Hardware Reference
In-Depth Information
Fig. 5.25 A circuit for
simulating a series RL type
floating inductance without
component-matching as
proposed by Singh [ 19 ]
I 1
CCII
V 1
y
-
x
I 2
V 2
z
C
R 1
R 2
i 1
R 1
V 1
1
CCII
C
x
y
z
-
L
r a
2
1
R 2
i 2
r b
V 2
2
Fig. 5.26 Bilinear floating inductor proposed by Nandi and Nandi [ 36 ]
Thus,
this grounded inductor circuit has the attractive feature that
it
is
completely insensitive to active parameter variations.
(b) If instead, terminals 1-1 / are short-circuited one obtains Soliman
s Ford-Girling
equivalent circuit realization [ 10 ] with equivalent inductance and resistance
still given by the same values. Soliman
'
s circuit [ 10 ] is more advantageous in
realizing an FDNR in parallel with a capacitance, owing to the use of both
grounded capacitors which is a preferable feature from the point of view of
integrated circuit implementation.
'
At about the same time, Singh [ 19 ] reported a single-CC circuit independently
which employs exactly the same number of active and passive components but
simulates a floating series RL impedance without requiring any component-
matching condition. This circuit from [ 19 ] is shown in Fig. 5.25 .
The equivalent resistance (R eq ) and inductance (L eq ) for this circuit are given by
R eq ¼
CR 1 R 2 .
A non-ideal analysis of this circuit, however, shows that the non-ideal parame-
ters of this circuit are quite complex in contrast to the circuit of Fig. 5.24 and as a
consequence, all the sensitivity coefficients of this circuit are not low .
In 1983 (i.e. exactly 4 years after the introduction of the single CCs FI by Senani in
[ 16 ] and Singh in [ 19 ]) Nandi and Nandi in [ 36 ] reported another single CCII-based
circuit with similar property but their circuit could realize only a bilinear floating
inductor with r a ¼
(R 1 +R 2 ), L eq ¼
R 1 ,r b ¼
(R 2
R 1 )andL
¼
CR 1 R 2 . This circuit is shown in Fig. 5.26 .
 
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