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gain boost (Read 326 times)
ontheverge
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gain boost
Oct 20th, 2010, 1:56am
 
Hi,

I know gain in gain-boosting stage is ~ gm1*ro1*gm2*ro2*av (or equivalently, Rout~=ro1*gm2*ro2*av. can anybody help derive it for me?

thanks,

Steve
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raja.cedt
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Re: gain boost
Reply #1 - Oct 20th, 2010, 5:59am
 
hi,
its difficult to explain like this, but still i will try.
gain=effective gm*Rout. Effective gm=gm1.
Rout=gm2*r02*r01 but due to gain boosting gm2 will be magnified by Av, so Rout=gm2*R02*Av*R01.
Hence total gain=gm1*gm2*r01*r02*Av

Why don't you try with small signal analysis..

Thanks.
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anil reddy
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Re: gain boost
Reply #2 - Oct 20th, 2010, 11:21am
 
hi,

Replace everything with their small-signal equivalent and try...

do separate analysis for Rout and Gm..then it is easier to understand why the gain turned out to be that value...

best regards...
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ontheverge
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Re: gain boost
Reply #3 - Oct 20th, 2010, 4:19pm
 
small signal analysis seems the way to go (unless by inspection?)

I was able to find component values, but not sure what KVL or KCL should we use to get it solved, any help?
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anil reddy
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Re: gain boost
Reply #4 - Oct 21st, 2010, 5:59am
 
hi,

first of all, i would suggest you to read analog cmos circuit design by razavi. there is a nice explanation in the book regarding gain boosted cascode...if you go through the amplifiers chapter you will come to know what should be applied to get it solved...

good luck...

best regards...
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aamar
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Re: gain boost
Reply #5 - Oct 22nd, 2010, 3:25am
 
you can simply understand this amplifier as 3 stages of amplification.

the first is the M1 transistor which sees at its drain a small signal voltage (e.g. V1) equal to the Vi multiplied by the M1's gain (A1) and is equal to gm1xro1.

This signal V1 is amplified again by Av  and applied to the gate of M2, so the gate voltage of M2 is simply V1xAv

The third stage is M2 which has a Gate Source voltage equal to V2-V1, however V2 is much larger than V1 so that it can be ignored for simplification. Then the drain voltage of M2 in this case is V2 multiplied with M2's gain (A2) which is nothing else than gm2xro2.

As a result the Vo is then  VixA1xAvxA2, and hence the A=Vo/Vi=A1xAvxA2 or gm1xro1xAvxgm2xro2

best regards,

aamar
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analog_wiz
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Re: gain boost
Reply #6 - Jul 6th, 2011, 2:42am
 
Look into Baker Li cmos circuit design. He has derived it.You can also do the same intuitively Its like a usual cascode but the cascode's impedence is A*r0 instead of the usual r0.


Amarnath
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weber8722
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Re: gain boost
Reply #7 - Jul 8th, 2011, 4:08am
 
Hi,

a very nice tool for this is Symbolic Spice, SSPICE. It is an old DOS program and gives analythic results like this on any circuit.

Cheesy Smiley

Bye Stephan
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Larry_80
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Re: gain boost
Reply #8 - Jul 9th, 2011, 6:49am
 
Could someone pls explain to me AC wise how the feedback for the NMOS boosted transistor is negative and in the same token, if we had boosted a PMOS, we would have put the feedback inthe positive terminal of the ideal amplfier.
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raja.cedt
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Re: gain boost
Reply #9 - Jul 9th, 2011, 9:16pm
 
hi,
please refer basic micro-electronics books by razavi. Here FB works like if source of nmos M2 decreases then op-amp will decrease it's gate, BTW feedback polarity independent of nmos or pmos.

Thanks.
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hsh22
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Re: gain boost
Reply #10 - Aug 1st, 2011, 9:25am
 
you can use the small signal analysis
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Larry_80
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Re: gain boost
Reply #11 - Aug 5th, 2011, 11:56am
 
raja.cedt wrote on Jul 9th, 2011, 9:16pm:
hi,
please refer basic micro-electronics books by razavi. Here FB works like if source of nmos M2 decreases then op-amp will decrease it's gate, BTW feedback polarity independent of nmos or pmos.

Thanks.


Hey, so is the polarity of the feedback for the gain boost diagram posted by author Positive?
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raja.cedt
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Re: gain boost
Reply #12 - Aug 6th, 2011, 6:06am
 
hello,
it's -ve fedback. Just cke what's the total phase shift around the opamp at DC.

Thanks.
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