The method of phase modulating a carrier wave involves creating a set of signals sh(t) constituted by a carrier wave of frequency fC and of phase φ(t)=hφ0(t) that is modulated in time t in such a manner that sh(t)=cos(2πfCt+hφ0(t)), where h is an integer and where φ0(t)=2 arctan((t−t0)/w0). The modulation corresponds to a single phase pulse centered on a time t0 of characteristic duration w0 that is positive, and incrementing the phase of the signal sh(t) by the quantity h2π, in such a manner as to generate a single sideband frequency spectrum directly. The carrier wave may be of electromagnetic type or of acoustic type. The method applies in particular to transporting binary information by single sideband phase coding, to generating single sideband orthogonal signals, to detecting single sideband phase coded multiple-level digital signals, to transmitting single sideband phase coded binary signals in-phase and out-of-phase, and to single sideband combined amplitude-and-phase modulation.