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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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