A calibration system for calibrating a linearity corrector using the sum of filter products is proved, along with a method of calibrating the linearity corrector. The calibration system includes a first and second signal generator for introducing test signals into a signal processing system, such as an ADC. An acquisition memory and processor are provided for acquiring and analyzing the output of the signal processing system and then programming the filter coefficients into the linearity corrector. The method of calibration analyzes acquired intermodulation and harmonic components from the signal processing system and then finds the amplitude and phase response for the filters. The amplitude and phase response is then used to determine a set of filter coefficients.