Hardware Reference
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Fig. 14.9 Simulation of FI,
FC, FDNR and admittance
converter proposed by
Minaei et al. (Adapted from
[ 21 ] © 2006 Springer)
I 1
z−
x
V 1
DO-CCII
z
y
+
y
z−
Y 2
DO-CCII
Y 1
x
z
+
Y 3
I 2
V 2
connected at the terminal -X; no capacitors are ever connected at the X-terminals of
the DO-CCIIs, which make the circuit highly suitable for high frequency operation.
14.9 A General Circuit for Converting a Grounded
Immittance into Floating Immittance
A general structure for converting a grounded admittance into a floating admittance
was proposed by Yuce et al. [ 20 ] employing one DO-CCII, one CCII-, one CCII
+ and two passive elements which is shown in Fig. 14.10 . In general, the input
admittance function of a grounded circuit can be expressed as:
a m s m
a m 1 s m 1
þ
þ ...
a 1 s
þ
a 0
y g ¼
ð
14
:
15
Þ
b n s n
þ
b n 1 s n 1
þ ...
b 1 s
þ
b 0
where m and n are arbitrary integer numbers, m
0. Assuming ideal
CCIIs, a routine circuit analysis of this circuit gives the following short circuit
admittance matrix:
0 and n
y g
y 2
y 1
1
1
1
1
½ ¼
Y
¼
k y g
ð
14
:
16
Þ
11
11
R 1
where k
R 2 is a multiplier constant for floating immittance converter. In the
circuit of Fig. 14.10 , if CCII- and CCII + are interchanged, the value of k will be
negative.
A synthetic FI can be realized if we select y 1 ¼
¼
sC 1 ,y 2 ¼
1/R 2 and y g ¼
1/R g
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