A digital affine transformation modulator and power amplifier drives a transmitter antenna. The modulator performs an affine transformation on a signal, wherein the I, Q space is mapped to a plurality of sectors. A signal in a sector is expressed as the sum of two vectors, the angles of which define the sector boundaries. A digital power amplifier comprises a plurality of amplifier cells, each cell comprising at least two amplifier units. For a given signal, each amplifier unit selectively amplifies a clock signal having a phase corresponding to one of the boundary angles of the signal's affine transformed sector. A subset of the plurality of amplifier cells receiving each phase clock signal are enabled, based on the magnitude of the associated vector describing the signal in affine transform space. The modulation scheme exhibits higher efficiency than quadrature modulation, without the bandwidth expansion and group delay mismatch of polar modulation.