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C 2 R 2
s 2
s
1
þ
1
C 1 C 2 R 1 R 2
V out 5
V in ¼
forR 1 ¼
R 3
ð
12
:
101
Þ
;
Ds
ðÞ
C 2 R 1 R 2
Ds
R 2
Ds
s
1
s 2
1
I out 1
V in ¼
I out 2
V in ¼
and
ð
12
:
102
Þ
ðÞ
ðÞ
where
R 3
C 2 R 1 R 2
1
C 1 C 2 R 1 R 2
s 2
ðÞ¼
þ
s
þ
ð
:
Þ
Ds
12
103
Case-II if Vin
I in , the various
transfer functions in transresistance mode and CM are given by:
¼
0 (grounded), I 2 ¼
0 (open circuited) and I 1 ¼
C 2 R 2
Ds
R 3
C 1 C 2 R 1 R 2
R 3
s
s 2 R 3
Ds
V out 1
I in ¼
V out 2
I in ¼
V out 3
I in ¼
ð
12
:
104
Þ
;
;
Ds
ðÞ
ðÞ
ðÞ
s 2 R 3 þ
R 3
C 1 C 2 R 1 R 2
V out 4
I in ¼
ð 12 : 105 Þ
Ds
ðÞ
C 2 R 2
s 2 R 3
R 3
R 3
C 1 C 2 R 1 R 2
s
þ
V out 5
I in ¼
forR 1 ¼
R 3
ð
12
:
106
Þ
;
Ds
ðÞ
C 2 R 1 R 2
Ds
R 2
Ds
R 3
s 2 R 3
s
I out 1
I in ¼
and I out 2
I in ¼
ð
12
:
107
Þ
ðÞ
ðÞ
where
R 3
C 2 R 1 R 2
1
C 1 C 2 R 1 R 2
s 2
Ds
ðÞ¼
þ
s
þ
ð
12
:
108
Þ
Case-III if V in ¼
I in then in addition to transfer functions
realized in case-II, the configuration gives the following transfer functions in
CM:
0 (grounded), I 2 ¼
I 1 ¼
s 2
þ
1
C 1 C 2 R 1 R 2
I out 3
I in ¼
and an APF can be obtained by connecting I out1 and I out3, i.e.,
DðÞ
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