Systems, methods, and computer readable media are described for effectively using dither techniques upon signals having a predicted quantization error that varies across the range of the signal. In some embodiments, predicted error is used to shape a precision input signal so that the newly-shaped signal yields a uniform or relatively uniform predicted quantization error. A dither is applied to the re-shaped signal, and the shaping is reversed, after which the signal may be slope limited and/or quantized, taking full and efficient advantage of the dithering technique.