Hardware Reference
In-Depth Information
C
2
CCII
I
1
CCII
x
V
1
-
z
x
y
z
y
-
I
1
I
2
R
1
I
2
V
2
C
1
V
2
V
1
R
2
Fig. 5.34 A lossless FI proposed by Yuce [
120
] in 2007
The effectiveness of the proposed compensation method has been confirmed by
realizing CCII+ with AD844 and choosing R
1
¼
100 K
ʩ
,R
2
¼
3.162 K
ʩ
and
C
¼
307 nf (with the compensation condition satisfied with R
x
¼
50
ʩ
and
ʩ
ʩ
R
Z
¼
3M
). It has been found that the series resistance reduces from 80
to
ʼʩ
about 11
thereby confirming the validity of the proposed compensation which
also exhibits a considerable operating frequency range extension towards low
frequencies from two or three decades to about six decades.
5.3.6 Two-CC-Based FDNR and FGPIC/FGPII
Implementations
In the previous section, FI circuits were represented which require four or more CCs
to realize a lossless inductance or more generalized impedance convertor. In this
section, we present a collection of a number of interesting circuits which can
perform the same task with no more than two CCs.
The circuit of Fig.
5.34
was proposed by Yuce [
120
]in2007andis
characterized by:
¼
V
1
V
2
1
sL
eq
I
1
I
2
1
1
ð
5
:
44
Þ
11
In the above expression L
eq
¼
C
1
R
1
R
2
is obtainable subject to the fulfilment of a
single matching condition C
2
¼
C
1
(R
1
+R
2
)/R
2
.
It is interesting to point out that a two-CC-based floating FDNR as well as a
number of two-CC-based floating GIC circuits were first proposed more than three
decades ago by Senani in [
40
] and [
47
] respectively, which are shown in Figs.
5.35
and
5.36
respectively.
The circuit of Fig.
5.35
simulates an ideal FDNR having value D
eq
¼
C
1
C
2
R
1
R
2
/
R
3
. Subsequent to the publication of this configuration, Wilson [
44
] used this
configuration to verify his CCII
implementation based upon an operational
mirrored amplifier formulation. The experimental results of [
44
], therefore, con-
firmed the practical validity of this floating FDNR.
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