QUOTE
I think you missed something ... the filter after the DAC also has to filter out everything over half the sample frequency, so 22.05 or 24 kHz.
Once the signal is digitized,
there is no "data" above half the sample rate. That's the whole idea behind the
Nyquist Theory... You can't get any signal through the system that's above half the sample rate. There is no data above 22.5kHz on a CD... It simply cannot exist!
There may be some clock noise (sample rate frequency) leaking into the analog stage. And, there will be harmonics, but (at half the sample rate) the first harmonic is up at the sample rate.
The DAC works by "connecting the dots" in order to "draw" the wave. At half the sample rate, you get one "dot" per half-cycle which represent the positive and negative wave peaks*. A higher frequency would require information
between the dots (between the samples).
Aliasing is a side-effect of trying to "push through" signals higher than the Nyquist frequency. This occurs during the digitizing process (at the ADC stage). The above-Nyquest signal is completely missing from the digitized data (replaced by the lower frequency alias). ...Aliasing is not an issue for the DAC.
* This value represents the peak of the
reconstructed wave. At these high frequencies, it will NOT accurately represent the peak of the
original wave, unless the ADC clock was lucky enough to line-up with the signal peak.