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what induce doublets in gain boosting technique in deed? (Read 8276 times)
xwj623
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what induce doublets in gain boosting technique in deed?
Aug 05th, 2009, 7:34pm
 
i can't quite understand why gain boosting present doublets,
and what induce it in deed.
Though i have read the "A Fast-Settling CMOS Op Amp for SC Circuits with 90-dB DC Gain" , i can't understand the FIG 4.
Are there anyone who explain this to me.
thank you.
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raja.cedt
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Re: what induce doublets in gain boosting technique in deed?
Reply #1 - Aug 5th, 2009, 9:21pm
 
hi,
   have you understand these impedance plots intuitively? i mean how gain boosting impedance curve looks like....if so impedance plot has a zero at the boosted amplifier ugb , and output cap impedance decrease with 20db/dec........Net output impedance is th e parallel  combination of both..so finally impedance has to follow cap impedance .that means you there is no pole and zero..but already there is a zero, so as to compensate that there should be a pole.
   Hope it helps ..if you have any doubts let me

Thanks,
rajasekhar.
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vivkr
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Re: what induce doublets in gain boosting technique in deed?
Reply #2 - Aug 6th, 2009, 12:15am
 
xwj623 wrote on Aug 5th, 2009, 7:34pm:
i can't quite understand why gain boosting present doublets,
and what induce it in deed.
Though i have read the "A Fast-Settling CMOS Op Amp for SC Circuits with 90-dB DC Gain" , i can't understand the FIG 4.
Are there anyone who explain this to me.
thank you.



Hi there,

The net output resistance (note that I stress on the word resistance) of a gain-boosted cascode is approximately

(1+Gboost)*Rout,cascode

At DC, Gboost is very high and it starts to roll-off as the frequency increases and you approach the unity-gain point of the boosting amplifier. Beyond that point, the net resistance flattens to Rout,cascode.

In other words, the impedance is first flat at a high level at very low frequencies, starts to roll off (a pole) and then flattens out again (a zero). This is all the auxiliary loop. In the main amplifier, you have a pole due to the gm of your opamp and the output load cap. So you have a pole-zero doublet.

Note however that the presence of the zero is the more critical part for settling since closed-loop poles are always attracted to open-loop zeros. So as long as you have open-loop zeros at a frequency lower than the closed-loop bandwidth, you will experience settling problems due to these.

By the way, the paper by Bult and Geelen explains the whole thing quite well. Go through it again, and also try Tom Lee's book on RFIC design. He covers this part there as well although not in the context of gain boosting.

Regards,

Vivek
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raja.cedt
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Re: what induce doublets in gain boosting technique in deed?
Reply #3 - Aug 6th, 2009, 1:33am
 
hi vivkr,
            in which contest THLEE has given..i want see it

Thanks,
Rajasekhar.
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vivkr
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Re: what induce doublets in gain boosting technique in deed?
Reply #4 - Aug 7th, 2009, 12:53am
 
raja.cedt wrote on Aug 6th, 2009, 1:33am:
hi vivkr,
            in which contest THLEE has given..i want see it

Thanks,
Rajasekhar.


Hi Rajasekha,

I don't remember exactly but look in the sections dealing with lead/lag compensation. That should be in the chapter dealing with stability and compensation. But you don't need to see the book for that. Just think of a root locus. Here, the closed loop poles start where the open-loop poles were and end where the open-loop zeros were. By the way, this side discussion is now deviating from the original doublet discussion.

Regards,

Vivek
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Re: what induce doublets in gain boosting technique in deed?
Reply #5 - Aug 7th, 2009, 2:21am
 
hi xwj623,
                i think this explanation will help you better, from the fig you see net impedance is the parallel combination of both, so net impedance has to follow minimum of the both...that means you will get a pole at p and from there it has to follow cap impedance so there must no pole and zero furthermore .But in the amplifier Zout we have a pole...that some zero has to be there in the system exactly at the pole of the amp such that it cancels the pole.

Hope this helps

Thanks,
Rajasekhar.
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vivkr
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Re: what induce doublets in gain boosting technique in deed?
Reply #6 - Aug 7th, 2009, 6:49am
 
raja.cedt wrote on Aug 7th, 2009, 2:21am:
hi xwj623,
                i think this explanation will help you better, from the fig you see net impedance is the parallel combination of both, so net impedance has to follow minimum of the both...that means you will get a pole at p and from there it has to follow cap impedance so there must no pole and zero furthermore .But in the amplifier Zout we have a pole...that some zero has to be there in the system exactly at the pole of the amp such that it cancels the pole.

Hope this helps

Thanks,
Rajasekhar.



Hi Rajashekhar,

Unfortunately, your figure is not quite complete and in any case, there is quite a good figure showing how the output impedance varies with frequency in the very first post of this thread, although the doublet itself is not visible from either as I have already mentioned in my first reply.

Regards,

Vivek
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xwj623
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Re: what induce doublets in gain boosting technique in deed?
Reply #7 - Aug 8th, 2009, 6:56am
 
thanks raja. your figure explain the output impedance very clearly.
i have understand it.  :)  
raja.cedt wrote on Aug 7th, 2009, 2:21am:
hi xwj623,
                i think this explanation will help you better, from the fig you see net impedance is the parallel combination of both, so net impedance has to follow minimum of the both...that means you will get a pole at p and from there it has to follow cap impedance so there must no pole and zero furthermore .But in the amplifier Zout we have a pole...that some zero has to be there in the system exactly at the pole of the amp such that it cancels the pole.

Hope this helps

Thanks,
Rajasekhar.

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xwj623
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Re: what induce doublets in gain boosting technique in deed?
Reply #8 - Aug 8th, 2009, 6:57am
 
yes,vivkr.
i agree with you.

vivkr wrote on Aug 7th, 2009, 6:49am:
raja.cedt wrote on Aug 7th, 2009, 2:21am:
hi xwj623,
                i think this explanation will help you better, from the fig you see net impedance is the parallel combination of both, so net impedance has to follow minimum of the both...that means you will get a pole at p and from there it has to follow cap impedance so there must no pole and zero furthermore .But in the amplifier Zout we have a pole...that some zero has to be there in the system exactly at the pole of the amp such that it cancels the pole.

Hope this helps

Thanks,
Rajasekhar.



Hi Rajashekhar,

Unfortunately, your figure is not quite complete and in any case, there is quite a good figure showing how the output impedance varies with frequency in the very first post of this thread, although the doublet itself is not visible from either as I have already mentioned in my first reply.

Regards,

Vivek

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nobody
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Re: what induce doublets in gain boosting technique in deed?
Reply #9 - Aug 9th, 2009, 7:38pm
 
I am with Vivek. The figure provided by xwj623 is from Bult, I believe.
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« Last Edit: Aug 9th, 2009, 10:38pm by nobody »  
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raja.cedt
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Re: what induce doublets in gain boosting technique in deed?
Reply #10 - Aug 9th, 2009, 8:17pm
 
hi vivkr and nobady,
                                 i agree with you..i just want to give a trail with some kind of wage explanation with out going into much circuit details..., in fig i forgot to add doublet at Z.

Thanks,
Rajasekhar.
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