A method for providing nonlinear self-interference cancellation of a wireless communication device includes: receiving digital samples of an interfering signal having a first sampling rate and a corrupted victim signal having a second sampling rate; generating a kernel vector based on the interfering signal, wherein the kernel vector has terms of nonlinear self-interference; estimating the nonlinear self-interference of the corrupted victim signal using the terms of the nonlinear self-interference; and providing an estimation of a desired signal by cancelling the nonlinear self-interference from the corrupted victim signal.