The transmission of data signals transmitted by a plurality of transmitters may be rendered more efficient by combining multi-user superposition coding with appropriate phase shift estimation at the receiver so that phase shift compensation at the transmitter's side may lead to a superposition of the data signals which may be demapped correctly so as to obtain information data per data signal. Owing to the combination, the concept is applicable to typical uplink situations or downlink situations of separate contributing BSs: contrary to the simple downlink situation where the data signals stem from one BS and are superimposed in one domain, namely the base station's domain, the data signals to be superimposed stem from separate transmitters, such as user entities or mobile terminals in the typical uplink situation, or different base stations in the downlink situation.