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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