which is configured to receive from the repeater a received signal, which comprises a desired signal for reception and an undesired replica of a transmitted signal that was transmitted from the transceiver and retransmitted by the repeater, to generate a local copy of the transmitted signal, to estimate a filter response that, when applied to the transmitted signal before transmission, compensates for a difference in spectral response between (i) the local copy of the transmitted signal and (ii) the undesired replica of the transmitted signal, to match the undesired replica of the transmitted signal, which is received in the received signal, with the local copy of the transmitted signal, by at least pre-filtering the transmitted signal before transmission with the estimated filter response, and to cancel an interference caused by the undesired replica to the desired signal, by combining the local copy and the received signal.