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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