Did you see how a 20kHz sine wave could be perfectly reconstructed with 2 (and a tiny bit) samples per cycle?
I saw the video, but you don’t read my post.
The problem are not single frequencies, one can attribute a 0 to a valley and a 1 to a crest. No problem at all.
Waves are additive, this is the basis of all of the “linear behavior” of audio. If Monty tried to add a second frequency with another intensity it cannot reproduce them.
You will have, for simplicity, 4 different values.
1- Valley of first and valley of second
2- Valley of first and crest of second
3- Crest of first and valley of second
4- Crest of first and crest of second.
Massive simplification but you should multiply any degree of freedom in your human brain Fourier space to have the correct minimum amount of bits.
I ignore the history of the 16 bits, but be sure that 15 is not enough and 17 doesn’t change fidelity.
Knowing how engineers love efficiency, they had came to the best value.
Maybe we’re talking about same concept though, noise is random information and will be noticed not only at sound when instruments are not playing, but also in a difficulty to reconstruct the original signal.
On my side, I still continue to use my external DAC and high levels of digital volume, just because I have the components and subjectively perceived better.
But given the 32 bits of WiiM, the transparency measured by Amir and the fact I couldn’t adequately test my perception with my gear, I retire my recommendation to use external DAC because of lack of good objective arguments .