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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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