Basic Analog Circuit Building Blocks Using CCs and Application of CCs in Impedance Synthesis - Current Conveyors: Variants, Applications and Hardware Implementations - page 88

Fig. 5.8 Differential
integrator

CCII±

y

V 1

z

1 V 0

x

C 1

R 1

CCII±

x

z

y

V 2

a b

r 1

I 1

CCII±

C 1

I in CCII± CCII±

y
x

I 0

I 0

z y

y

z

z

x

x

C 0

I 2

r 2

R 1 R 0

c

I 1

CCII±

x
y

z

I 2

R 0

CCII±

I 0

CCII±

x

z

x
y

z

y

C 0

Fig. 5.9 Current-mode integrators (a) basic configuration (b) integrator with tunable time con-
stants (c) differential integrator with zero input impedances at both inputs

By a straight forward analysis for the circuit of Fig. 5.9a , the current ratio
transfer function is given by:

I o
I in ¼

1
sC 1 R 1

ð 5 : 14 Þ

whereas for the circuit of Fig. 5.9b the output current is related to the two input
currents by the following equation:

1
sC 0 R 0

r 1
r 2 I 1

I 0 ¼ I 2 þ ð 5 : 15 Þ