Hardware Reference
In-Depth Information
Fig. 5.29 A generalized
floating impedance
realization proposed by
Toumazou and Lidgey [ 43 ]
i 1
CCII+
CCII+
y
x
1
y
V 1
z
z
x
Z 2
Z 1
Z 4
CCII+
CCII+
Z 3
x
x
y
z
i 2
V 2
z
y
2
Fig. 5.30 The lossless
floating inductor proposed
by Senani [ 35 ]
CCII
I 1
CCII
y
V 1
+
z
y
x
+
z
C
x
B
R 2
C
CCI
CCII
y
x
y
-
z
I 2
x
z
+
V 2
D
R 1
A
Assuming CCII and CCI to be characterized by the following hybrid matrices:
2
3
2
3
2
3
i y
v x
i z
000
h 21 00
0
v y
i x
v z
4
5 ¼
4
5
4
5
ð
5
:
38
Þ
h 32
0
2
4
3
5 ¼
2
4
3
5
2
4
3
5
i y
v x
i z
0 h 12 0
h 21 00
0
v y
i x
v z
ð
5
:
39
Þ
h 32
0
the non-ideal Y- matrix of the circuit is found to be:
"
#
þ
h 21 B
h 21 A
h 32 C h 12 D h 21 D h 21 C h 32 B
sCR 1 R 2
h 21 B h 32 D
h 32 C h 12 D
þ
h 21 A h 32 D
h 32 C h 12 D
½ ¼
Y
ð 5 : 40 Þ
From the above matrix, it can easily be seen that even non-ideally; all the
y-parameters of the circuit still represent lossless inductance i.e. the basic nature
of the Y parameters of the FI remains unchanged even non-ideally. Furthermore,
from the non-ideal matrix above, it can be easily confirmed that the circuit
also enjoys very low active and passive sensitivities all of which are confined to
the range
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