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this is, I believe, his point

I like to think in examples. So think about a very very tiny constant signal. Without dither, it would just be sampled as zero and would disappear.

With random dither, it will almost always be sampled as zero, but every once in a long while it will be pushed above the quantization level and will show up as a 1. So you end up with many 0s and a few 1s widely scattered.

With a long integration time, you will get back your original signal.

And any arbitrarily small constant signal can be detected using a long enough integration time.

Obviously a long integration time doesn't work for a time varying signal because you'd lose the high frequencies. But you do need some sort of integration to get the dither to work as intended.


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