Various embodiments of the present invention provide systems and methods for data processing system. As one example, a data processing circuit is described that includes an analog to digital converter, an online timing loop, and an offline timing loop. The analog to digital converter receives an analog input and provides a first series of data samples Each bit of the first series of data samples corresponds to the analog input at a time controlled by an updated sampling clock. The online timing loop modifies the updated sampling clock based at least in part upon a processed version of the first series of data samples. The offline timing loop interpolates a derivative of the first series of data samples to yield a second series of data samples that mimics a series of data samples corresponding to the analog input that were sampled using a free running clock. The second series of data samples is interpolated to adjust each bit in accordance with an average frequency offset exhibited across the second series of data samples