Nonlinear Applications of CCs - Current Conveyors: Variants, Applications and Hardware Implementations - page 220

+V

(I A + I B )

I o ut

I A

I B

R L

Q 9 Q 10

Q 8

Q 11

I 0

I 1

I 0 I 1

Q 1

Q 3

X

I 0 Y Z I C

R 0

Q 4

Q 2

I 2

I 2

I 0

I

Q 5

Q 7

Q 6

Q 12

Q 13

I B

−V

Fig. 8.8 Full wave rectifier circuit and frequency doubler proposed by Surakampontorn et al. [ 12 ]

which can be re-written as

1 = 2

I in
4 I 0

I out ¼ 4 I 0 1 þ ð 8 : 9 Þ

Consider now the following cases:

(a) Sinusoidal frequency doubler: Choosing I in ¼ I m Sin ˉ tif| I in | << 2 I 0 , then

using the power series expansion-

p

1

1
2 x

1
8 x 3

þ x ¼ 1 þ þ :::: ð 8 : 10 Þ

I in

Now defining k ¼

4 I 0 and considering k < 1, the output current can be written as

I out I DC þ I 2 w cos 2 ω t ð 8 : 11 Þ

4 I O

1
4 k

3
64 k

5
256 k

2 3

I DC 1 þ ðÞ þ ðÞ ð 8 : 12 Þ

4 I O

1
4 k

1
16 k

15
512 k

2 3

I 2 w þ ðÞ ðÞ ð 8 : 13 Þ

It is, thus, seen that the output current contains a signal whose frequency is double
of the frequency of the input signal.