A new dithering method to remove limit-cycles in Sigma-Delta modulators is presented. With this new method, the sequence length of a Pseudo-Noise generated dither is matched to the digital decimation filter. This causes the frequency spikes of the dither to coincide with the notches of the filter which results in total elimination of the applied dither power. In contrast to existing dithering techniques, matched dithering will not introduce additional inband noise. Compared to existing dithering techniques, the required dither amplitudes are relatively small (5%-30% FS) and may decrease with increasing oversampling ratio. Matched dithering proves to be very powerful for instrumentation applications.