Embodiments of wireless devices and transmitters are provided, which perform embodiments of automatic gain control methods. The embodiments of wireless devices and transmitters include a ramp generator, a digital gain signal generator, a combiner, and a variable gain amplifier. The ramp generator is adapted to receive a gain control input signal and to generate a gain ramp signal based on the gain control input signal. The digital gain signal generator is adapted to generate and incorporate a gain arc into a digital gain signal. A combiner is adapted to receive and combine a digital input signal with the digital gain signal, to generate a pre-compensated digital signal. The variable gain amplifier is adapted to apply gains indicated in the gain ramp signal to a pre-adjusted analog signal, which is generated based on the pre-compensated digital signal, in order to generate a gain-adjusted analog signal.