Quote:
Originally Posted by Pars 
You may want to comment on that as reading your posts sounds somewhat conflicting when you state:
This might lead someone to wonder if it lacks much of the highs (i.e., rolled off response), how can it pound unwanted HF energy into whatever it drives?
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I will say it again:
When you look at the output of a NOS DA before the filter (or with no filter), you see that "stair case" type of a signal. That is the NRZ signal (not returned to zero). Each sample value is "held" until the next sample time. Those "steps" are in fact easier to see at higher audio frequencies (they are bigger).
For example, take a sampled 10KHz or better yet 20KHz, and you see very high difference between the smooth original wave, and the "stepped" sampled wave. The difference between the original wave and the sampled wave is found by subtracting one from the other. You can look at the paper I pointed earlier about sampling, oversampling imaging and aliasing.
When you examine (analyze) that energy difference, you find out 2 facts:
A.
Most of the difference in the energy is what we call image energy. It is in fact very predictable. It looks like a mirror picture around the sample rate (such as 44.1KHz), then it is also around 2fs (88.2KHz), and around 3fs and so on. In other words, a 1KHz sampled NRZ wave contains 1KHz tone, but it ALSO contains 44.1KHz +1Khz=45.1Khz and 44.1-1=43.1KHz. It also contains 88.2+1 and 88.2-1 and so on. What is worse is a signal that is 20KHz. The first image you see is at 44.1KHz-20KH= 24.1KHz. That is very close to audio and that image amplitude is the nearly the same as the 20KHz tone. How high does the image frequency go? Very high frequencies, but not “forever”. The image amplitude follows the sinc function (sin(X)/X curve), but you still have plenty of energy in the MHZ!
B.
The second fact is that the audio itself also follows the same sin(X)/X curve. The other portion of the difference energy "sucks away" amplitude form the audio range. At 1KHz, that curve does not cause problems (the loss is tiny), but by the time you get to 20KHz you are losing around 1.5dB with a NOS.
This is the time to quantify things. A 1.5dB loss in the audio range is a lot of sonic alteration. If the same same sinc curve may cause say around 6dB loss at around 44.1KHz that is still a lot of high frequency energy. For a 10V audio, you end up with 5V of high frequency around 44.1Khz, right along with the audio. You really want no audio loss and no high frequency energy (such as .1dB audio loss and -100dB of image attenuation), and with NOS you are far from such a goal. You end up with 1.5dB audio loss and the image is only only a few dB below the audio amplitude.
(Note: When you up sample, you are "stretching" that sinc curve in the horizontal direction (frequency), which lowers the high frequency attenuation. Up-sampling also moves the images to higher frequencies away from the audio range, and with a bigger "gap" between audio and image frequencies the analog filter is much less of a problem. Up-sampling help solve BOTH issues).
All that happens BEFORE you do any filtering. So with the NOS you have 2 things that happen at the same time - loss of audible high frequency amplitude AND the addition of a lot of high frequency energy. That is not a conflict, it is an iron clad fact.
A DA is not a filter. If it were a filter, you could expect that loss of audio high frequencies will also mean loss of other high frequency. But a DA is not a filter, and the process introduces high image energy while causing loss of high frequency audio energy. Don't view a DAC as a filter and it will not confuse you.
Now, you take a NOS, and if you leave the post analog filter out completely, you still have all the high frequency energy. If on the other hand, you want to remove the high frequency, you need to add an analog filter to remove that energy. Remember the above mentioned 44.1-20= 24.1KHz image? You want to remove it, so ideally we need a filter that passes 20KHz without any attenuation, and rejects 24.1KHz completely.
If you could have such a filter, you still end up with the loss of highs that comes out of the NOS before the filter. But the fact is, you can not have a practical analog filter that will yield say .1dB to 20Kz, and say -100dB at 24.1KHz. (you can do so with up-sampling but not with NOS). In fact you can not even have a real filter that will add 3dB loss at 20KHz (to the already existing loss) and yield say 60dB image removal at 24.1KHz. You end up with a pretty poor compromise.
So there is no conflict here. The signal out of a NOS has a BUILT IN loss of high frequency audio AND a bunch of high frequency energy all at the same time.
I hope it is clearer. I really can not continue to put so much time into the thread...
Regards
Dan Lavry
Lavry Engineering