The Gentle Art of Dithering

On the topic of high-performance audio, there remains disagreement over the ways in which sound quality might benefit from higher sample-rates or bit-depths in a digital path. Here we consider the hypothesis that if a digital pathway includes any unintended or undithered quantizations, then several types of errors are imprinted, whose nature will change with increased sampling rate and wordsize. Although dither methods for ameliorating quantization error have been well understood in the literature for some time, these insights are not always applied in practice. We observe that it can be rare for a performance to be captured, produced, and played back with a chain “flawless” in this regard. The paper includes an overview of digital sampling and quantization with additive, subtractive, and noise-shaped dither. The paper also discusses more advanced topics such as cascaded quantizers, fixed and floatingpoint arithmetic, and time-domain aspects of quantization errors. The paper concludes with guidelines and recommendations, including for the design of listening tests.