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How to calculate Mismatch of  current Mirrors (Read 3590 times)
xwj623
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How to calculate Mismatch of  current Mirrors
Dec 27th, 2007, 6:13am
 
how to calculate or predict the Mismatch of current mirrors in practice design?
we know two formulas in mirrors:  delta(I)/I=delta(W/L)/(W/L)+2*delta(Vth)/(Vgs-Vth)
                                                  delta(Vth)=0.1*tox / [ (WL)^0.5]

I don't know the Mismatch of  delta(W/L)/(W/L)  in practice MOS transistor, I didn't find the answer in kit's  design rule.
What are the rules of thumb on this  term?

As a roughly predict, I calculate the Mismatch like this:
                                                 delta(I)/I=2*delta(Vth)/(Vgs-Vth)
                                                 delta(Vth)=0.1*tox / [ (WL)^0.5]  
                                                 tox=0.35um/50=70A     ( for 0.35um  technology   )
                                                 Vgs-Vth=Vdsat=200mv
  So i get the following roughly formula to predict the Mistach:
                                                 delta(I)/I=14mV/{[ (WL)^0.5]*Vdsat}
                                                              =14mV/{[ (WL)^0.5]*200mV}

Did my couclusion correct or reasonable?
Are there any rules  of thumb about the Mismatch of current mirrors?
Thanks for help.   Smiley
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ywguo
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Re: How to calculate Mismatch of  current Mirrors
Reply #1 - Dec 28th, 2007, 2:57am
 
Hi,

I don't know how you derive the formula delta(Vth)=0.1*tox / [ (WL)^0.5]. There is a paper titled matching properties of MOS transistors, by M. J. Pelgrom, in Oct. 1989 issue of JSSC. It guides the mismatch analysis in circuit design. Most foundries provides the measured matching data based on the theory and formulas in that paper.


Yawei
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xwj623
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Re: How to calculate Mismatch of  current Mirrors
Reply #2 - Dec 28th, 2007, 8:11am
 
Hi

I derive the formula " delta(Vth)=0.1*tox/[ (wl)^0.5 ] mV " from  "Design of analog cmos IC" by razavi,2001.  In chapter 13,  page 465,  equation 13.62.   Smiley
 
It seems that razavi also referenced the paper you adivsed. Smiley

Thanks.
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