QUOTE(Light-Fire @ Apr 19 2008, 12:42)

QUOTE(pdq @ Apr 19 2008, 07:59)

...Dither helps to retain some of the information from the bits that are being lost, at the expense of added noise...
Where are you going to save the information you "retained" if all (16 bits) are already taken by information coming from the original file (24 bits?)
Signals that are well below the Nyquist frequency are, in effect, oversampled in the time domain and this gives an opportunity for storing additional information. Without dither this opportunity is lost due to quantization. However, by proper dithering the lsb is modulated in such a way as to restore the information that would have been lost, at the expense of some high frequency noise.
Look at the sequence of bits:
00000000000001111111111111
This is what you would get from a slowly increasing signal after quantization. Now look at the sequence:
00001000100101011011101111
By adding a little bit of noise we now see that the underlying signal is slowly rising, not abruptly changing value from 0 to 1. This is in effect what dither does.
This may be off-topic, but can any of the experts help me with this question?
We always talk of dithering with random noise, which permanently adds noise to the signal, hopefullynot audible.
However, suppose that one added a fixed high frequency tone of the correct amplitude to effect the dithering. Then on playback just pass the signal through a notch filter to remove the tone, either digitally at a higher bit depth, or else in the analog domain. I know there could be problems with intermodulation with other frequencies in the signal, but is there any potential to this approach at all?