Various embodiments of the present invention provide systems and methods for processing data. As one example, a circuit is disclosed that includes a pre-detector that detects an estimated pattern in a digital input signal, and a summation element that subtracts the estimated pattern from the digital input signal to yield a noise estimate. The circuit further includes a data dependent noise prediction filter that is adaptively tuned to detect a noise pattern, and that filters the noise estimate to provide a filtered noise estimate.