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Thank you for these references.Here is a thread on dither started by JJ.
Dithering is a Mathematical Process - NOT a psychoacoustic process.
I have calculated a sine wave of magnitude .4, rounded it, added uniform dither, rounded that, and added tpd, and rounded THAT, i.e. I've set a step size of '1' in the quantizer. The routine that does this will follow in a comment. The photo I'm attaching now has 4 lines. each line shows a...www.audiosciencereview.com
Paper by Lipshitz, Wannamaker and Vanderkooy for the mathematically inclined.