REV. B
Information furnished by Analog Devices is believed to be accurate and
reliable. However, no responsibility is assumed by Analog Devices for its
use, nor for any infringements of patents or other rights of third parties
which may result from its use. No license is granted by implication or
otherwise under any patent or patent rights of Analog Devices.
a
AD633
One Technology Way, P.O. Box 9106, Norwood, MA 02062-9106, U.S.A.
Tel: 781/329-4700
World Wide Web Site: http://www.analog.com
Fax: 781/326-8703
Analog Devices, Inc., 1999
Low Cost
Analog Multiplier
CONNECTION DIAGRAMS
8-Lead Plastic DIP (N) Package
AD633JN/AD633AN
1
2
3
4
8
7
6
5
1
10V
X1
X2
Y1
Y2
W
Z
+V
S
V
S
A
1
1
8-Lead Plastic SOIC (SO-8) Package
AD633JR/AD633AR
1
2
3
4
8
7
6
5
1
10V
X1
X2
Y1
Y2
W
Z
+V
S
V
S
A
1
1
W =
(X
1
X
2
) (Y
1
Y
2
)
+ Z
10V
FEATURES
Four-Quadrant Multiplication
Low Cost 8-Lead Package
Complete--No External Components Required
Laser-Trimmed Accuracy and Stability
Total Error Within 2% of FS
Differential High Impedance X and Y Inputs
High Impedance Unity-Gain Summing Input
Laser-Trimmed 10 V Scaling Reference
APPLICATIONS
Multiplication, Division, Squaring
Modulation/Demodulation, Phase Detection
Voltage-Controlled Amplifiers/Attenuators/Filters
PRODUCT DESCRIPTION
The AD633 is a functionally complete, four-quadrant, analog
multiplier. It includes high impedance, differential X and Y
inputs and a high impedance summing input (Z). The low im-
pedance output voltage is a nominal 10 V full scale provided by
a buried Zener. The AD633 is the first product to offer these
features in modestly priced 8-lead plastic DIP and SOIC packages.
The AD633 is laser calibrated to a guaranteed total accuracy of
2% of full scale. Nonlinearity for the Y-input is typically less
than 0.1% and noise referred to the output is typically less than
100
V rms in a 10 Hz to 10 kHz bandwidth. A 1 MHz band-
width, 20 V/
s slew rate, and the ability to drive capacitive loads
make the AD633 useful in a wide variety of applications where
simplicity and cost are key concerns.
The AD633's versatility is not compromised by its simplicity.
The Z-input provides access to the output buffer amplifier,
enabling the user to sum the outputs of two or more multipliers,
increase the multiplier gain, convert the output voltage to a
current, and configure a variety of applications.
The AD633 is available in an 8-lead plastic DIP package (N)
and 8-lead SOIC (R). It is specified to operate over the 0
C to
+70
C commercial temperature range (J Grade) or the 40
C to
+85
C industrial temperature range (A Grade).
PRODUCT HIGHLIGHTS
1. The AD633 is a complete four-quadrant multiplier offered in
low cost 8-lead plastic packages. The result is a product that
is cost effective and easy to apply.
2. No external components or expensive user calibration are
required to apply the AD633.
3. Monolithic construction and laser calibration make the de-
vice stable and reliable.
4. High (10 M
) input resistances make signal source loading
negligible.
5. Power supply voltages can range from
8 V to
18 V. The
internal scaling voltage is generated by a stable Zener diode;
multiplier accuracy is essentially supply insensitive.
REV. B
2
AD633SPECIFICATIONS
(T
A
= +25 C, V
S
= 15 V, R
L
2 k
)
Model
AD633J, AD633A
W
X
X
Y
Y
V
Z
=
-
(
)
-
(
)
+
1
2
1
2
10
TRANSFER FUNCTION
Parameter
Conditions
Min
Typ
Max
Unit
MULTIPLIER PERFORMANCE
Total Error
10 V
X, Y
+10 V
1
2
% Full Scale
T
MIN
to T
MAX
3
% Full Scale
Scale Voltage Error
SF = 10.00 V Nominal
0.25%
% Full Scale
Supply Rejection
V
S
=
14 V to
16 V
0.01
% Full Scale
Nonlinearity, X
X =
10 V, Y = +10 V
0.4
1
% Full Scale
Nonlinearity, Y
Y =
10 V, X = +10 V
0.1
0.4
% Full Scale
X Feedthrough
Y Nulled, X =
10 V
0.3
1
% Full Scale
Y Feedthrough
X Nulled, Y =
10 V
0.1
0.4
% Full Scale
Output Offset Voltage
5
50
mV
DYNAMICS
Small Signal BW
V
O
= 0.1 V rms
1
MHz
Slew Rate
V
O
= 20 V p-p
20
V/
s
Settling Time to 1%
V
O
= 20 V
2
s
OUTPUT NOISE
Spectral Density
0.8
V/
Hz
Wideband Noise
f = 10 Hz to 5 MHz
1
mV rms
f = 10 Hz to 10 kHz
90
V rms
OUTPUT
Output Voltage Swing
11
V
Short Circuit Current
R
L
= 0
30
40
mA
INPUT AMPLIFIERS
Signal Voltage Range
Differential
10
V
Common Mode
10
V
Offset Voltage X, Y
5
30
mV
CMRR X, Y
V
CM
=
10 V, f = 50 Hz
60
80
dB
Bias Current X, Y, Z
0.8
2.0
A
Differential Resistance
10
M
POWER SUPPLY
Supply Voltage
Rated Performance
15
V
Operating Range
8
18
V
Supply Current
Quiescent
4
6
mA
NOTES
Specifications shown in boldface are tested on all production units at electrical test. Results from those tests are used to calculate outgoing quality levels. All min and
max specifications are guaranteed, although only those shown in boldface are tested on all production units.
Specifications subject to change without notice.
ABSOLUTE MAXIMUM RATINGS
1
Supply Voltage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
18 V
Internal Power Dissipation
2
. . . . . . . . . . . . . . . . . . . . 500 mW
Input Voltages
3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
18 V
Output Short Circuit Duration . . . . . . . . . . . . . . . . . Indefinite
Storage Temperature Range . . . . . . . . . . . . . 65
C to +150
C
Operating Temperature Range
AD633J . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0
C to +70
C
AD633A . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
C to +85
C
Lead Temperature Range (Soldering 60 sec) . . . . . . . . +300
C
ESD Rating . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1000 V
NOTES
1
Stresses above those listed under Absolute Maximum Ratings may cause perma-
nent damage to the device. This is a stress rating only; functional operation of the
device at these or any other conditions above those indicated in the operational
section of this specification is not implied.
2
8-Lead Plastic DIP Package:
JA
= 90
C/W; 8-Lead Small Outline Package:
JA
=
155
C/W.
3
For supply voltages less than
18 V, the absolute maximum input voltage is equal
to the supply voltage.
ORDERING GUIDE
Temperature
Package
Package
Model
Range
Description
Option
AD633AN
40
C to +85
C Plastic DIP
N-8
AD633AR
40
C to +85
C Plastic SOIC
SO-8
AD633AR-REEL
40
C to +85
C 13" Tape and Reel SO-8
AD633AR-REEL7 40
C to +85
C 7" Tape and Reel
SO-8
AD633JN
0
C to +70
C
Plastic DIP
N-8
AD633JR
0
C to +70
C
Plastic SOIC
SO-8
AD633JR-REEL
0
C to +70
C
13" Tape and Reel SO-8
AD633JR-REEL7
0
C to +70
C
7" Tape and Reel
SO-8
REV. B
AD633
3
FUNCTIONAL DESCRIPTION
The AD633 is a low cost multiplier comprising a translinear
core, a buried Zener reference, and a unity gain connected
output amplifier with an accessible summing node. Figure 1
shows the functional block diagram. The differential X and Y
inputs are converted to differential currents by voltage-to-current
converters. The product of these currents is generated by the
multiplying core. A buried Zener reference provides an overall
scale factor of 10 V. The sum of (X
Y)/10 + Z is then applied
to the output amplifier. The amplifier summing node Z allows
the user to add two or more multiplier outputs, convert the
output voltage to a current, and configure various analog com-
putational functions.
AD633
1
2
3
4
8
7
6
5
1
10V
X1
X2
Y1
Y2
W
Z
+V
S
V
S
A
1
1
Figure 1. Functional Block Diagram (AD633JN
Pinout Shown)
Inspection of the block diagram shows the overall transfer func-
tion to be:
W
X
X
Y
Y
V
Z
=
-
(
)
-
(
)
+
1
2
1
2
10
(Equation 1)
ERROR SOURCES
Multiplier errors consist primarily of input and output offsets,
scale factor error, and nonlinearity in the multiplying core. The
input and output offsets can be eliminated by using the optional
trim of Figure 2. This scheme reduces the net error to scale
factor errors (gain error) and an irreducible nonlinearity compo-
nent in the multiplying core. The X and Y nonlinearities are
typically 0.4% and 0.1% of full scale, respectively. Scale factor
error is typically 0.25% of full scale. The high impedance Z
input should always be referenced to the ground point of the
driven system, particularly if this is remote. Likewise, the differ-
ential X and Y inputs should be referenced to their respective
grounds to realize the full accuracy of the AD633.
1k
300k
50k
+V
S
V
S
50mV
TO APPROPRIATE
INPUT TERMINAL
(E.G. X
2
, X
2
, Z)
Figure 2. Optional Offset Trim Configuration
APPLICATIONS
The AD633 is well suited for such applications as modulation
and demodulation, automatic gain control, power measurement,
voltage controlled amplifiers, and frequency doublers. Note that
these applications show the pin connections for the AD633JN
pinout (8-lead DIP), which differs from the AD633JR pinout
(8-lead SOIC).
Multiplier Connections
Figure 3 shows the basic connections for multiplication. The X
and Y inputs will 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.
W =
(X
1
X
2
) (Y
1
Y
2
)
+ Z
10V
X
INPUT
OPTIONAL SUMMING
INPUT, Z
0.1 F
+15V
15V
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
Y
INPUT
Figure 3. Basic Multiplier Connections
Squaring and Frequency Doubling
As Figure 4 shows, squaring of an input signal, E, is achieved
simply by connecting the X and Y inputs in parallel to produce
an output of E
2
/10 V. The input may have either polarity, but
the output will be positive. However, the output polarity may be
reversed by interchanging the X or Y inputs. The Z input may
be used to add a further signal to the output.
0.1 F
+15V
E
W =
E
2
10V
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
15V
Figure 4. Connections for Squaring
When the input is a sine wave E sin
t, this squarer behaves as a
frequency doubler, since
E
t
V
E
V
t
sin
cos
(
)
=
-
(
)
2
2
10
20
1
2
(Equation 2)
Equation 2 shows a dc term at the output which will vary
strongly with the amplitude of the input, E. This can be avoided
using the connections shown in Figure 5, where an RC network
is used to generate two signals whose product has no dc term. It
uses the identity:
cos sin
sin
=
(
)
1
2
2
(Equation 3)
REV. B
AD633
4
0.1 F
+15V
E
W =
E
2
10V
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
15V
C
R
R1
1k
R2
3k
Figure 5. "Bounceless" Frequency Doubler
At
o
= 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). Since the X and Y inputs are 90
out of
phase, the response of the circuit will be (satisfying Equation 3):
W
V
E
t
E
t
E
V
t
o
o
o
=
( )
+
(
)
-
(
)
=
( ) (
)
1
10
2
45
2
45
40
2
2
sin
sin
sin
(Equation 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 fre-
quency: the output amplitude will be 0.5% too low at
=
0.9
o
, and
o
= 1.1
o
.
Generating Inverse Functions
Inverse functions of multiplication, such as division and square
rooting, can be implemented by placing a multiplier in the feed-
back loop of an op amp. Figure 6 shows how to implement a
square rooter with the transfer function
W
V E
= -
( )
10
(Equation 5)
for the condition E<0.
0.1 F
+15V
E
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
15V
W =
(10V)E
0.1 F
0.1 F
R
10k
1N4148
R
10k
+15
15
AD711
Figure 6. Connections for Square Rooting
0.1 F
+15V
E
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
15V
W = 10V
E
E
X
0.1 F
0.1 F
R
10k
1N4148
R
10k
+15
15
E
X
AD711
Figure 7. Connections for Division
Likewise, Figure 7 shows how to implement a divider using a
multiplier in a feedback loop. The transfer function for the
divider is
W
V
E
E
X
= -
( )
10
(Equation 6)
0.1 F
+15V
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
15V
R1
R2
W =
(X
1
X
2
) (Y
1
Y
2
)
+ S
10V
X
INPUT
Y
INPUT
(R1 + R2)
R1
1k
R1, R2
100k
S
Figure 8. Connections for Variable Scale Factor
Variable Scale Factor
In some instances, it may be desirable to use a scaling voltage
other than 10 V. The connections shown in Figure 8 increase
the gain of the system by the ratio (R1 + R2)/R1. This ratio is
limited to 100 in practical applications. The summing input, S,
may be used to add an additional signal to the output or it may
be grounded.
Current Output
The AD633's voltage output can be converted to a current
output by the addition of a resistor R between the AD633's W
and Z pins as shown in Figure 9 below. This arrangement forms
(X
1
X
2
) (Y
1
Y
2
)
10V
1
R
I
O
=
X
INPUT
0.1 F
+15V
15V
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
Y
INPUT
1k
R
100k
R
Figure 9. Current Output Connections
REV. B
AD633
5
the basis of voltage controlled integrators and oscillators as will
be shown later in this Applications section. The transfer func-
tion of this circuit has the form
I
R
X
X
Y
Y
V
O
=
-
(
)
-
(
)
1
10
1
2
1
2
(Equation 7)
Linear Amplitude Modulator
The AD633 can be used as a linear amplitude modulator with
no external components. Figure 10 shows the circuit. The car-
rier and modulation inputs to the AD633 are multiplied to
produce a double-sideband signal. The carrier signal is fed
forward to the AD633's Z input where it is summed with the
double-sideband signal to produce a double-sideband with carrier
output.
Voltage Controlled Low-Pass and High-Pass Filters
Figure 11 shows a single multiplier used to build a voltage con-
trolled low-pass filter. The voltage at output A is a result of
filtering, E
S
. The break frequency is modulated by E
C
, the con-
trol input. The break frequency, f
2
, equals
f
E
V
RC
C
2
20
=
( )
(Equation 8)
and the rolloff is 6 dB per octave. This output, which is at a
high impedance point, may need to be buffered.
The voltage at output B, the direct output of the AD633, has
same response up to frequency f
1
, the natural breakpoint of RC
filter,
f
RC
1
1
2
=
(Equation 9)
then levels off to a constant attenuation of f
1
/f
2
= E
C
/10.
0.1 F
+15V
MODULATION
INPUT
E
M
W = 1+
E
M
10V
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
15V
CARRIER
INPUT
E
C
sin t
E
C
sin t
Figure 10. Linear Amplitude Modulator
For example, if R = 8 k
and C = 0.002
F, then output A has
a pole at frequencies from 100 Hz to 10 kHz for E
C
ranging
from 100 mV to 10 V. Output B has an additional zero at 10 kHz
(and can be loaded because it is the multiplier's low impedance
output). The circuit can be changed to a high-pass filter Z inter-
changing the resistor and capacitor as shown in Figure 12 below.
0.1 F
+15V
OUTPUT B =
1 + T
1
P
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
15V
SIGNAL
INPUT E
S
CONTROL
INPUT E
C
1 + T
2
P
R
C
OUTPUT A =
1
1 + T
2
P
T
1
=
= RC
1
W
1
T
2
=
=
1
W
2
10
E
C
R
C
0
dB
f
f2 f1
OUTPUTB
6dB/OCTAVE
OUTPUTA
Figure 11. Voltage Controlled Low-Pass Filter
0.1 F
+15V
OUTPUT B
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
15V
SIGNAL
INPUT E
S
CONTROL
INPUT E
C
R
C
OUTPUT A
0
dB
f
f2
f1
OUTPUTB
+6dB/OCTAVE
OUTPUTA
Figure 12. Voltage Controlled High-Pass Filter
Voltage Controlled Quadrature Oscillator
Figure 13 shows two multipliers being used to form integrators
with controllable time constants in a 2nd order differential
equation feedback loop. R2 and R5 provide controlled current
output operation. The currents are integrated in capacitors C1
and C2, and the resulting voltages at high impedance are applied
to the X inputs of the "next" AD633. The frequency control
input, E
C
, connected to the Y inputs, varies the integrator gains
with a calibration of 100 Hz/V. The accuracy is limited by the
Y-input offsets. The practical tuning range of this circuit is
100:1. C2 (proportional to C1 and C3), R3, and R4 provide
regenerative feedback to start and maintain oscillation. The
diode bridge, D1 through D4 (1N914s), and Zener diode D5
provide economical temperature stabilization and amplitude
stabilization at
8.5 V by degenerative damping. The out-
put from the second integrator (10 V sin
t) has the lowest
distortion.
AGC AMPLIFIERS
Figure 14 shows an AGC circuit that uses an rms-dc converter
to measure the amplitude of the output waveform. The AD633
and A1, 1/2 of an AD712 dual op amp, form a voltage con-
trolled amplifier. The rms dc converter, an AD736, measures
the rms value of the output signal. Its output drives A2, an
integrator/comparator, whose output controls the gain of the
voltage controlled amplifier. The 1N4148 diode prevents the
output of A2 from going negative. R8, a 50 k
variable resistor,
sets the circuit's output level. Feedback around the loop forces
the voltages at the inverting and noninverting inputs of A2 to be
equal, thus the AGC.
REV. B
AD633
6
0.1 F
+15V
f =
E
C
10V
kHz
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
15V
(10V) sin t
C2
0.01 F
R4
16k
R5
16k
C3
0.1 F
0.1 F
+15V
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
15V
R2
16k
E
C
R1
1k
(10V) cos t
D3
1N914
D4
1N914
D2
1N914
D1
1N914
D5
1N95236
0.1 F
R3
330k
Figure 13. Voltage Controlled Quadrature Oscillator
+15V
AD736
0.1 F
C
AV
COMMON
OUTPUT
OUTPUT
LEVEL
ADJUST
R8
50k
0.1 F
+15V
8
7
6
5
1
2
3
4
AD633JN
0.1 F
X1
X2
Y1
Y2
V
S
+V
S
W
Z
15V
E
0.1 F
+15V
0.1 F
R5
10k
R6
1k
E
OUT
C1
1 F
C4
33 F
15V
AGC THRESHOLD
ADJUSTMENT
R10
10k
C2
0.02 F
C3
0.2 F
R2
1k
R4
10k
R3
10k
1N4148
0.1 F
R9
10k
1/2
AD712
1/2
AD712
A2
A1
+V
S
V
S
C
F
V
IN
C
C
15V
+15V
1
2
3
4
5
6
7
8
Figure 14. Connections for Use in Automatic Gain Control Circuit
REV. B
Typical CharacteristicsAD633
7
FREQUENCY Hz
OUTPUT RESPONSE dB
0
10
20
30
100k
10k
1M
10M
C
L
= 0dB
0dB = 0.1V rms, R
L
= 2k
C
L
= 1000pF
NORMAL
CONNECTION
Figure 15. Frequency Response
TEMPERATURE C
BIAS CURRENT nA
700
600
500
400
300
200
40
20
0
20
40
60
80
100
120
140
60
Figure 16. Input Bias Current vs. Temperature (X, Y, or Z
Inputs)
14
4
12
6
PEAK POSITIVE OR NEGATIVE SIGNAL Volts
10
8
12
14
16
18
20
PEAK POSITIVE OR NEGATIVE SUPPLY Volts
ALL INPUTS
OUTPUT, R
L
2k
8
10
Figure 17. Input and Output Signal Ranges vs. Supply
Voltages
FREQUENCY Hz
CMRR dB
20
100
1k
10k
100k
1M
TYPICAL
FOR X,Y
INPUTS
30
40
50
60
70
80
90
100
Figure 18. CMRR vs. Frequency
100
1k
10k
100k
10
FREQUENCY Hz
1.5
1
0.5
0
NOISE SPECTRAL DENSITY
V/
Hz
Figure 19. Noise Spectral Density vs. Frequency
10
100
1k
10k
100k
1M
10M
FREQUENCY Hz
1000
100
10
1
0
PK-PK FEEDTHROUGH Millivolts
Y-FEEDTHROUGH
X- FEEDTHROUGH
Figure 20. AC Feedthrough vs. Frequency
REV. B
AD633
8
C1480a09/99
PRINTED IN U.S.A.
8-Lead Plastic DIP
(N-8)
SEATING
PLANE
0.018 0.003
(0.46 0.03)
0.033 (0.84)
NOM
8
1
4
5
PIN 1
0.25
(6.35)
0.10 (2.54)
TYP
0.39 (9.91)
MAX
0.31
(7.87)
0.125 (3.18)
MIN
0.165 0.01
(4.19 0.25)
0.035 0.01
(0.89 0.25)
0.18 0.03
(4.57 0.76)
0-15
0.11 0.003
(0.28 0.08)
0.30 (7.62)
REF
8-Lead Plastic SOIC
(SO-8)
0.0098 (0.25)
0.0075 (0.19)
0.0500 (1.27)
0.0160 (0.41)
8
0
0.0196 (0.50)
0.0099 (0.25)
45
8
5
4
1
0.1968 (5.00)
0.1890 (4.80)
0.2440 (6.20)
0.2284 (5.80)
PIN 1
0.1574 (4.00)
0.1497 (3.80)
0.0500 (1.27)
BSC
0.0688 (1.75)
0.0532 (1.35)
SEATING
PLANE
0.0098 (0.25)
0.0040 (0.10)
0.0192 (0.49)
0.0138 (0.35)
OUTLINE DIMENSIONS
Dimensions shown in inches and (mm).
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