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I
1
CCa
V
1
y
+
z
+
x
A
1
-
I
2
C
1
R
2
R
1
V
2
+
A
2
CCb
-
x
y
+
z
Fig. 5.43 A floating bidirectional inductor proposed by Maundy et al. [
122
]
Fig. 5.44 An
electronically-controllable
floating lossless inductance
using combination of CCII+
and OTA proposed by
Higashimura and Fukui [
62
]
CCII+
y
x
1
z
+
g
m
R
1
-
C
CCII+
x
y
2
z
5.3.9 Novel FI Circuits Using CCII-Nullor Equivalence
In view of the methods and circuits discussed earlier it is clear that lossy/non-ideal
inductors and FDNRs can be realized with a smaller number of CCs than their ideal
counterparts and many such circuits are known in literature, for instance, see [
13
,
14
,
20
,
24
,
29
,
30
,
32
,
39
,
45
,
49
,
115
,
138
], however, in the following we present a
novel nullor-based methodology which can generate such circuits in a systematic
manner.
The equivalence between a CCII
and three-terminal floating nullor was
employed by Senani in [
56
] to generate a class of new FI structures providing
single resistance tunability of the realized floating inductance value while
employing only two CCII-s along with a bare minimum of only three passive
components, namely,
two resistors and a capacitor. Subsequently,
the nullor
approach has also been used by other researchers as in [
57
,
74
,
76
].
The starting point of the derivation of the circuits presented by Senani [
56
] are
the two nullor models shown in Fig.
5.45
which simulate a parallel RL and series
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