The digital RF transmitter includes a decoder for receiving the in phase (I) and quadrature (Q) digital baseband signals, a phase generator for generating eight waveforms at a carrier frequency where each phase is a multiple of 45 degrees, a first set of main amplifiers of fixed output power, a second set of auxiliary amplifiers of fixed output power such that the ratio of the voltage amplitudes at the outputs of the second set of auxiliary amplifiers to the voltage amplitudes at the outputs of the first set of main amplifiers is fixed at sqrt(2)−1, and a set of multiplexers for selecting one of the eight carrier waveforms, or an off signal, to transmit to each of the first set of main amplifiers and the second set of auxiliary amplifiers based on both the in phase (I) digital baseband signal and the quadrature (Q) digital baseband signal.