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y
x
CCII+
z
R 6
I in1
C 1
C 3
x
y
x
I in3
CCII+
z
y
z
y
CCII+
z
CCII+
x
R 5
R 2
R 4
x
y
x
CCII-
z
CCII-
R 8
R 7
z
y
I in2
I 0
Fig. 6.36 MISO-type universal CM biquad using CCII+ s proposed by Abuelma
atti and
'
Tasadduq (Adapted from [ 31 ]
1997 Elsevier)
©
I 3 ¼
I 2 ¼
0, I 1 ¼
I in ; BPF: I 1 ¼
I 3 ¼
0, I 2 ¼
I in ; HPF: I 1 ¼
I 2 ¼
0 and I 3 ¼
I in ; Notch:
I 2 ¼
R 7 .
This circuit was experimentally tested using AD844 as CCII+. The results
obtained had excellent agreement with theoretical results.
0, I 1 ¼
I 3 ¼
I in and R 5 ¼
R 6 ; and APF: I 1 ¼
I 2 ¼
I 3 ¼
I in , and R 5 ¼
R 6 ¼
Abuelma ' atti and Al-Zaher Biquad Another three-input-single-output CM
biquad employing four CCIIs+, five grounded resistors and three grounded capac-
itors, which was proposed by Abuelma
atti and Al-Zaher in [ 32 ], is shown in
'
Fig. 6.37 .
This filter configuration offers independent control of filter parameters
ω 0 and
Q 0 through grounded resistors and has low active and passive sensitivities.
Assuming ideal CCIIs+ the expression of the output current in terms of the
various input currents is found to be:
ω 0
s 2 C C 6 I 3
C 6 R 4 I 2 þ
I 1
s
1
1
C 1 C 6 R 2 R 4
R 4
R 7
C 6 R 6
I 0 ¼
ð
6
:
57
Þ
1
1
C 1 C 6 R 2 R 5
s 2
þ
s
þ
From Eq. ( 6.57 ), the following filter responses can be derived: LPF: I 3 ¼
I 2 ¼
0,
I 1 ¼
I in ; BPF: I 1 ¼
I 3 ¼
0, I 2 ¼
I in ; HPF: I 1 ¼
I 2 ¼
0 and I 3 ¼
I in ; Notch: I 2 ¼
0,
I 1 ¼
I 3 ¼
I in with R 5 ¼
R 6 ; and APF: I 1 ¼
I 2 ¼
I 3 ¼
I in along with R 5 ¼
R 4 and
C 3 ¼
C 7 .
The circuit had been practically implementable with AD844 and provides the
following advantages: use of only one type of CCs namely, CCII+, all resistors and
capacitors being grounded, low active and passive sensitivities, independent control
of
ω 0 and band width using grounded resistors and the feasibility of realizing all the
five standard filter functions without any component matching.
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