Two techniques for prevention of in-band tones in DWA mismatch noise shaping algorithm are presented. "Offset technique" moves in-band tones away from baseband, improving SNR by 10 dB, and attenuates maximum in-band tone by as much as 25 dB. "Randomized DWA" is a combination of simultaneous randomization and DWA, which attenuates tonal behavior in all frequencies, preventing aliasing of tones or tone shifting for any arbitrary input signal.Index Terms-A/D and D/A converters, data-weighted averaging, sigma-delta modulators.