Gr8Desire
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What do you mean "induce" dithering. You either add dither or you don't. The point of it is to randomize the errors due to quantization, substituting broadband noise for the truncation distortion due to the rounding. Quantization intimately relates to the bit depth, not the sample rate, as the number of bits determines the numerical set onto which we must map the samples.
I am using the term from my experience in writing related algorithms. Inducing dither is correct because that's what the algorithm does.
When you change timebases you have to estimate the quantized values for the new timebase. Dithering (which is the same term used in image processing where I have more experience) is induced into the result to help "guess" at missing data points (or as you might say: quantized values in a different non-integral timebase).
FWIW: Audiophiles have little actual experience, so they get these simple ideas things wrong.
And as I said before, you don't dither when changing with bit depths. No need to. Any missing values can be accurately determined by interpolation when up sampling or just removing data points when down sampling.