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AN4092 데이터시트(PDF) 27 Page - STMicroelectronics

부품명 AN4092
상세설명  Low to mid range engine management
PDF  38 Pages
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제조업체  STMICROELECTRONICS [STMicroelectronics]
홈페이지  http://www.st.com
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AN4092 데이터시트(HTML) 27 Page - STMicroelectronics

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AN4092
ADC
Doc ID 023080 Rev 2
27/38
When the conversion switch closes, the charges between the capacitors are shared,
producing a new voltage that depends upon the initial voltages and the size of the
capacitors. This process takes places at the rate of the internal ADC time constant (RswCs).
At the same time the charge share voltage starts to recover towards the actual sample
voltage at the rate of the external RC time constant Rf(Cf+Cp). Even if the two processes are
interdependent, they can be treated as separated, as long as the internal time constant is
much smaller than the external one.
Being Vs the sample voltage and V1 the voltage after the charge sharing:
Equation 5
Therefore:
Equation 6
happening with an exponential law which time constant is:
Equation 7
Then the voltage V1 recovers exponentially towards Vs with the time constant:
Equation 8
Normally the latter is much larger than the first. This gives us the final constraint:
C
f
C
p
+
()V
s
C
f
C
p
C
s
++
()V
1
=
V
1
C
f
C
p
+
()
C
f
C
p
C
s
++
--------------------------------Vs
=
τ
1
R
swCs
=
τ
2
R
f Cf
C
p
+
()
=



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