A polynomial nonlinear term generator is configured to receive an RF signal. An analog cubic term generator generates an analog cubic term signal and an analog square term generator generates an analog square term signal, both derived from the RF signal. A cubic term mixer assembly mixes a local oscillator (LO) signal with the cubic term signal to generate a synthetic IM3 signal. A square term ADC provides a digital square term signal and a cubic term ADC provides a digital cubic term signal. At least one digital multiplier has a first multiplier input terminal configured to receive a selected one of the digital square term signal and the digital cubic term signal, and a second multiplier input terminal configured to receive the digital square term signal. The multiplier provides as output a digital IMn product where n is greater than 3. A corresponding method is also described.