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AD633 Datasheet(PDF) 10 Page - Analog Devices

Part # AD633
Description  Low Cost Analog Multiplier
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Manufacturer  AD [Analog Devices]
Direct Link  http://www.analog.com
Logo AD - Analog Devices

AD633 Datasheet(HTML) 10 Page - Analog Devices

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Data Sheet
AD633
Rev. J | Page 9 of 20
APPLICATIONS INFORMATION
The AD633 is well suited for such applications as modulation
and demodulation, automatic gain control, power measurement,
voltage-controlled amplifiers, and frequency doublers. These
applications show the pin connections for the AD633JN (8-lead
PDIP), which differs from the AD633JR (8-lead SOIC).
MULTIPLIER CONNECTIONS
Figure 12 shows the basic connections for multiplication. The X
and Y inputs normally have their negative nodes grounded, but
they are fully differential, and in many applications, the grounded
inputs may be reversed (to facilitate interfacing with signals of a
particular polarity while achieving some desired output polarity),
or both may be driven.
AD633JN
X1
1
X2
2
Y1
3
Y2
4
+VS 8
W 7
Z 6
–VS 5
X
INPUT
Y
INPUT
+
+
0.1µF
0.1µF
+15V
–15V
OPTIONAL SUMMING
INPUT, Z
W =
+ Z
(X1 – X2)(Y1 – Y2)
10V
Figure 12. Basic Multiplier Connections
SQUARING AND FREQUENCY DOUBLING
As is shown in Figure 13, squaring of an input signal, E, is
achieved simply by connecting the X and Y inputs in parallel to
produce an output of E2/10 V. The input can have either polarity,
but the output is positive. However, the output polarity can be
reversed by interchanging the X or Y inputs. The Z input can be
used to add a further signal to the output.
AD633JN
X1
1
E
X2
2
Y1
3
Y2
4
+VS 8
W 7
Z 6
–VS 5
0.1µF
0.1µF
+15V
–15V
W =
E2
10V
Figure 13. Connections for Squaring
When the input is a sine wave E sin ωt, this squarer behaves as a
frequency doubler, because
t
V
E
V
t
E
2
cos
1
20
10
sin
2
2
(2)
Equation 2 shows a dc term at the output that varies strongly
with the amplitude of the input, E. This can be avoided using
the connections shown in Figure 14, where an RC network is
used to generate two signals whose product has no dc term. It
uses the identity
θ
θ
θ
2
sin
2
1
sin
cos
(3)
AD633JN
X1
1
X2
2
Y1
3
Y2
4
+VS 8
W 7
Z 6
–VS 5
0.1µF
0.1µF
+15V
–15V
W =
E2
10V
E
R
C
R2
3kΩ
R1
1kΩ
Figure 14. Bounceless Frequency Doubler
At ωo = 1/CR, the X input leads the input signal by 45° (and is
attenuated by √2), and the Y input lags the X input by 45° (and
is also attenuated by √2). Because the X and Y inputs are 90° out of
phase, the response of the circuit is (satisfying Equation 3)
 
 
45
sin
2
45
sin
2
10
1
0
0
t
E
t
E
V
W
 t
V
E
0
2
2
sin
40
(4)
which has no dc component. Resistors R1 and R2 are included
to restore the output amplitude to 10 V for an input amplitude
of 10 V.
The amplitude of the output is only a weak function of frequency;
the output amplitude is 0.5% too low at ω = 0.9 ω0 and ω0 = 1.1 ω0.
GENERATING INVERSE FUNCTIONS
Inverse functions of multiplication, such as division and square
rooting, can be implemented by placing a multiplier in the feedback
loop of an op amp. Figure 15 shows how to implement square
rooting with the transfer function for the condition E < 0.
The 1N4148 diode is required to prevent latchup, which can
occur in such applications if the input were to change polarity,
even momentarily.
V
E
W
10
(5)
AD633JN
X1
1
X2
2
Y1
3
Y2
4
+VS 8
W 7
Z 6
–VS 5
0.1µF
E < 0V
–15V
+15V
AD711
0.1µF
10kΩ
10kΩ
0.1µF
W = √ –(10V)E
0.01µF
+15V
–15V
7
4
3
6
2
0.1µF
1N4148
Figure 15. Connections for Square Rooting


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