Analog Filter Design Revisited: Circuit Configurations Using Newer Varieties of CCs - Current Conveyors: Variants, Applications and Hardware Implementations - page 374

DVCC

y 2

V 1

DVCC

V i

y 1 z+ y 2 DVCC

V 3

V 2

x y 2

z+ z+

y 1

R 4

y 1

C 2 x

C 1

z+

x

R 1

R 3

R 2

Fig. 12.11 DVCC-based VM KHN-equivalent using grounded passive elements proposed by
Soliman (Adapted from [ 14 ] © 2008 Wiley)

Soliman ' s KHN-equivalent biquad using DVCC In [ 14 ] Soliman derived a VM
DVCC-based KHN-biquad employing grounded passive components which is
shown here in Fig. 12.11 . A straight forward circuit analysis of this circuit yields
the following VM transfer functions (for R 4 ¼ R 3 ):

s 2 C 1 C 2 R 1 R 2
Ds

V 1
V i ¼

V 2
V i ¼

sC 2 R 2
Ds

ð 12 : 43 Þ

;

ðÞ ðÞ

and

V 3
V i ¼

1
Ds

ð 12 : 44 Þ

ðÞ

where

s 2 C 1 C 2 R 1 R 2 þ

Ds ðÞ¼ sC 2 R 3 þ 1 ð 12 : 45 Þ

The parameters ˉ 0 and Q 0 are obtained as:

r

1
C 1 C 2 R 1 R 2

R 1 R 2 C 1
C 2

r

1
R 3

ω 0 ¼ and Q 0 ¼ ð 12 : 46 Þ

Thus, Q 0 can be independently tuned by the two equal resistors R 3 having fixed
ˉ 0 by R 1 and R 2
Ibrahim-Minaei-Kuntman biquad A 22.5 MHz CM DVCC-based KHN-equiv-
alent filter structure was proposed by Ibrahim et al. [ 15 ] using all grounded passive
elements which is shown in Fig. 12.12 .
The filter circuit offers BPF, HPF and LPF filter responses simultaneously. By
proper connection of output currents notch and APF responses can also be obtained
without any additional active element(s). All the outputs are available from the high