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Capacitor Matching (Read 8330 times)
Faisal
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Capacitor Matching
Aug 07th, 2006, 5:45am
 
Hi,

It is stated in different papers that the capacitor matching accuracy is of the order of 0.05 to 1 percent and its difficult to acheive a higher accuracy. On the other hand, my fab user manual states a formula through which I can acheive better matching accuracy than this number (theoretically) ?

I do understand that there are capacitor layout techniques (in our control) and some fabrication phenomenon (undercut, overetching etc).. But still I cannot find a reasonable explantion for this discrepancy ?
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loose-electron
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Re: Capacitor Matching
Reply #1 - Aug 8th, 2006, 2:24pm
 
Capacitor matching is pretty good on chips, but I would never ask for more that 1-2% - better than that and the architecture is too dependent on matching.

How many capacitors do you need to match?

A couple of pointers:

- Use a "unit cell" capacitor, all the same size and shape.
- Build your total capacitors out of paralllel arrays of these devices.
- Make the capacitors square to minimize perimeter length.
- Surround all caps with (exactly the same for all devices, using the same layers as the capacitor plates) perimeter ring.
- Ground out the perimeter ring.
- Make your unit cell capacitor 50% of the smallest capacitor needed. (That way you need 2 unit cells minimum in each full capacitor.)
- Interleave your unit cell capacitors. in a checkerboard pattern. (think common centroid layout concepts here.)
- Account for your metal interconnect parasitics carefully.

hopefully that should help some,
good luck with it,
Jerry

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ACWWong
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Re: Capacitor Matching
Reply #2 - Aug 9th, 2006, 1:48am
 
Faisal wrote on Aug 7th, 2006, 5:45am:
Hi,

It is stated in different papers that the capacitor matching accuracy is of the order of 0.05 to 1 percent and its difficult to acheive a higher accuracy. On the other hand, my fab user manual states a formula through which I can acheive better matching accuracy than this number (theoretically) ?

I do understand that there are capacitor layout techniques (in our control) and some fabrication phenomenon (undercut, overetching etc).. But still I cannot find a reasonable explantion for this discrepancy ?


I used a kit recently which according to the matching formulae provided for MIM matching, they can achieve 3 sigma match at 0.06% for a square 31umx31um (2fF/um^2 so 2pF) degrading to 0.2% for 10umx10um.
i'm was a bit sceptical of the formulae as it sounded a bit too good.... but maybe its becoming more true now in well controlled MIM fab steps. Tolerance is typically still at 10~15% for MIMs in most processes.

Anyway I would tend to agree with loose-electron, if you need much better than 1%, then your archtiecture is too demanding... The data of 0.2% 3 sigma quoted by the fab I was using did stipulate those results were obtained using the best matching layout practice across adjacent devices... over say a big switch-cap ADC where inevitably you use alot of caps over a large area, then the 1% rule of thumb is probably still useful, and will definately force you into designing a more robust circuit.

In addition to the notes provided by loose electron, i would add that you also need to be careful of automatic metal pattern fill or metal cheesing, which if not blocked by the user or manual implemented, can cause signficant mismatch MIM parasitic and hence MIM value. For more detail please see the related link to another post on this forum:
http://www.designers-guide.org/Forum/YaBB.pl?num=1146378302

cheers
aw
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loose-electron
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Re: Capacitor Matching
Reply #3 - Aug 9th, 2006, 12:22pm
 
AW -

Excellent point on the fill patterns. This especially is a bigger issue with copper, CMP methods, and the "persnickety" Cheesy design rules to keep copper layers happy. Aluminum was a lot less fussy.

Three sigma at .06% ???
I will not drink that koolaid, no way.

What foundry claims this and on what processes?
Part of what I do is tear apart bad model situations, and running into these kinds of claims gives weight to the adage  "don't beleive everything that you read, see or hear"

thanks,
Jerry
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Re: Capacitor Matching
Reply #4 - Aug 9th, 2006, 5:20pm
 
loose-electron wrote on Aug 9th, 2006, 12:22pm:
Three sigma at .06% ???
I will not drink that koolaid, no way.

What foundry claims this and on what processes?
Part of what I do is tear apart bad model situations, and running into these kinds of claims gives weight to the adage  "don't beleive everything that you read, see or hear"


Yes, I didn't believe it either, and i spent a bit of time examining the formulae, looking for why i might be an order of magnitude out...  i didn't find one of the usual classic mistakes like units or % instead of decimal. I did however notice the formulue had no input for dielectric uniformity, so i guess the mismatch values are reasonable when one only considers metal area mismatch... anyway i ignored the fab guide and i went back to my usual design method... the biggest unit cap i could get away with, without the parasitic being a problem... Faisal, I advise you to do the same unless your mismatch formula has covered all bases.

Anyway can't really quote the foundry, but its 0.13um CMOS MIM (nitride dielectric on M5).

cheers,
aw
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Faisal
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Re: Capacitor Matching
Reply #5 - Aug 10th, 2006, 9:08am
 
Thanks. for the replies.

Yes the application is demanding in the sense, that I would like to get the desired accuracy with minimal/without calibration/eror correciton.

I am using linear poly1-poly2capacitors (quoted as cpolylin) and the capcitor matching (sigma) = 1.3 % um / sqrt (W.L), so according to this formula even for a small capacitor lets say 10um * 10um, I should be getting 0.2 % capacitor matching. By making the capacitor area larger, this should get better theoretically (Also this is an analog process)

What I could glean from the literature is that there are two types of capcitor mismatches. The fab number is giving random mismatch and my layout quality will determine the systematic offset. Combined together this will determine the capacitor matching accuracy.

I am looking forward for comments



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loose-electron
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Re: Capacitor Matching
Reply #6 - Aug 10th, 2006, 11:32pm
 
Yes, I didn't believe it either, and i spent a bit of time examining the formulae, looking for why i might be an order of magnitude out...


Hm, ok, well, matching issus usually don't have a lot to do with easly dumped into equation type of thinking. Your "cautious pessimism" was a good thing.

Got to always question the foundry data, especially with digital centric foundries.

Jerry
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Re: Capacitor Matching
Reply #7 - Aug 15th, 2006, 8:09pm
 
Hi guys,

Metal pattern fill makes me headache. For some 0.13um process, it requires metal density from 15% to 82% in each 200um X 200um squares with 100um step from the origin. It is so difficult that designers cannot repair all metal density errors manually.

The first time I designed ADCs using 0.13um process, the foundry put many metal dummy in my chip, outside and inside my ADC. On that chip there are two similar ADCs. The measured results show that one is good, the other is bad. Until now I am not clear what's the reason. May I ignore the metal density errors and request not to fill metal patterns any more?


Thanks
Yawei
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Re: Capacitor Matching
Reply #8 - Aug 15th, 2006, 8:40pm
 
With copper metal layers, you need to respect the physical design rules with respect to metal coverage.

This is due to the CMP processes associated with copper layers.
The interleaving of oxide and copper provides physical support during the CMP process.
When metal was Aluminum, it used to be a lot easier.

Suggest, do your own fill patterns layer by layer inside the block you are designing.

Jerry
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Jerry Twomey
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