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a
b
y
1
y
2
R
1
I
1
I
2
z
−
DO-DDCC
V
2
y
1
z
+
V
1
z
−
I
in
MDO-DDCC
y
3
y
3
V
in
y
2
x
z
+
x
R
2
C
R
1
R
2
C
Fig. 14.25 (a) Floating lossy inductance simulator using single DO-DDCC (b) Grounded lossless
inductance simulator using MDO-DDCC [
47
]
14.21 Floating Lossy Inductance Simulators Using a Single
DO-DDCC and a Grounded Capacitor
Figure
14.25
shows a floating lossy inductance simulator and a grounded lossless
inductance simulator proposed by Ibrahim et al. in [
47
] employing a dual-output
DDCC (DO-DDCC) and a modified DO-DDCC (MDO-DDCC). The circuit of
Fig.
14.25a
realizes a floating lossy inductance using two resistors and a grounded
capacitor employing a DO-DDCC while Fig.
14.25b
simulates a grounded lossless
inductance using two resistors and a grounded capacitor using a MDO-DDCC.
Assuming ideal DO-DDCC, the short circuit admittance matrix of the circuit of
Fig.
14.25a
can be obtained as:
1
where
R
eq
¼
1
R
eq
þ
1
sL
eq
1
½
¼
Y
R
1
R
2
k
and
L
eq
¼
CR
1
R
2
ð
14
:
46
Þ
11
Thus, from equation (
14.46
), a floating parallel R-L is realized.
Similarly, a routine circuit analysis of the circuit of Fig.
14.25b
gives its input
impedance as:
V
in
I
in
¼
2
sCR
2
Z
in
¼
for
R
1
¼
R
2
¼
R
ð
14
:
47
Þ
Therefore, from equation (
14.47
), it is seen that a grounded lossless inductance of
value
L
eq
¼
2
CR
2
has been simulated.
The SPICE simulations have indicated that using DO-DDCC and MIDO-DDCC
obtained from modifications of the CMOS DDCC architecture of [
61
] with bias
voltage of
m TSMC CMOS technology,
the operational frequency range of the FI has been found to be 10-400 KHz and that
of the GI as 5-700 KHz.
1.5 V DC and model parameters of 0.35
μ
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