Digital signals are transmitted over a communication channel having a given bandwidth, by simultaneously transmitting: one or more Spread Spectrum signals, such as, Code Division Multiple Access signals, wherein the spectrum of the Spread Spectrum signals exhibits roll-off transition bands at the boundaries of the spectrum, and one or more multi-carrier transmission signals, such as, Orthogonal Frequency Division Multiplexing signals, which are transmitted over the transition bands of the Spread Spectrum signals.