The invention refers to faster than Nyquist communication system wherein a set of symbols is conveyed from a transmitter (21) to a receiver (23), wherein the transmitter (21) and the receiver (23) are coupled by means of a transmission channel (22), comprising a precoder (210) adapted for generating a set of precoded symbols from a set of input symbols by performing a matrix operation with a precoding matrix, a pulse filter (212) adapted for generating a transmission signal to be transmitted over the transmission channel (22) as a function of the precoded symbols, a receiving filter (230) adapted for generating a set of sampled symbols as a function of the transmission signal and noise added by the transmission channel, and a decoder (232) adapted for generating a set of decoded symbols as a function of the set of sampled symbols, wherein the elements of the precoding matrix are dependent on a property of the pulse filter (212), The invention further refers to a transmitter, a receiver and corresponding methods, and to a user equipment and a base station.