Hardware Reference
In-Depth Information
Table 6.2 Application of Senani
s transformation T-2 [
35
,
38
]
'
Element in the LC prototype
Transformed elements
Component values
R
0
0
¼
R
0
b
0
;
C
0
0
¼
b
1
R
0
R
0
R
/
C
/
R
0
0
¼
L
0
b
1
;
L
0
0
¼
L
0
b
0
L
0
R
/
L
/
C
0
0
¼
b
0
C
0
;
D
0
0
¼
b
1
C
0
C
0
C
/
D
/
E
Y
X
21
Y
Y
21
Z
+
Y
21
Z
-
X
X
X
21
E
C
a
C
a
R
a
R
a
R
a
R
a
Fig. 6.43 Integrators
The corresponding CCII-based circuits to realize Eq. (
6.63
) are shown in Fig.
6.43
.
x
1
i
x
2
i
Middle terminations
y
1
i
¼
y
2
i
¼
,
i
¼
2, 3,
,
n
ð
1
Þ
ð
6
:
64
Þ
:
...
as
The corresponding CCII-based circuits to realize Eq. (
6.64
) are shown in Fig.
6.44
.
x
1
n
as
Output termination
:
y
1
n
¼
1
¼
V
0
for R
s
¼
R
L
ð
6
:
65
Þ
þ
The corresponding CCII-based circuits to realize Eq. (
6.65
) are shown in Fig.
6.45
.
x
1
n
as
If,
R
s
6
¼
R
L
,
y
1
n
¼
1
¼
V
0
ð
6
:
66
Þ
þ
The corresponding CCII-based circuits are shown in Fig.
6.46
with R
s
¼
R, a
¼
RC
or L/R, and b ¼R/R
L
or R
L
/R.
The design equations are given by:
R
a
R
b
a
¼
R
a
C
a
and
b
¼
ð
6
:
67
Þ
Using the methodology of [
39
], the final circuit for realizing the third-order
Chebychev LPF is shown in Fig.
6.47
.
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