Embodiments of a method and apparatus for selecting coefficients of a non-linear filter are disclosed. The non-linear filter receives a transmit signal and generates a non-linear replica signal of a transmit DAC of a transceiver. The method include applying a plurality of periodic test pattern signals to inputs of the transmit DAC, wherein the periodic test pattern signals include a stream of symbols. Receive symbols are collected at an output of a receiver ADC of the transceiver resulting from the plurality of periodic test pattern signals. A non-linear map is generated that provides a value for each of n consecutive symbols input to the transmit DAC. Coefficients of the non-linear filter are selected based on the non-linear map.