Hardware Reference
In-Depth Information
CCII 3
CCII 2
CCII 1
Z 3 -
Z 3 -
Y 3
X 3
Y 2
X 2
Z 2 -
Z 2 -
Z 1 +
Z 1 -
Y 1
X 1
i in
i 01
B
A
i 03
i 02
C 2
C 1
R 1
R 2
R 3
Fig. 12.48 The configuration for realizing CM universal biquad and dual-mode Quadrature
oscillator proposed by Abdalla et al. [ 127 ]
R 1 C 2
Ds
1
s 2
1
C 1 C 2 R 2 R 1
s
þ
1
C 1 C 2 R 2 R 1
Ds
i 01
i in ¼
i 02
i in ¼
i 03
i in ¼
ð
12
:
170
Þ
ðÞ ;
ðÞ ;
Ds
ðÞ
n
C 2 R 1
o
þ 1
C 1 C 2 R 2 R 1
s 2
1
s
s 2
Ds
ð
i 02 þ
i 03
Þ
¼
ð
i 01 þ
Þ
i in ¼
i 03
ð
12
:
171
Þ
ðÞ ;
i in
Ds
ðÞ
where
1
C 2 R 3 þ
1
C 1 C 2 R 2 R 1
s 2
Ds
ðÞ¼
þ
s
ð
12
:
172
Þ
(ii) CM/VM quadrature single resistance controlled oscillator (SRCO):
0 and getting
another Z 1 + output terminal from CCII 1 and connecting the same to node (C). Thus,
the output voltages in VM are considered to be the voltage at node (B) equal to v 01
and voltage at node (A) equal to V 02 whereas the output currents in CM are
considered to be (i 01 ) and (i 02 ). A routine circuit analysis of this structure yields
the following characteristic equation (CE) (for both CM and VM quadrature
SRCOs)
The circuit shown in Fig. 12.48 can be modified by making
¼
1
C 2
1
R 3
1
R 1
1
C 1 C 2 R 2 R 1 ¼
s 2
CE
þ
s
þ
0
ð
12
:
173
Þ
:
From the above CE, the condition of oscillation and frequency of oscillation are
found to be:
s
1
C 1 R 1 C 2 R 2
1
2
CO
R 1
R 3 and FO
ð
12
:
174
Þ
:
:
ˀ
Therefore, it is seen that both CO and FO are independently controllable by two
different resistors the former by R 1 and the latter by R 2 .
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