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(b) if we select V
i1
¼
V
i2
¼
Vin and V
i3
¼
0, an APF can be realized at V
03
i.e.
n
R
3
R
1
R
2
o
s
2
C
1
C
2
1
1
1
R
1
R
2
R
3
sC
2
þ
V
03
V
in
¼
ð
12
:
18
Þ
Ds
ðÞ
Case II
From equations (
12.12
) and (
12.13
), the following filter responses can be obtained
by proper selection(s) of input signal(s): LPF: V
i3
¼
0, V
i1
¼
V
in
,orV
i2
¼
V
in
and
V
out
¼
V
02
; BPF: V
i1
¼
V
i3
¼
0, V
i2
¼
V
in
and V
out
¼
V
03
; HPF: V
i1
¼
V
i2
¼
0,
V
i3
¼
V
in
and V
out
¼
V
03
; Notch: V
i2
¼
V
i3
¼
0, V
i1
¼
V
in
and V
out
¼
V
03
; APF:
V
i3
¼
0, V
i1
¼
V
i2
¼
V
in
, and V
out
¼
V
03
The angular frequency (
ˉ
0
) and quality factor (Q
0
) of all the filter responses is
given by:
r
1
C
1
C
2
R
1
R
2
ω
0
¼
and
ð
12
:
19
Þ
R
1
R
2
C
1
C
2
r
1
R
3
Q
0
¼
ð
12
:
20
Þ
Thus,
ˉ
0
and Q
0
can be controlled by R
1
and /or R
2
and R
3
, in that order.
Tsukutani-Sumi-Yabuki biquad Figure
12.6
shows a CM biquad filter structure
employing two plus type DO-DVCCs and grounded passive elements. The config-
uration is capable of realizing LPF, BPF, HPF, notch and APF fitter responses by
proper selection of input and output terminals. The filter parameters
ˉ
0
and Q
0
are
orthogonally controllable. Since all passive elements are grounded, the configura-
tion is attractive for IC implementation in both bipolar and CMOS technologies.
I
in1
y
2
z+
DVCC
z+
C
1
y
1
x
I
01
R
1
I
in2
y
2
z+
DVCC
z+
y
1
x
C
2
I
02
R
2
Fig. 12.6 CM biquadratic
filter proposed by Tsukutani
et al. [
7
]
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