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a
I
B1
I
B3
X
X
I
2
V
1
I
1
1
R
5
3
Z
1
Z
1
V
2
Y
Y
CCCII−
CCCII−
I
B2
I
B4
Z
Z
C
C
Y
4
2
Y
X
X
CCCII+
CCCII+
b
sL
1
sL
2
I
1
I
2
+
+
V
2
V
1
sM
−
−
Fig. 9.24 A tunable synthetic transformer [
21
](a) the circuit (b) its equivalent
9.8 Electronically-Controllable Multifunction Voltage
Mode Biquad
Whereas a majority of works have dealt with CM biquads, a number of voltage-
mode biquads using CCCIIs have also been advanced by various researchers. We
now show a very compact circuit, realizable with only two CCCIIs along with a
minimum number of capacitors, as proposed by Parveen et al. [
22
]. This circuit is
shown in Fig.
9.25
and can realize all the five standard filter functions by taking
different conditions/relationship between the various inputs applied to the circuit as
shown in Fig.
9.25
.
An analysis of this circuit reveals that the output voltage of this circuit is given
by:
s
2
V
4
þ
1
1
1
V
1
R
x
1
R
x
2
C
1
C
2
s
R
x
2
C
2
V
3
R
x
2
C
2
V
2
þ
C
2
R
x
1
V
1
þ
V
0
¼
ð
9
:
26
Þ
s
2
1
1
R
x
1
R
x
2
C
1
C
2
þ
s
C
2
R
x
1
þ
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