A5191HRTNGEVB
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17
Figure 22. Sample Master Implementation
OPA
3V
R
1
R
7
R
2
R
4
R
5
R
6
Q
1
U
1
R
3
C
1
C
2
U
2
nRTS
AREF
TxA
ADC
Loop +
Loop −
APPENDIX
Calculation of a three Pole Sallen−Key High Pass Filter
The first stage of the receive filter uses a three pole active
high pass filter with a topology similar to the one shown in
Figure 17. We will derive the transfer function of this filter
below. We will denote the gain configured with R
A
and R
B
as K.
Resistors R
3A
and R
3B
serve only to bias the amplifier
input in DC, and can for the rest of the calculations be
considered parallel and replaced by one resistor:
Using Kirkhof’s current law, we get in the three nodes of the filter:
(eq. 1)
(eq. 2)
(eq. 3)
Solving Equations 1 and 3 for V1 resp. V2 we find:
(eq. 4)
(eq. 5)
For Equation 2 we find:
(eq. 6)
Or, with the substitution: