auto tuning

RockeyMurad

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when we are trimming a resistor this permits us to use low tolerance capacitors C+ΔC what exactly is Δc and why we don't have to know it
 

I don't really understand your question. We can tune both resistors and capacitors, if neccessary. In the most of the capacitor-based circuits (for example, capacitive SAR ADC arrays, SC-amplifiers and filters) only the relation between capacitor values matters, i.e. C1/C0 etc. We can keep that relation by using unit-sized caps and matching them in layout.
For example:
C1 = 4*C0
So,
C1/C0 = 4*C0/C0 = 4
Let's add some parasitics:
(C1 + ΔC1)/(C0 + ΔC0) = 4*(C0 + ΔC0)/(C0 + ΔC0)
(4*C0 + 4*C0) /(C0 + ΔC0) = 4

Hopefully, that helps.
 

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