Originally Posted by DonH50
IMD is worse by 6 dB/9.5 dB than the 2/3-order HD term.
Awesome, thanks for that Don! I'm not a math guy, but this matches my empirical experience when I did circuit design stuff years ago.
So this is yet more evidence that specs giving only THD are incomplete, especially when said incomplete specs are used to suggest that two devices can measure the same yet sound different.
--Ethan
To be fair though Ethan IM distortion is incredibly more complex than just that when it comes to audibility and importantly the test protocol-procedure it is applied to.
Check the arguments on DIYAudio about IM Distortion
But going with IM distortion is a problem (beyond showing amp behaviour) then it is interesting what Nelson Pass has to say in his article relating to IM distortion:
Figure 7 (simple intermodulation distortion) shows a distortion waveform resulting from two tones passing through a gain stage with both 2nd and 3rd order nonlinearities having 1% coefficients.
The two tones have equal amplitude and they are one octave apart.
The signal peaks are about 1.8 volts, and the distortion peaks are about .09 volts, or 5%, and the ratio of rms averaged distortion divided by the rms signal is about 4%.
This distortion doesn't look so bad, but it is obviously higher and more complex than singletone distortion.
Let's see what happens when there are lots of frequencies involved.
In Figure 8 (complex intermodudulation distortion) we see a waveform consisting of 7 non-harmonically related tones of equal amplitude from 100 Hz to 2800 Hz.
If we run this signal through the same gain stage and subtract the original signal we get the distortion seen in Fig 8:
Not very pretty is it? Now the distortion is getting really complex, with lots of harmonics, and the peaks are up around .9 volts.
That's 11 times the .08 volt figure of the single tone, and the ratio of the rms distortion to the rms input signal is about 8%.
I appreciate I sound like a broken record but this supports my point that measurements are meaningless unless used in their correct context, meaning that too many times a simple test-measurement result is used for conclusive evidence either to make a point or part of a hypothesis.
I really do feel we can measure those factors in Jeff's article relating to resolution, transparency, soundstaging, imaging, etc.
However maybe this will not be possible until we use test protocols-procedures and tools that reflect the greater complexity of real musical notes (maybe such as a sustained major chord at different points on the musical scale although in reality we also need attack and decay).
To emphasise my point we have IM distortion as presented by Nelson in his article, where two tones may be enough to assist in seeing an amp behaviour or some potential problems but does not reflect the characteristic response with real musical notes from instruments.
Ethan, again I am smiling because at this point your going to go aha this proves all sound differences beyond FR relate to distortion; in a way its proving both our points so far.
But here is Nelson's closing comments (bearing in mind that he has looked at this in detail and applies this experience to building products).
If you want the peak distortion of the circuit of figure 13 to remain below .1% with a complex signal, then you need to reduce it by a factor of about 3000. 70 dB of feedback would do it, but that does seems like a lot.
By contrast, it appears that if you can make a single stage operate at .01% 2nd harmonic with a single tone without feedback, you could also achieve the .1% peak in the complex IM test.
I like to think the latter would sound better.
Full article here and suggest its worth a read even those marginally interested in this type of topic or measurements.
http://www.firstwatt.com/pdf/art_dist_fdbk.pdf
To me there is more to this than just the 4 parameters you feel explain audio production (Frequency response,Distortion,Noise,Time-based errors), which is why I feel your conclusions at the moment are incomplete, and on top of that it still needs to be shown how those 4 parameters correlate to what we hear (as I say using more than just tonal/bass description and include those more along resolution, transparency, soundstaging, imaging and several others as suggested by Jeff in his own anecdotal experience) between different products while being comparable to just your 4 parameters you mention for the measurements.
But importantly on top of this we are ignoring temporal related information-tests if focusing on your 4 parameters in your hypothesis of what we hear from audio reproduction, which again is a critical aspect that may have some implications on the area where some who describe what is being replayed back with the term musical.
Anyway Until you can correlate the measurements and products and listeners full perception of audio playback to your proposed 4 parameters it is just hypothesis, which unfortunately will not go any further as it seems you do not want to investigate the listener perception-hearing side as you feel its too subjective (bearing in mind as I said in the past HK/Toole/etc at some point in their investigation-studies do this).
This can be blind listening using the right procedures and protocols and nothing to do with ABX (abx in this instance would not be helpful and if necessary happy to expand on the reason in a different thread).
Still a pig to setup, but until then a step in that direction would be to take specific keywords relating to perception describing what we hear (used by the better reviewers such as the resolution, transparency, soundstaging, imaging along with others) and try to compare those across their many reviews to the products and measurements.
That is not conclusive but a step towards the blind listening protocol and would help as it narrows the criteria of products to use in such a test, until then your stuck in a hypothesis IMO just like me
Cheers
Orb
Edit:
Added an end paragraph after the Nelson link, just to provide a better wrap up from my end.
Also if I say "your 4 parameters" often it is not intended as an insult, just that I quote 4 perception descriptions from Jeff and did not want them to get blurred and confused as their context (parameter measured vs perception description heard) are different.
And also bear in mind Nelson's complex IM distortion test I think is way beyond any current IM distortion tests done by review publications and manufacturers (if someone knows differently more than happy for them to post a link to them as I would be curious).
And one last clarification, I do agree with you Ethan that distortion and FR may create and can affect a listeners perception for audio playback if those test measurements result in audible figures, but as an example the Nad and ARC should not due to very low figures where something else is occurring IMO.