ingrast said:
I find it essential when examining a circuit never to get bogged down in the orthodox minutia of a discipline (in this case Control) until a vivid appreciation of its first-order workings is understood.
Keep it simple: the (1/A') term appears unnecessary, as it has no equivalent in the circuit or its design philosophy.
I remain unconvinced with your assertion here that a virtually complete cancellation (for practical purposes) of error is unachievable: Mr Cordell has provided a comprehensive demonstration to the contrary.
mikeks said:
A vivid appreciation is not very difficult anyway.
Assume for a moment A'=Ao, where Ao is a constant (eg. nominal, real amplifier gain).
Under this conditions, output of S2 will be exactly the error introduced by A because of its departure from linearity and gain/phase deviations with frequency. Of course we are talking of error scaled to the amplifier input level range.
Assuming the input node S1 is equally perfect and of unity gain (S=1), and setting the correction factor B=1, then what we have as input to the amplifier is the intended input signal Vin plus a correction term exactly opposite to the error introduced by the amplifier (difference between A and Ao).
On the other hand, if A' is other value different from Ao, then the output of S2 will be the "genuine" error plus a clean scaled copy of the desired signal. This copy when reinjected through S1 makes for the gain difference between Ao and A', restoring system gain to A'.
Rodolfo
mikeks said:
Good.
the term 1/A' is not vital to the model, but is convenient in the sense it makes it more general than restricting it to unity.
Perhaps much more important, it allows for a moderate voltage gain in A, which in turn allows for a lower drive level more compatible with high performance front end implementation.
I have not only simulated but built and tested amplfiers (there are some more and vital considerations to account), with results coincident with predictions. This work is what is detailed in the draft currently in the JAES pipeline.
Rodolfo
mikeks said:
I was advised it should take 3 - 4 months for the review process, and it is still to be seen whether it will be accepted for publication.
As for the Lipshitz/Vanderkooy paper, I was advised also by Bob to check it. Do you have an electronic copy? I should greatly appreciate it, my mailing address is ingrast@adinet.com.uy.
Thanks in advance.
Rodolfo
powerbecker said:Hello,
a bit tiresome the theoretical reflection, here a try bare any mathematics...worked though
Regards
Heinz!
Thanks Heinz
Elegantly simple demonstration of the need for unity loop gain across the summers if error cancellation is to occur.
Excellent!
Just post the zipped schematic and op amp models. Cheers
