Feedback in audio esp wrt op-amps.

["Followup-To:" header set to sci.electronics.design.]
William Sommerwerck wrote:

I'm not sure that's right. My memory (which could be faulty) is that this
can be shown mathematically.

I'll ask around (I know a few people in high places) and see if I can get a
reference.
If you want real information, don't ask people in high places. Ask techs.

robert
 
If you put in a FS 1 KHz tone, you get out a nearly FS 1KHz tone, DC that is
46 dB down, and 2 KHz that is 46 dB down. Run the output back through again,
and you get a nearly FS 1 KHz tone, DC that is still about 46 dB down, a 2
KHz tone that is about 46 dB down, and a 3 KHz tone that is about 92 dB
down.
Wouldn't you get 4 kHz (2nd harmonic of 2kHz) rather than 3 kHz?

robert
 
Dammit, I've got that paper around here *someplace*.

The paper I'm referring to is by an English author, I think not Reg
Williamson and I think not Self, showing the generation of higher harmonics
on the application of moderate amounts of feedback in a simple FET circuit
which produces only low-order harmonics without feedback. As the feedback is
increased the high harmonics get smaller; they're at their worst in
low-feedback circuits. The measurements were real, not simulations.

Meanwhile, as I looked for that $%^$# article, I found this:

www.ucop.edu/research/micro/98_99/98_074.pdf

It's a theoretical discussion of the generation of higher-order IM products
in feedback amps. The theory is supplemented by simulations, but
unfortunately not by real-world measurements, and the authors note that
their models are oversimplified. Still interesting reading as a possible
stimulus to further work. In their model FETs behave worse than BJTs,
tubes -- sometimes -- behave a bit better than FETs.

Meanwhile, can anyone help my blocked memory? Who the hell wrote that paper?

Peace,
Paul
 
Robert Latest wrote:

Eeyore wrote:

The idea that you can 'get away' with sloppy circuitry for replay because the
source was in some way 'impaired' is totally false.

I don't think anybody proposed "sloppy" circuitry for replay. The point is
that studio audio gear is just solid, reliable, conventional good audio
stuff (none of that high-end low-oxygen power cord crap). Plenty of opamps,
plenty of NFB, plenty of digital processing, plenty of all the things that
high-enders loathe.

Since the recording studio already did 90% of the work of completely
destroying the audio signal beyond repair, it doesn't matter how much your
home audio gear adds to that.
Oh, I reckon the latest fad, the single ended tube output satge (preferably with
no feedback) can achieve that !

Graham
 
It does, because a stage which is audibly blameless
by itself may turn into a sonic disaster when it appears
a few hundred times in the signal path.

** Huh ??
A few HUNDRED times ???????
The colossal fool must be on LSD.
Mr. Dorsey is being only slightly hyperbolic.

Mixing boards use huge numbers of op amps. If you bounced a signal from one
track to another, it wouldn't be difficult to pass the signal through 50 to
100 gain stages.
 
I do wish you'd glom onto a Crown K1. You really need to
hear this amplifier -- and run it through some blind tests.

What's the K1 like then ?

Something like The Second Coming?

No, more like something out of Revelations.
If there were a Fifth Horseman, "Grundge", that would be the K1. It's so
bad-sounding, you can hear what's wrong with it without directly comparing
it with anything else.
 
Sometimes when I hear the golden earers talk I'm surprised
that I can make out any music at all when listening with my
Cantons fed from an old Sony amp through particularly
oxygen-rich cables.
I think if you owned better equipment, your views of what constitute good
and bad reproduction might change.
 
"Robert Latest" <boblatest@yahoo.com> wrote in message
news:5ivgb4F3opbb0U2@mid.dfncis.de...
William Sommerwerck wrote:

I'm not sure that's right. My memory (which could be faulty) is that this
can be shown mathematically.
I'll ask around (I know a few people in high places) and see if I can get
a reference.

If you want real information, don't ask people in high places. Ask techs.
And their qualifications for making a valid mathematical analysis would
be...?
 
"Eeyore" <rabbitsfriendsandrelations@hotmail.com> wrote in message
news:46CA4BE2.EF9C44FE@hotmail.com...


"Scott Dorsey wrote

It does, because a stage which is audibly blameless by itself may turn
into a sonic disaster when it appears a few hundred times in the signal
path.

The EQ section alone on a Neve V series (and derivatives) has 18 op-amp
stages.
Can't find a schematic for that one, but I'm looking at the schematic of a
Neve 83022EQ which seems to be representative.

http://www.danalexanderaudio.com/neveinfo/83049/83022EQ.jpg

There are a ton of op amps, but they aren't all cascaded on the signal path.
For example, 16 op amps are in 4 state-variable filters each composed of 4
stages, plus a helper amplifier.

In actual use, the full bandwidth and amplitude of the output signal of the
equalizer rarely if ever flows through all 16 op amps.

The state variable filters are typically used as hi pass, lo pass, shelving,
peaking or nulling filters, so only a fraction of the audio band is affected
by each. When each parametric section's boost/cut control is centered as it
often is, very little of the output signal passes through them.

There are 5 op amps with gain either -1 or +1, cascaded across the top of
the schematic. They are always in the signal path of the eq. They each pass
the entire audio band. However, it looks like it may be possible for the
whole eq to be bypassed.

My analog parametric eqs include individual bypass switches for each
section, and a bypass the whole eq. I can see maybe 20 ops amps actually
interposed full-band and full-signal in a record/play signal path, but 100
seems like a reach.

I've done experiements where we built up a string of 20 unity and 10 dB
stages, using fairly primitive op amps like TL074s. No reliable detection
in level-matched, bias-controlled tests, using very clean sources, very
clean monitors, and a variety of listeners who were either audio engineers
and/or audiophiles, and thought they would hear a difference.
 
"Robert Latest" <boblatest@yahoo.com> wrote in message
news:5ivgg5F3opbb0U3@mid.dfncis.de...

If you put in a FS 1 KHz tone, you get out a nearly FS 1KHz tone, DC that
is
46 dB down, and 2 KHz that is 46 dB down. Run the output back through
again,
and you get a nearly FS 1 KHz tone, DC that is still about 46 dB down, a
2
KHz tone that is about 46 dB down, and a 3 KHz tone that is about 92 dB
down.

Wouldn't you get 4 kHz (2nd harmonic of 2kHz) rather than 3 kHz?
You get both third and fourth. The 4th is another 46dB or so down, or about
138 dB down from the fundamental. I felt safe ignoring it. ;-)

I think that the third harmonic is actually due to the modulation of the DC
term from the first time through. The fourth harmonic is the second harmonic
of the second harmonic, of course.
 
"MooseFET" <kensmith@rahul.net> wrote in message
news:1187670808.331198.137000@i38g2000prf.googlegroups.com...

I tried my harmonic of the harmonic argument again. Sometimes it
works sometimes not.
It all comes out if you do the math, which involves a few simple trig
identities.

It also comes out if you simulate it in Matlab or Audition/CEP. I did my
simulation in CEP using Edit, Mix, Paste and appropriate choice of the mix
and modulate options.

The same basic technique can be used to create music with controlled amounts
of various orders of added nonlinear distortion. Here is worked-out
example:

http://www.pcabx.com/technical/nonlinear/
 
"Paul Stamler" <pstamlerhell@pobox.com> wrote in message
news:Oqwyi.448142$p47.16417@bgtnsc04-news.ops.worldnet.att.net...
Dammit, I've got that paper around here *someplace*.

The paper I'm referring to is by an English author, I think not Reg
Williamson and I think not Self, showing the generation of higher
harmonics
on the application of moderate amounts of feedback in a simple FET circuit
which produces only low-order harmonics without feedback. As the feedback
is
increased the high harmonics get smaller; they're at their worst in
low-feedback circuits. The measurements were real, not simulations.

Meanwhile, as I looked for that $%^$# article, I found this:

www.ucop.edu/research/micro/98_99/98_074.pdf

It's a theoretical discussion of the generation of higher-order IM
products
in feedback amps. The theory is supplemented by simulations, but
unfortunately not by real-world measurements, and the authors note that
their models are oversimplified.
Really? I see an article about sample-and-holds, and the like.
 
Arny Krueger wrote:

"Eeyore" wrote
"Scott Dorsey wrote

It does, because a stage which is audibly blameless by itself may turn
into a sonic disaster when it appears a few hundred times in the signal
path.

The EQ section alone on a Neve V series (and derivatives) has 18 op-amp
stages.

Can't find a schematic for that one, but I'm looking at the schematic of a
Neve 83022EQ which seems to be representative.

http://www.danalexanderaudio.com/neveinfo/83049/83022EQ.jpg
Yes at a casual glance it looks much the same.


There are a ton of op amps, but they aren't all cascaded on the signal path.
For example, 16 op amps are in 4 state-variable filters each composed of 4
stages, plus a helper amplifier.

In actual use, the full bandwidth and amplitude of the output signal of the
equalizer rarely if ever flows through all 16 op amps.
Depending on the cut and boost, the signal may be affected by all of them.

Graham
 
Arny Krueger wrote:

"Robert Latest" <boblatest@yahoo.com> wrote in message

If you put in a FS 1 KHz tone, you get out a nearly FS 1KHz tone, DC that
is 46 dB down, and 2 KHz that is 46 dB down. Run the output back through
again, and you get a nearly FS 1 KHz tone, DC that is still about 46 dB
down, a
2 KHz tone that is about 46 dB down, and a 3 KHz tone that is about 92 dB
down.

Wouldn't you get 4 kHz (2nd harmonic of 2kHz) rather than 3 kHz?

You get both third and fourth. The 4th is another 46dB or so down, or about
138 dB down from the fundamental. I felt safe ignoring it. ;-)

I think that the third harmonic is actually due to the modulation of the DC
term from the first time through. The fourth harmonic is the second harmonic
of the second harmonic, of course.
Where does this DC term come from ?

Graham
 
"Paul Stamler" <pstamlerhell@pobox.com> wrote in message
news:Oqwyi.448142$p47.16417@bgtnsc04-news.ops.worldnet.att.net...
Dammit, I've got that paper around here *someplace*.

Meanwhile, can anyone help my blocked memory? Who the hell wrote that
paper?

Peace,
Paul
Baxendall? in Wireless world magazine about 35 years ago.
Seem to remember the example was a diff amp pair. Article hinged on power
series expansions.
 
"Eeyore" <rabbitsfriendsandrelations@hotmail.com> wrote in message
news:46CAD6DD.E2CBA256@hotmail.com...
Arny Krueger wrote:

"Eeyore" wrote
"Scott Dorsey wrote

It does, because a stage which is audibly blameless by itself may
turn
into a sonic disaster when it appears a few hundred times in the
signal
path.

The EQ section alone on a Neve V series (and derivatives) has 18 op-amp
stages.

Can't find a schematic for that one, but I'm looking at the schematic of
a
Neve 83022EQ which seems to be representative.

http://www.danalexanderaudio.com/neveinfo/83049/83022EQ.jpg

Yes at a casual glance it looks much the same.
Pretty typical for a 4-section parametric eq, plus/minus some details.

There are a ton of op amps, but they aren't all cascaded on the signal
path.
For example, 16 op amps are in 4 state-variable filters each composed of
4
stages, plus a helper amplifier.

In actual use, the full bandwidth and amplitude of the output signal of
the
equalizer rarely if ever flows through all 16 op amps.

Depending on the cut and boost, the signal may be affected by all of them.
No doubt, but it is not the same as every ounce of signal going through all
of them cascaded, no matter what.

And, the channel strips are not usually cascaded, either. This one nets out
to being like 5-6 stages cascaded full time, more if you use EFX.
 
Mr.T <MrT@home> wrote:
"MooseFET" <kensmith@rahul.net> wrote in message
news:1187669490.438547.314920@j4g2000prf.googlegroups.com...
It isn't hard to end up with that many. 1 per band per channel plus a
few will get you to 20 without working at it. To get above 100, you
are talking about a serious amount of more signal processing.

100 op amps on parallel channels is a far different situation than 100 *ALL
in series* with the signal.
Of course in the real world the situation is somewhere in between those
extremes.
Pop the cover on an SSL 4000 some time...
--scott

--
"C'est un Nagra. C'est suisse, et tres, tres precis."
 
"Eeyore" <rabbitsfriendsandrelations@hotmail.com> wrote in message
news:46CAD72E.5423C135@hotmail.com...
Arny Krueger wrote:

"Robert Latest" <boblatest@yahoo.com> wrote in message

If you put in a FS 1 KHz tone, you get out a nearly FS 1KHz tone, DC
that
is 46 dB down, and 2 KHz that is 46 dB down. Run the output back
through
again, and you get a nearly FS 1 KHz tone, DC that is still about 46
dB
down, a
2 KHz tone that is about 46 dB down, and a 3 KHz tone that is about 92
dB
down.

Wouldn't you get 4 kHz (2nd harmonic of 2kHz) rather than 3 kHz?

You get both third and fourth. The 4th is another 46dB or so down, or
about
138 dB down from the fundamental. I felt safe ignoring it. ;-)

I think that the third harmonic is actually due to the modulation of the
DC
term from the first time through. The fourth harmonic is the second
harmonic
of the second harmonic, of course.

Where does this DC term come from ?
A DC term is a natural consequence of a second order nonlinearity. Comes out
of the trig identity for X squared:

Sine squared(x) = 1/2 - 1/2 Cos (2x) = (1 - Cos (2x) ) /2

http://en.wikipedia.org/wiki/Trigonometric_identity#Power-reduction_formulae

Please see "Power-reduction formulae" for second and third orders. As I
recall the CRC tables have them for several orders beyond 3. Or, you can
derive them from the formulae for orders 2 and 3.
 
William Sommerwerck wrote:

I think if you owned better equipment, your views of what constitute good
and bad reproduction might change.
Oh, it absolutely would. No question about it. That wouldn't have to do with
the way the equipment reproduces the sound though. There's more to hearing
than what reaches the ear. What reaches the eye and leaves the wallet has to
do with it as well; I wish people would start acknowledging that.

robert
 
On Aug 20, 10:51 pm, Les Cargill <lcarg...@cfl.rr.com> wrote:
MooseFET wrote:
On Aug 20, 6:13 pm, Mark <makol...@yahoo.com> wrote:
On Aug 20, 6:06 pm, Eeyore <rabbitsfriendsandrelati...@hotmail.com
wrote:

Mark wrote:
Eeyore wrote:
What is the case AIUI is that NFB can create 'new' (higher) harmonics that don't
exist with the open-loop situation. It's down to the maths of how feedback works.
And I am saying NFB CANNOT create new higher harmonics.
And it seems you are incorrect (at least when the amplifier having the feedback applied
has some non-linearity).
Graham
take something like crossover distortiuon for example...

No, I don't want crossover distortion.

How about thinking about a distortion that only adds, lets say the 2nd
harmonic to a sine wave. Think about what happens when that is
enclosed in a feedback loop. You take some of that second harmonic
from the output and feed it back into the input. The nonlinear
circuit takes the 2nd harmonic of the 2nd harmonic giving the forth
and sends that out the output. That forth comes back around and
around and around. A nonlinear cicrcuit that only made 2nd a harmonic
is now resulting in an infinite chain of frequencies.

in an open loop amp, crossover dist. creates lots of harmonics.

add neg feedback and they are all reduced. The high order ones are
not reduced AS MUCH as the low order ones, but they are certainly not
increased (assumming a proper design not on the verge of instability
and assuming the feedback componets themselves are linear, resistors
are usually linear for our purposes).

This is not correct. You have to have an extraordinarily large phase
margin to not have a boost in the harmonic near the gain crossover.

If G is the forward gain from the point where the distortion is made
to the output and H is the rest feedback the math looks like:

G /(1 + GH)

Here's the very ugly bit:

The distortion is often created in the output section making the G
part unity or nearly so. A stable servo loop can have a phase margin
of 30 degrees.

1/(1 + 1 * 1@(180-30)) = 1/(1 - 0.866 + j0.5)

= 1/(0.134 + j0.5)

Take ABS()

ABS(1/(0.134 + j0.5)) = 1/sqrt(0.134^2 + 0.5^2) = 1.93

Even though this amplifier is very stable, the feedback loop doubles
the amplitude of the harmonic near the gain crossover.

So for audio, put the gain crossover way out of band. Right?
That tends to happen if you have a high amount of feedback at the
normal audio frequencies. You want to put the gain crossover high and
use a large amount of feedback so it works out nicely.
 

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