John Curl's Blowtorch preamplifier part II

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Two worlds here, the mathematical one and the one we live in with all its limitations.

Mathematically, frequency and time may be conjugate variables, but this presupposes that the exact mathematical representation on either frequency or time side is known to begin with. I am sure that if you could find a mathematical expression of noise in the time domain, you could go to the F-side and back again without loss of information. Describe random noise as a function of time and the next Fields medal is all yours. In the case of music, what is the time domain function of Lou Reed's "Walk on the Wild side"?

So, mathematically, between the time and frequency domains there may be unlimited re-entry visas, but this is not how we use FFT's in daily life. There are no well defined functions. We do it on mathematically undescribable signals, so take measurements, window them in time frames and split up into frequency bands what is inside those windows.

What can we miss by doing so? Quite a lot actually, but I need a small diversion first to make what comes next more real. FFT's have been used extensively in the search to unravel speech for automated speech recognition, but with limited succes. Apparently, the human ear is able to distinguish markers in sound that cannot be identified by FFT. Otherwise, speech would have been cracked.

Now, to the point. Take a realistic situation where you want to look at the distortion products of a 100 Hz tone. You need a window larger than 10 ms for that. That will capture at least two periods of the second harmonic. Now, asume that the second harmonic has the character of a pulse, with a high first period and a low second. What you will see on your screen is the average of the second harmonic, not the peak. The ear most likely is able to maintain resolution where the FFT is not capable of doing so.

This could be the explanation why two amps that measure identical can still have a different acoustic signature.

Anyways, there is theory and application, and I hope to have pointed out a shortcoming of FFT in its application for audio analysis. Important information gets lost.

vac

This is exactly where i was heading - you got that and jumped into the conversation... I hope more people do this. Anyway, you made a better point and clearly than I might have. FFT doesnt tell us enough. The averaging is a big deal.

Thx, Dick Marsh
 
Getting ahead a little aren't we? For the purpose at hand the raised cosine pulse has enough BW limiting to demonstrate the basic principle. BTW in your abve example wouldn't a doublet kernel (raised sine) have more symmetry for class A/B outputs?

I am interested in how an output handles itself when the lf content is running in one quadrant, and then suddenly has to traverse another, not necessarily through zero current/voltage. Bursting a 20Khz sine in quad 1 (+V/+I) such that the output stage flies into either 2 (-V/+I) or 4 (+V/-I) means the opposite pass elements really have to work.. and the entire stage has to respond to that. (I'd hate to think about some active element going into sat because of some silly little pulse...then taking time to recover..)


EDIT - Sorry if I wasn't clear by raised I meant a cosine pulse with gaussian envelope.
Where's the fun in that? I like sinx/x far more, it's cleaner.

jn
 
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It is a reasonable approximation to a signal that is somewhat BW limited and can have a high crest factor. The purpose is to provide counter evidence for things like first cycle distortion and other proposed phenomena. Our use this time had nothing to do with audio but I thought it might be of use there. A suddenly applied sine wave has a confusing amount of out of band signal.

A pulse test which is as short as one pulse is also important... because music is composed of high crest factor signals that do not repeat continuously (other than musically).

Now we are getting closer to knowing what kinds of tests are relavent and might start to correltae better.

More input, please, from others on the sidelines ! All are welcome in discovery. new tests and new ways to test from existing equipment will show other views... might lead someone to have other insights to pursue.

Thx, Dick Marsh
 
That was not me saying that, but throwing in a simple RC plot does not seem to move forward. The statement of a "typical" audio PA having 20usec "delay" was made, the counter example was provided in the form of a plain old chip amp. Still waiting for a bonafide text that teaches the feedback looping around with a path delay.

If you check back, I stated that I was wrong and apologized to Sy. He accepted such. Evidently you missed those comments.
 
This is exactly where i was heading - you got that and jumped into the conversation... I hope more people do this. Anyway, you made a better point and clearly than I might have. FFT doesnt tell us enough. The averaging is a big deal.

Thx, Dick Marsh

This post was discussed quite a while ago, I won't repeat my comments. I would prefer to build a Zen rock garden in my front yard.
 
Yes, real. Yes, measurable- you subtract the minimum phase delay from the frequency response from the output. Order of magnitude in practical amplifiers is a few dozen nanoseconds or less (much less for IC amps). It's something you have to pay attention to in video amps, but not audio. Its invocation as the somehow neglected factor in audio amplifier feedback (like the "round and round" argument) is a sure indicator that there's a fundamental non-understanding of how electronics works.

Then why the attempt to discredit me as an incompetitent is uncalled for. I would appreciate an apology.


Cheers.
 
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vacuphile said:
I am sure that if you could find a mathematical expression of noise in the time domain, you could go to the F-side and back again without loss of information. Describe random noise as a function of time and the next Fields medal is all yours.
Two confusions here. If you could find an expression for random noise it would not be random - the clue is in the name! You can do an FFT of random noise, and back again, with no loss of information. You can do an FFT of any time series, and back again, with no loss of information.

vacuphile said:
I hope to have pointed out a shortcoming of FFT in its application for audio analysis.
No, you have pointed out a shortcoming in your understanding of FFT in any application.

I know this is an old post which has already been dealt with by others, but Dick seems to want to agree with it:
RNMarsh said:
This is exactly where i was heading
 
SY said:
Its invocation as the somehow neglected factor in audio amplifier feedback (like the "round and round" argument) is a sure indicator that there's a fundamental non-understanding of how electronics works.
Slightly overstating your case? It is certainly an indication of misunderstanding how feedback works, but not necessarily other aspects of electronics.
 
You would need to switch on the sig gen long before you decided to do the sin x/x experiment!

The algebra of feedback works exactly for zero forward delay and reliably for negligible forward delay. Issues such as re-entrant distortion are predicted by the algebra, so are not phenomena caused by any delay. In almost any (possibly all?) audio amps the delay is negligible. As I said, a set of LP filters can superficially look like a delay but if they can be compensated away by an inverse filter than they are not a true delay. A real delay can only be compensated by a time machine - a suspension of causality.

For some reason lots of people seem to think that feedback works by the signal progressively getting further and further copies of itself merged back in. It doesn't, at least not for audio. It is pure algebra; effectively instantaneous. It is for each person to decide whether he believes this or not. Disbelief shows a lack of understanding about feedback.
 
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Slightly overstating your case? It is certainly an indication of misunderstanding how feedback works, but not necessarily other aspects of electronics.

Yes, let's stay focused on this fundamental point that I feel is important because it has resurfaced time and time again even by folks that should know better. It has been used for years by the no feedback lobby.
 
Yes, let's stay focused on this fundamental point that I feel is important because it has resurfaced time and time again even by folks that should know better. It has been used for years by the no feedback lobby.

It was exactly the reason why I chimed in this discussion, because of annoying resurfacing of this fundamental misunderstanding that leads to wrong decisions. I hope the day will come when people instead of asking, "How much feedback is used in your gear", or "Is feedback used", will ask some more relevant questions.
 
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Just to clarify, for the benefit of those that can do maths, consider the formula

1/(1-x) = 1 +x +x^2 +x^3 +x^4 . . .

This actually models, in a simple way, what happens with feedback. You can consider the infinite series on the RHS as being either a set of higher order distortion terms or a set of progressive interactions. However, they all happen at the same time. The algebraic model is represented by the LHS. The two sides are equal. There are no magic extra problems.
 
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=DF96;3126675]You would need to switch on the sig gen long before you decided to do the sin x/x experiment!

The algebra of feedback works exactly for zero forward delay and reliably for negligible forward delay. Issues such as re-entrant distortion are predicted by the algebra, so are not phenomena caused by any delay. In almost any (possibly all?) audio amps the delay is negligible. As I said, a set of LP filters can superficially look like a delay but if they can be compensated away by an inverse filter than they are not a true delay. A real delay can only be compensated by a time machine - a suspension of causality.

Better read what I stated in earlier posts again. I never stated delay caused distortion. I stated that as the frequency increases, a phase shift takes place and eventually the negative feedback becomes positive. If it passes through or circles 1 + j0, then oscillatoin occurs. As the phase shift takes place, the distortion figure changes. Check Stereophile specs by JA as an example. But why would one design so close as to flirt with an oscillation to begin with?

The rest is not worth arguing about. My professor is dead. Have it your way.

Cheers.
 
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