Modulators with more than just a single bit can be effectively dithered, single bit ones can't. Its the lack of ability to correctly dither which Lipshitz and Vanderkooy claim is the fly in the ointment for DSD.
I can't understand why need dithering in sigma-delta modulator. May be we see in this phrase ditherent things.
Could you show scheme of the modulator what you describe (datasheet some DAC or other)?
Yeah I also didn't see a reference to dithering the quantizer which in that paper is two bits. You asked about an example of a scheme of a modulator so that's what I found.
So are you interested in dither being applied to single bit quantizers in DACs? I'm not really clear on your question.
Modulators with more than just a single bit can be effectively dithered, single bit ones can't. Its the lack of ability to correctly dither which Lipshitz and Vanderkooy claim is the fly in the ointment for DSD.
My comments about dithering 1bit quantizers are based on the paper I've been referring to. Suggest you have a read of that to see if you agree with Lipshitz and Vanderkooy's math.
https://sjeng.org/ftp/SACD.pdf
You may note that L&V consider limit cycles and noise modulation effects important criteria too in assessing S-D modulators.
Yet I guess in some sense the discussion is moot. As mentioned on this thread, a lot of modern A/D converters operate in DSD anyway, so even if you listen to PCM the recording is often pre-processed as DSD right at the source.
This is a common mis-conception, I think its one actively promoted by DSD enthusiasts too (I've seen claims of 'DSD-like' ADCs for example) but there is a difference between most modern ADCs and DSD. The difference is in the number of bits in the modulator. I'm aware of one (the Grimm) which uses a single bit modulator, there may well be others but many (likely most) use multi-bit modulators (typically up to 5 bits). Modulators with more than just a single bit can be effectively dithered, single bit ones can't. Its the lack of ability to correctly dither which Lipshitz and Vanderkooy claim is the fly in the ointment for DSD.
The difference is probably going to depend on the ADC, nowadays most ADCs are using high levels of oversampling with noise shaping internally. So your PCM 24/192 recording most likely isn't pure PCM.
With your experiment comparing the PRaT of DSD to PCM, what was the DAC in use? With the mainstream S-D type of DAC, oversampling on the PC normally improves SQ whereas with multibit DACs the reverse is true.
No, but what you say is correct, not all D-S is DSD. But all DSD is D-S.
Thanks for clearing this up, Opus. I was actually not just misled by DSD enthusiasts, but also by your own post earlier in the thread. I thought you were on their side (emphases added to quote):
That is exactly what Berkeley Audio says. If I remember correctly, there was a vigorous discussion on Computer Audiophile where Michael Ritter from Berkeley Audio countered the claim by Miska from HQPlayer (total DSD enthusiast) that Delta-Sigma (D-S) by definition is DSD by pointing out that the Berkeley DACs, using Delta-Sigma modulation, are multibit (5 or 6 bits) and thus PCM.
Miska of course wouldn't have any of it, but apparently he is wrong, also according to you, if I understand you correctly.
Ah, then thanks also to you for clarifying what you found misleading in what I wrote. The DSD supporters over on CA try to undermine multibit lovers by telling them that the vast bulk of their beloved recordings are already in effect made with DSD technology. But S-D and DSD aren't the same, L&V point out its the 1bit quantizer of DSD which is the nub the problem.
Yep, I've already had that discussion with Miska on CA. He is of course heavily invested in the kool-aid of DSD - the saying of Upton Sinclair comes to mind 'Its hard to teach a man something when his salary depends on his not understanding it'.
A more striking example of kool-aid thinking it would be hard to find. Let's unpack a little of what's being said there -
Well, the fact is that the principles which underpin DSD are hard at work in almost every digital audio device you own, from the cheapest DAC chipsets built into your mobile phone, to the most expensive stand-alone audio DACs.
They're referring to quantization with noise shaping (aka S-D) and oversampling so yes, they're quite correct that those principles underlie the vast majority of consumer DACs and ADCs in use today.
The leap of faith comes here, at the end of the quoted paragraph -
So, at some point, if you want to understand Digital Audio, you’re going to have to understand DSD.
Notice the logical fallacy in that? There's probably an official name for it but I'm too lazy to look it up. They're arguing the wrong way around - DSD is built on the foundation of S-D so you'd want to understand the foundation, not the superstructure would you not if your aim was greater understanding of digital audio in general?
That is exactly what Berkeley Audio says. If I remember correctly, there was a vigorous discussion on Computer Audiophile where Michael Ritter from Berkeley Audio countered the claim by Miska from HQPlayer (total DSD enthusiast) that Delta-Sigma (D-S) by definition is DSD by pointing out that the Berkeley DACs, using Delta-Sigma modulation, are multibit (5 or 6 bits) and thus PCM.
If 1bit defines DSD then yes, any higher number of bits implies PCM. But I don't see it quite in such black and white terms myself, just my own view though.
My Dac has R2R PCM and DSD512 chipless. I am extremely happy.
Upsampling to DSD512 is magical, but also to DXD, PCM 384 is wonderful too.
Percussion stuff may be better in PCM, but Jazz/Vocals is better in DSD as a general rule. I want it all!
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