AES E-Library

AES E-Library

Subtractive and Nonsubtractive Dithering: A Mathematical Comparison

A comparative analysis of subtractively and nonsubtractively dithered quantizing systems, with and without noise-shaping error feedback, is presented. A review of the principal results prefaces the most thoroughgoing mathematical analysis of either system that currently exists in print. The relative advantages and disadvantages of each system are compared, addressing their inherent signal-to-noise ratios and the requirement for knowledge of the dither signal at the receiver in subtractive systems. It is shown that subtractively dithered systems can render the total error statistically independent of the input signal at the expense of requiring knowledge of the dither signal at the receiver. On the other hand, nonsubtractively dithered systems can at best render specified statistical moments of the total error independent of the input and will introduce greater total noise into the output, although they do not require knowledge of the dither signal at the receiver. The treatment extends to include new findings regarding signal correlations in subtractively and nonsubtractively dithered systems, and regarding subtractively dithered systems using spectrally colored dither signals and/or noise-shaping error feedback. The new results are proven as needed for purposes of comparison.

JAES Volume 52 Issue 12 pp. 1211-1227; December 2004
Publication Date:

Click to purchase paper as a non-member or login as an AES member. If your company or school subscribes to the E-Library then switch to the institutional version. If you are not an AES member and would like to subscribe to the E-Library then Join the AES!

This paper costs $33 for non-members and is free for AES members and E-Library subscribers.

Learn more about the AES E-Library

E-Library Location:

Start a discussion about this paper!

AES - Audio Engineering Society