A servo system includes a detector circuit operable to apply a data detection algorithm to digital data to yield hard decisions, a convolution circuit operable to yield ideal digital data based on the hard decisions and on target values, a subtraction circuit operable to subtract the ideal digital data from the digital data to yield an error signal, a scaling circuit operable to scale the error signal to yield a scaled noise signal, an adder operable to add the scaled noise signal to the digital data to yield noise-added digital data, and a second detector circuit operable to apply a second data detection algorithm to the noise-added digital data to yield output hard decisions.