A transmitter (200) comprises a first Chireix compensation circuit (230, 232, 238, 240) and a second Chireix compensation circuit (234, 236, 238, 240), wherein each Chireix compensation circuit has two inputs and two outputs. Two constant envelope input signals (22, 224) to be amplified are guided by a switch (226) to either the first or second Chireix amplifier unit. The selection as such depends on the phase (212) of the input signals to be amplified. The outputs of the two Chireix compensation circuits are cross-coupled to an inductive load (242). A Chireix inductor (238) and a Chireix capacitor (240), each having one terminal grounded, are also connected to the inductive load (242). By switching the signals to be amplified in response to their phase, optimum matching is ensured.