for_idea said:
Please! These words are not fair to Larry. His advices have help me
last night.
That's decent of you, Zhi. I urge you to apply a filter
to Fred's remarks. Once in awhile, some facts can
be found in his posts, and often those are correct,
and somewhat less often they are also relevant.
As for his comments about me, quite a few are
provably false, so I give the whole lot no heed.
I still have one thing not clear: why the signal from first two stages
is so clean, but after the third one, it suddenly becomes so bad. The
noise is not oscillation, nor interference.
The upper band edge of your amp string is near
68 KHz. (4 MHz op-amp GBW, closed-loop gain
of 50, 3 like stages) With your inter-stage coupling
caps, the lower band edge is near 19 KHz. This
leaves about 49 KHz of bandwidth in the -3 dB
sense. The noise bandwidth is slightly different,
but I'm too lazy to calculate that. (Maybe Fred
will take on that challenge, since it is manly work.)
Near your center frequency, the response will be
about 14 dB down with respect to the ideal value
of 50^3 you would get with higher loop gains and
the HPF's not cutting in from the low end.
If you were to short the input, then, due to the
thermal noise of the input resistor, you would
have an equivalent input noise density of about
sqrt(4 k T R) = sqrt(4 * 1.38e-23 * 300 * 1e4)
or 12.9 nV/sqrt(Hz). Adding to that the input
voltage noise of your op-amp, 16 nV/sqrt(Hz)
typically, (and adding RSS-wise), you should
expect input noise of about 20.5 nV/sqrt(Hz).
If we were going for accuracy, a smidgen could
be added from the feedback resistor, but its
contribution would be lost in the errors already
in this calculation. (Fred might be willing to
enumerate or even quantify them for you.)
Taking the gain of your amp chain, which is
about 24.7e3 in the middle of its passband, the
input noise results in about 506 uV/sqrt(Hz)
noise density at the output. Multiplying by
the square root of bandwidth yields 112 mV
of RMS noise. This last step is not quite
correct because the bandwidth that should
be used (the "noise bandwidth") is a little
different, but it should be close enough to
help you see whether your result is worse
than should be expected.
With your transducer as the input, the noise
could go up or down depending on its source
impedance. That is why you would have to
measure it or take it off the datasheet to see
whether the noise you see with it connected
is what it should be.
Once the input is better characterized, it
will probably be easy to revise the first
stage a little bit to get lower noise.
As for why you do not see the noise on the
earlier stages, that would depend on your
instrument. With a typical o'scope, not being
able to see the 4 mV to be expected at the
2nd stage output is to be expected. And of
course, it's even harder at the 1st stage.
If you peruse the rest of this thread, (with
filters in place, I advise), you will find some
comments about your op-amp choice that
you may find useful. And if you care about
input noise and power consumption, take
suggestions about using CMOS gates as
amplifiers with a degree of skepticism.
The high spikes of the
noise keep giving false alarms to the detection circuit.
I have no idea what that is. Since, (apparently),
you are reaching into the noise floor for signal,
it may be worth your while to post the detector
and solicit ideas for improving it. A tighter
bandpass filter could do some good as well.
[Brasfield's AACircuit directions and link cut.]
[Fred's invective regarding such "advice" cut.]
[Fred's unsubstantiated ad-hominem rant cut.]
[Reply to noise filter output:] Nothing left!