A method, wireless device, and wireless communication system manage quadrature and non-linear distortions in a transmitter system (100). A transmit data signal (235) is generated from a baseband data signal (202). The transmit data signal (235) can include one or more non-linear and/or quadrature distortions. An RF receiver circuit (238) receives the transmit data signal (235). A received signal, from the RF receiver circuit (238), includes a digital representation of the received transmit data signal (235). The received signal is statistically analyzed (404). A representation of each distortion of the one or more distortions is identified in the transmit data signal (235). At least one information signal (268) including an information set of distortion adjustments is generated. Distortion of the transmit data signal (235) is adjusted (410) based on the information set to reduce the one or more distortions in the transmit data signal (235).