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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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