Hardware Reference
In-Depth Information
current-controlled grounded and floating resistors, summers, subtractors, instru-
mentation amplifiers, universal CM/VM/mixed-mode biquad filters, sinusoidal
signal generators, precision rectifiers, frequency doubler, multipliers/dividers,
squarers and square rooters etc. Significant developments taken place on the design
of CCCIIs in bipolar/CMOS/BiCMOS technologies have also been elaborated.
9.2 Bipolar/CMOS/BiCMOS CCCIIs
In this section, we take a look into the various bipolar/CMOS and BiCMOS
architectures of the CCCIIs evolved in literature. In order to simplify the circuit
diagram representations which employ a number of bipolar/MOS current mirrors
(CM) and current repeaters (CR), we would be using the symbolic notations of the
CMs and CRs as given in Fig.
9.1
.
CCCII is the second generation CC in which the finite non-zero input resistance
at port-X (R
x
) is taken into consideration. The basic translinear CCCII circuit
proposed by Fabre et al. [
1
,
2
] employs a mixed-translinear-cell (MTC) comprising
of transistors Q
1
-Q
2
-Q
3
-Q
4
and is shown in Fig.
9.2
.
A straight forward analysis of the circuit of Fig.
9.2
shows that it is characterized
by:
i
y
¼
0
ð
9
:
1
Þ
ν
y
ν
x
V
T
¼
i
x
2
I
B
i
x
2
I
B
, for
i
x
<<
Sin
h
1
2
I
B
ð
9
:
2
Þ
V
T
2
I
B
and
i
z
¼
or
ν
x
ν
y
þ
i
x
R
x
where
R
x
¼
i
x
ð
9
:
3
Þ
From equation (
9.3
), it follows that R
x
is
electronically-tunable
through the exter-
nal DC bias current I
B
. With
2.5 V, this circuit exhibits a voltage gain of
0.9984, a current gain of 1.022 with a 3-dB bandwidth of about 615 MHz [
2
]. The
symbolic notation and simplified equivalent circuit of a CCCII are shown in
Fig.
9.3
.
In the following sections, we demonstrate how a CCCII+ or CCCII
V
¼
or a
combination of both can be used to realize a number of useful electronically-
controllable linear as well as non-linear circuits. It may be mentioned that from
the circuit of Fig.
9.2
, a CCCII
can be obtained by breaking the link at the junction
of Z-terminal and adding one more pair of current mirrors in a cross-coupled
manner.
A CCCII can also be realized by CMOS architecture analogous to that of Fig.
9.2
as shown Fig.
9.4
which was introduced by Chaisricharoen et al. [
3
].
The basic translinear cell consisting of M
n1
,M
n2
,M
p5
,M
p6
in the above CMOS
implementation is analogous to the bipolar MTC. This cell is redrawn as a core of
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