Second Generation Applications of Other Types of Current Conveyors in Realizing Synthetic Impedances - Current Conveyors: Variants, Applications and Hardware Implementations - page 480

I in

x p

z −

V in

I i n

x n

DXCCII

V in

y

+

z p

Z in R 1

L eq

C

R 2

Fig. 14.23 DX-CCII-based grounded inductance simulator proposed by Miderizzi et al. (Adapted
from [ 45 ] 2011 Elsevier)

©

14.20 Grounded-Capacitor-Based Floating Capacitance
Multiplier

Prommee and Somdunyakanok [ 46 ] proposed a grounded capacitor-based floating
capacitance multiplier circuit using three current controlled differential difference
current conveyors (CCDDCC) without using any external resistor. Out of the three
CCDDCCs, two CCDDCCs are single output and one CCDDCC is multi-output
type. The CCDDCC is very similar to DVCC except that DVCC has only two Y-
input terminals and CCDDCC has three Y- input terminals. Also, the intrinsic
resistance of X- input terminal of CCDDCC has finite resistance of value Rx
which can be tuned by the bias current. A CCDDCC can be characterized by the
following matrix equation:

2 3 2 3 2 3

V X
I Y 1
I Y 2
I Y 3
I Z

110
00000
00000
00000

R X 1 I x

V Y 1
V Y 2
V Y 3
V Z

4 5 4 5 4 5

¼ ð 14 : 43 Þ

10000

Assuming ideal CCDDCCs, a routine circuit analysis of Fig. 14.24 yields the
following short circuit admittance matrix:

1

R X 2
R X 1

1

½ ¼ Y sC ð 14 : 44 Þ

11

Thus, from above equation, a lossless FC is realized with its capacitance value

r

I B 1
I B 2

¼

R X 2
R X 1

C eq ¼ C C ð 14 : 45 Þ

Therefore, it is clear that C eq can be controlled by the bias currents of CCDDCC1
and CCDDCC2.