Methods, devices, and algorithms for the linearization of nonlinear time variant systems and the synchronization of a plurality of such systems

Methods, devices and algorithms for the linearization of nonlinear time variant systems and the synchronization of a plurality of such systems. An example of such a system would be a transmit path, including the power amplifier, as used in wireless transmit systems. Advances made in CMOS technology, digital to analog converter (DAC) technology make it possible to implement a substantial part of such a system in the digital domain. Another aspect is the integration of a substantial part of such a transmit system in a single integrated circuit (IC). A digital implementation that allows for linearization of a broad range of nonlinear and time variant effects. Since this digital implementations operate a high clock frequency a energy efficient implementation is essential to keep the power consumption under control. Another aspects is the reuse of methods, devices and algorithms used for the linearization a transmit system to synchronize multiple transmit systems.