1. A method comprising: processing a direct baseband to RF modulated signal with a parasitic distortion correction facility that uses a model for deriving distortion correction coefficients from a complex matrix equation formed from a plurality of modulator output samples; wherein the model comprises: least squares optimizing each set of a series of limited modulator output data sample sets; updating an intermediate matrix for deriving pre-distortion coefficients with each least squares optimized set thereby facilitating optimizing pre-distorter coefficients across a quantity of modulator output samples that is larger than the limited modulator output data sample sets.