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I 0
y
z-
1
x
z+
C 1
R 2
I 3
I 2
z+
y
I 1
2
z-
x
R 1
C 2
R 3
Fig. 12.50 CM biquad employing all grounded passive elements proposed bySenani [ 131 ]
LPF:
if I 1 ¼
I 2 ¼
0 and I 3 ¼
I in ; BPF:
if I 3 ¼
I 2 ¼
0 and I 1 ¼
I in ; HPF:
if
I 1 ¼
I 2 ¼
I in and I 3 ¼
0 along with R 1 ¼
R 2 ; Notch: if I 1 ¼
I 2 ¼
I in ¼
I 3 along with
R 1 ¼
R 2 .
Wang- Lee MIMO-type biquads In Fig. 12.51 Wang and Lee [ 133 ] proposed two
versatile MIMO biquads in which either a three input single output or a single input
three output universal filter circuit can be obtained. Assuming CCs to be ideal, the
expressions for output currents in terms of input currents for the Fig. 12.51a can be
obtained as:
R 2 and APF: if I 1 ¼
I 2 ¼
I in ¼
I 3 along with R 1 /2
¼
C 2 R 2
I 3 s 2
1
1
C 1 C 2 R 1 R 2
I 2 s
þ
I 1
I 01 ¼
ð
12
:
179
Þ
Ds
ðÞ
C 1 R 1
1
1
C 1 C 2 R 1 R 2
ð
I 1
I 3
Þ
s
þ
ð
I 1 þ
I 2
Þ
I 02 ¼
ð
12
:
180
Þ
Ds
ðÞ
and
C 1 R 1
1
s 2
ð
I 3
I 1
Þ
s
þ
ð
I 2 þ
I 3
Þ
I 03 ¼
ð
12
:
181
Þ
Ds
ðÞ
where
þ
1
R 2 C 2
1
C 1 C 2 R 1 R 2
s 2
Ds
ðÞ¼
þ
s
ð
12
:
182
Þ
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