SnoopyRocks
100+ Head-Fier
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There seems to be a fair amount of confusion about how to calculate multiloop gain and bandwidth. I did a quick analysis that simplifies the problem into a form that most people here should be able to work with and thus be able to intelligently deviate from the standard resistor values in a multiloop amplifier such as a pimeta or ppa.
MultiLoop.pdf
In general, the simplified expressions on the first page are more than good enough if you are using the topology the way it was intented (i.e. with a high inner loop gain). There are more exact expressions for the feedback factors on the second page which I got by rearranging tohpu's (on headwize) expression for the loop gain. The bottom line is that if R3 is more than 10x larger than the other resistors, it's a waste of effort (IMO) to resort to the more complicated expressions. After all, engineering is not about exact answers. If it were, very little would work in the real world.
<rant>As a side note, I'd just like to say that I'm am not convinced of the multiloop topology's claimed bennefits. Jung's description in the electronic design article amounts to hand waving. That is to say that he does not back up his claims there. If someone has reference to a propper treatment of the topology, I'd like to see it. I do understand that the place where it was published was not appropriate for a rigorous treatment of the topic. Yet, it seems like the bennefits of the jung multiloop architecture are taken as gospel around here without good reason. If anyone has measurements to support jung's claims, I'd like to see those as well. </rant>
Knock yourselves out.
MultiLoop.pdf
In general, the simplified expressions on the first page are more than good enough if you are using the topology the way it was intented (i.e. with a high inner loop gain). There are more exact expressions for the feedback factors on the second page which I got by rearranging tohpu's (on headwize) expression for the loop gain. The bottom line is that if R3 is more than 10x larger than the other resistors, it's a waste of effort (IMO) to resort to the more complicated expressions. After all, engineering is not about exact answers. If it were, very little would work in the real world.
<rant>As a side note, I'd just like to say that I'm am not convinced of the multiloop topology's claimed bennefits. Jung's description in the electronic design article amounts to hand waving. That is to say that he does not back up his claims there. If someone has reference to a propper treatment of the topology, I'd like to see it. I do understand that the place where it was published was not appropriate for a rigorous treatment of the topic. Yet, it seems like the bennefits of the jung multiloop architecture are taken as gospel around here without good reason. If anyone has measurements to support jung's claims, I'd like to see those as well. </rant>
Knock yourselves out.