This disclosure provides systems, methods, and apparatus, including computer programs encoded on computer-readable media, for configuring components of transmission circuitry. In one aspect, a first set of linear kernels and a first set of nonlinear kernels associated with a composite digital pre-distortion (DPD) kernel design is determined based on a first iteration of a DPD kernel analysis process. The first set of linear kernels is separated from the first set of nonlinear kernels according to a first iteration of a linear filter separation process. A final set of linear kernels and a final set of nonlinear kernels are determined based on one or more additional iterations of the DPD kernel analysis process and the linear filter separation process. A pre-DPD filter for the transmission circuitry is configured using a final set of filter coefficients derived based on the final set of linear kernels.