The digital file is formed from regularly spaced sampling points
and reguarly spaced quantization levels.
The output of the D to A is derived from a regularly spaced set of coordinates so it therefore has that reqularity.
Here is the graph of the CD noise floor with a standard TPDF dither:
lvqcl- But whatever we do hear must be derived from the regularised data set wouuld you concur
This regularity is effectively removed by dithering.
ivqci - I am talking about regularity in the shape of the waveform
when you say can be seen on a scope I guess you mean before the reconstruction filter. If so the reconstruction filter forms a waveform from a product of those samples and quantization points and so there is literally trillions of points in just a second to define the smoothed output
Thanks for the discussion. My conclusion on this is. - There is no quantization grid. And no regimentation effect in amplitude due to quantization when dither is used. As dither scans the input up and down over the quantization steps, it makes quantization benign like sampling. In fact the word Quantization is innapropriate for the finished process as the resulting waveform is not a quantized waveform! It has infinite resolution because the dither noise fills the space between quantization steps, so there is no room for anything to go undetected. This is another reason why dither is important.
A process with infinite resolution would output a signal that is exactly the input signal. The error that would be calculated by subtracting the input and output signals would always be exactly zero.
Resolution is the smallest detail a system can record. In an undithered digital system that is a detail with height greater than one quantisation step. In a dithered system it is infinitely small.