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Mismatch (Read 9064 times)
raja.cedt
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Mismatch
Nov 12th, 2009, 9:19pm
 
hi,
  i have an doubt in the pelgrom paper (exact title is Matching properties of mos transistors, October89,dec jssc ). In the fig 8 he is plotting mismatch in current vs gate voltage, so i agree that at low Vgs  mismatch in current will decrease with Vgs but in fig it seems like it is continuously decreasing, but after some voltage i feel device size would be very less and mismatch due to Vt may be less but mismatch due to W/L will increase. Finally what i feel is curve should go up after some Vgs....so please correct if any thing wrong in my argument.
  if any one don't have this paper, please send a mail to me.

thanks,
rajasekhar.
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Mooraka
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Re: Mismatch
Reply #1 - Nov 13th, 2009, 8:18pm
 
I looked at the plot. I see Ids mismatch decrease with increase in Vgs for a fixed W/L. But in your question you are saying "but after some voltage i feel device size would be very less and...". Can you be more clear on the question?

Ram
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raja.cedt
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Re: Mismatch
Reply #2 - Nov 16th, 2009, 6:22am
 
hi,
   thanks for your reply. What i feel is that in plot the mismatch at constant current, so by increasing voltage we need to decrease mos size..this will increase mismatch due to size.

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Rajasekhar.
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Mooraka
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Re: Mismatch
Reply #3 - Nov 16th, 2009, 9:12am
 
The plot is not at constant current. The label in the graph shows that it is for fixed W/L=20um/20um, Vdd=5V, Vsb=0V, Vto=0.85V.

ram
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Re: Mismatch
Reply #4 - Nov 17th, 2009, 2:12pm
 
December 1989 paper? The technology has changed so much is this even relevant anymore?

A lot of matching properties are tied to specifics of the process.

As a general rule, bigger devices means better matching, but beyond that it is not wise to draw generalities.

-Jerry
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raja.cedt
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Re: Mismatch
Reply #5 - Nov 17th, 2009, 8:53pm
 
hi Jerry,
             you are correct man, but i came to industry very recently, here after running Monte i am not able to understand any result, so i am trying to learn some mismatch analysis. can you suggest any reference which will some estimation for present day process?

Thanks,
Rajasekhar.
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ywguo
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Re: Mismatch
Reply #6 - Nov 17th, 2009, 9:50pm
 
Hi Jerry,

I looked that paper again. Figure 8 is Ids mismatch vs Vgs for a fixed W/L transistor. The mismatch current Ids decreases when Vgs increases. The mismatch of the threshold voltage δ(Vth) is one important factor that affects δ(Ids). However, δ(Vth) becomes a smaller portion when Vgs increases. So I think this is a general rule now. Do you agree on my opinion?


Best Regards,
Yawei
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Mayank
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Re: Mismatch
Reply #7 - Nov 18th, 2009, 4:04am
 
Hello,
           I agree with ywguo as far as you consider only vds mismatch and ignore all other device mismatches....As vgs increases, delta Vt becomes a smaller proportion and hence mismatch improves...
  ...Considering device size mismatches, larger the device, larger the lengths, lesser the mismatches...
 ....These could be taken as general rules...

@ raja : As for mismatch, i monte-carlo the design over 200-300 runs & take 3-sigma or 5-sigma variation...

--mayank
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rajdeep
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Re: Mismatch
Reply #8 - Nov 18th, 2009, 4:22am
 
Quote:
larger the device, larger the lengths, lesser the mismatches...  


What I knew, larger the area, lesser is the mismatch. So even keeping L same, if I increase W, mismatch should reduce. Does it have more impact if we increase L, rather than W?

Just wonder, if for same area increase is it more prudent to increase both W and L, rather than increasing only one of them? Well, I think that anyway has to be done, as W/L ratio will be governed by something else. But  just wondering if no such restriction is there on the ratio!!  :-/

Rajdeep
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Mayank
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Re: Mismatch
Reply #9 - Nov 18th, 2009, 6:13am
 
@ rajdeep :

1 -->  Larger the device, lesser the mismatch....
2 -->  Larger the length, lesser the channel-length modulation effect, means larger the ro, so lesser the mismatch in ro coz of mismatch in farication of L....
3 -->  W/L ratio is governed by your ckt design, while mismatch dictates your Area, so since the ratio is fixed, you generally have to increase L. You can also change W/L ratio to improve mismatch and save on area but then you relax on some spec,say vgs/vds/ro of that particular MOS.

-->  Didnt understand the second para of your post   Quote:
Just wonder, if for same area increase is it more prudent to increase both W and L, rather than increasing only one of them? Well, I think that anyway has to be done, as W/L ratio will be governed by something else. But  just wondering if no such restriction is there on the ratio!!  :-/


 For same area, how can you increase both W & L ? Cheesy One has to decrease to increase the other....
 For answer on W/L restrictions, see point 3.

--mayank
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rajdeep
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Re: Mismatch
Reply #10 - Nov 18th, 2009, 7:11am
 
Hmm!! you missed the word 'increase'.  :P I said for same area INCREASE. Now  we can  increase both W and L as area A = W * L, or either W or L. Since in almost all cases, W/L will be decided by something else,  I understand both W and L have to be increased. My question was given an option which one should be increased to minimize mismatch? W or L?

I guess the ans is L as you have mentioned the channel length modulation effect. Was just curious to know abt it.

cheers!
Rajdeep
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Re: Mismatch
Reply #11 - Nov 18th, 2009, 6:55pm
 
rajdeep wrote on Nov 18th, 2009, 7:11am:
Hmm!! you missed the word 'increase'.  :P I said for same area INCREASE. Now  we can  increase both W and L as area A = W * L, or either W or L. Since in almost all cases, W/L will be decided by something else,  I understand both W and L have to be increased. My question was given an option which one should be increased to minimize mismatch? W or L?

I guess the ans is L as you have mentioned the channel length modulation effect. Was just curious to know abt it.

cheers!
Rajdeep


There is an important point you are missing here. The criteria for reducing mismatch depends on whether you are considering (1) a current mirror or a (2) diff pair

Just assuming threshold mismatches we have...

Case (1):

ΔI = I1-I2 ≈ gm ΔVTH (neglecting ΔVTH^2 term since it is supposed to be small)

Therefore current mismatch is proportional to gm.....proportional to W!!!. Definitely L is the one to be increased (and then increase W accordingly to keep the same gm as originally)

Case (2):
ΔVTH is directly "at the input" so here in principle is valid to increase either W or L (area at the end of the day). However, the diff pair load mismatches will create a ΔI that will be "reflected" to the input through the diff pair gm ---> we want large gm!!! -->
Input voltage offset is inversely proportional to gm


So in this case it is convenient to increase W (thus increase both area and gm)

Hope this helps
Tosei
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Mayank
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Re: Mismatch
Reply #12 - Nov 18th, 2009, 9:11pm
 
Thanx Tosei,
                Your answer explains it all....
mayank.
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rajdeep
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Re: Mismatch
Reply #13 - Nov 19th, 2009, 1:15am
 
Hi Tosei!

Spot on! Thanks a lot!

But isnt it, that in the case of a diff amp (i guess in every case), the gm of the input pair will be determined by the other specs (gain, ugb,noise)? That will fix the W/L. So any area increase to improve matching, can be done by increasing both W and L (since W/L is already fixed), in all practical situations of designing a diff amp. But I appreciate your point of view, as I myself asked, given a choice (as if W/L is not fixed) what is preferred . And I agree with you that in case of diff amp one would like to increase W, rather than L  for higher gm, quite opposite to what one would do in case of current mirror!!

Thanks again!
Rajdeep
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raja.cedt
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Re: Mismatch
Reply #14 - Nov 20th, 2009, 7:33am
 
hi rajdeep,
               always mismatch and noise in current mirror and diff amp are quite opposite, see in current mirror if you want less mismatch in current, keep your overdrive less,where as in diff amp you need less overdrive.
              if you calculate properly mismatch in % of current it is  independent of width

Thanks,
Rajasekhar.
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