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The advance of CMOS-based digital circuits enables new strategies for optimisation of wireless transmitters. Codesign of DSP algorithms and power amplifier characteristics can lead to improved efficiency and linearity through a variety of strategies, including: a) DSP control over bias conditions, particularly the power supply voltage; b) predistortion, in simple amplifiers, and in compound architectures such as LINC and Doherty amplifiers; and c) DSP generation of digital input signals for switching amplifiers. We envision for the future a generation of "smart power amplifiers" in which DSP optimization of amplifier parameters is carried out for changing environments.