Basic Analog Circuit Building Blocks Using CCs and Application of CCs in Impedance Synthesis - Current Conveyors: Variants, Applications and Hardware Implementations - page 102

a

CCII+

x

I 1 z

y

V 1

C

Z in

R 1

R 2

b c

R 2 CCII−

x
y

R 1

I 1

CCII+

z

I 1

V 1

y

V 1

z

R 1 x

Z in

Y in

C

C

R 2

Fig. 5.22 Low-component-count lossy inductance simulation circuits proposed by Nandi (a) and
(b) from [ 5 ](c) from [ 12 ]

technical literature by a number of researchers. Some of them are almost replicas of
the well-known op-amp-based circuits. Some such circuits are shown in Fig. 5.22
which were proposed by Nandi in [ 5 ] and [ 12 ].
In the first circuit (Fig. 5.22a ), the CCII+ can be readily identified to be
configured as a unity gain voltage follower thereby making it clear that the circuit
is, in fact, a CC-version of the well-known Prestcott circuit based on an op-amp
[ 147 ]. The circuit simulates a series-RL type grounded inductor with L eq ¼ CR 1 R 2

and equivalent resistance R eq ¼ (R 1 +R 2 ).

On the other hand, the circuit Fig. 5.22 b although simulates bilinear inductor
with a series combination of a resistor R a and a parallel-RL consisting of resistive
part R b and inductive part L eq with their values given by L eq ¼

CR 2 (R 1 R 2 ),

R a ¼ R 2 . This circuit can be considered to

be a CC-analog of Berndt-Dutta Roy circuit [ 167 ] but has the advantage of
employing a grounded capacitor over Berndt-Dutta Roy circuit [ 167 ] which
employs a floating capacitance.
In the circuit of Fig. 5.22 c exactly the same number of components have been
employed as in the earlier two circuits while this circuit also simulates series-RL
type grounded inductor with R eq ¼

R 2 and R b ¼ (R 1 R 2 ), subject to R 1 >

(R 1 +R 2 ) but equivalent inductance is given by

L eq ¼ 2CR 1 R 2.

Figure 5.23 shows the generalized form of another single-CC configuration
which was proposed by Soliman [ 10 ] to realize the Ford-Girling [ 148 ] equivalent