Hardware Reference
In-Depth Information
R
3
x
z-
3
DOCC
y
z-
I
03
p
R
2
R
5
V
03
V
01
z-
z-
1
2
y
x
C
1
C
2
DOCC
z-
V
02
DOCC
I
in
y
z+
x
I
01
I
02
R
1
y
z+
DOCC
4
R
4
z+
x
I
04
Fig. 12.55 Dual-mode biquad presented by Singh et al. [
136
]
I
in
2
þ
C
1
R
4
I
in
1
R
2
R
4
s
2
C
1
C
3
I
in
3
N
2
s
ðÞ¼
s
þ
s
2
C
1
C
3
C
1
R
4
R
7
1
R
2
R
4
R
6
D
r
s
ðÞ¼
R
5
þ
s
ð
12
:
195
Þ
From the above equations, the various inverting and non-inverting mixed-mode
filter responses, with input voltage or current and output voltage or current, can be
obtained.
Singh- Singh-Senani biquad The filter configuration presented in Fig.
12.55
uses
four dual output CCs (DOCCs), five resistors and two grounded capacitors [
136
]. If
the current source I
in
deleted and V
in
applied at P, the circuit is essentially the same
VM biquad reported in [
195
], however, if P grounded and I
in
applied, the same
circuit yields the three output currents. Assuming ideal DOCCs, a routine circuit
analysis gives the following current transfer functions:
R
3
1
R
2
s
R
1
s
2
C
1
R
1
I
01
R
5
I
02
R
5
and
I
03
R
5
I
in
¼
C
1
C
2
R
1
R
2
I
in
¼
I
in
¼
where
DðÞ
;
DðÞ
DðÞ
R
5
R
4
R
1
C
1
R
5
R
1
R
2
R
3
C
1
C
2
s
2
Ds
ðÞ¼
þ
s
þ
ð
12
:
196
Þ
By adding I
01
and I
03
a notch filter is realized and adding I
01
,I
02
and I
03
anAPF can
be realized without any additional hardware requirement. The same circuit can also
function as mixed-mode biquad.
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