MULTIPLIER-DIVIDER
APPLICATIONS
● MULTIPLICATION
● DIVISION
● SQUARING
● SQUARE ROOT
● LINEARIZATION
● POWER COMPUTATION
● ANALOG SIGNAL PROCESSING
● ALGEBRAIC COMPUTATION
● TRUE RMS-TO-DC CONVERSION
FEATURES
● LOW COST
● DIFFERENTIAL INPUT
● ACCURACY 100% TESTED AND
GUARANTEED
● NO EXTERNAL TRIMMING REQUIRED
● LOW NOISE: 90µVrms, 10Hz to 10kHz
● HIGHLY RELIABLE ONE-CHIP DESIGN
● DIP OR TO-100 TYPE PACKAGE
● WIDE TEMPERATURE OPERATION
DESCRIPTION
The MPY100 multiplier-divider is a low cost preci-
sion device designed for general purpose application.
In addition to four-quadrant multiplication, it also
performs analog square root and division without the
bother of external amplifiers or potentiometers. Laser-
trimmed one-chip design offers the most in highly
reliable operation with guaranteed accuracies.
Because of the internal reference and pretrimmed
accuracies the MPY100 does not have the restrictions
of other low cost multipliers. It is available in both
TO-100 and DIP ceramic packages.
Attenuator
Z
2
Z
1
Multiplier Core
Y
2
Y
1
X
2
X
1
V-I
V-I
V-I
AOut
High Gain
Output Amplifier
MPY100
®
International Airport Industrial Park • Mailing Address: PO Box 11400 • Tucson, AZ 85734 • Street Address: 6730 S. Tucson Blvd. • Tucson, AZ 85706
Tel: (520) 746-1111 • Twx: 910-952-1111 • Cable: BBRCORP • Telex: 066-6491 • FAX: (520) 889-1510 • Immediate Product Info: (800) 548-6132
©1987 Burr-Brown Corporation PDS-412D Printed in U.S.A. March, 1995
SBFS012
®
MPY100 2
SPECIFICATIONS
At TA = +25°C and ±VS = 15VDC, unless otherwise specified.
MPY100A MPY100B/C MPY100S
(X1 – X2)(Y1 –Y2)
10 + Z2
(X1 – X2)+ Y1
10 + Z2
(X1 – X2)2
10(Z2 – Z1)
PARAMETER CONDITIONS MIN TYP MAX MIN TYP MAX MIN TYP MAX UNITS
MULTIPLIER PERFORMANCE
Transfer Function */* *
Total Error –10V ≤ X, Y ≤ 10V
Initial TA = +25°C±2.0 ±1.0/0.5 ±0.5 % FSR
vs Temperature –25°C ≤ TA ≤ +85°C±0.017 ±0.05 ±0.008/0.008 ±0.02/0.02 % FSR/°C
vs Temperature –55°C ≤ TA ≤ +125°C±0.025 ±0.05 % FSR/°C
vs Supply(1) ±0.05 */* * % FSR/%
Individual Errors
Output Offset
Initial TA = +25°C±50 ±100 ±10/7 ±50/25 ±7±50 mV
vs Temperature –25°C ≤ TA ≤ +85°C±0.7 ±2.0 ±0.7/0.3 ±2.0/±0.7 mV/°C
vs Temperature –55°C ≤ TA ≤ +125°C±0.3 ±0.7 mV/°C
vs Supply(1) ±0.25 */* * mV/%
Scale Factor Error
Initial TA = +25°C±0.12 */* * % FSR
vs Temperature –25°C ≤ TA ≤ +85°C±0.008 */* % FSR/°C
vs Temperature –55°C ≤ TA ≤ +125°C±0.008 % FSR/°C
vs Supply(1) ±0.05 */* * % FSR %
Nonlinearity
X Input
X = 20Vp-p; Y = ±10VDC
±0.08 */* * % FSR
Y Input
Y = 20Vp-p: X = ±10VDC
±0.08 */* * % FSR
Feedthrough f = 50Hz
X Input X = 20Vp-p; Y = 0 100 30/30 30 mVp-p
Y Input Y = 20Vp-p; X = 0 6 */* * mVp-p
vs Temperature –25°C ≤ TA ≤ +85°C 0.1 */* mVp-p/°C
vs Temperature –55°C ≤ TA ≤ 125°C0.1 mVp-p/°C
vs Supply(1) 0.15 */* * mVp-p/%
DIVIDER PERFORMANCE
Transfer Function X1 > X2*/* *
Total Error (with X = 10V
external adjustments) –10V ≤ Z ≤ +10V ±1.5 ±0.75/0.35 ±0.35 % FSR
X = 1V
–1V ≤ Z ≤ +1V ±4.0 ±2.0/1.0 ±1.0 % FSR
+0.2V ≤ X ≤ +10V
–10V ≤ Z ≤ +10V ±5.0 ±2.5/1.0 ±1.0 % FSR
SQUARER PERFORMANCE
Transfer Function */* *
Total Error –10V ≤ X ≤ +10V ±1.2 ±0.6/0.3 ±0.3 % FSR
SQUARE ROOTER PERFORMANCE
Transfer Function Z1 < Z2+√10(Z2 – Z1) + X2*/* *
Total Error 1V ≤ Z ≤ 10V ±2±1/0.5 ±0.5 % FSR
AC PERFORMANCE
Small-Signal Bandwidth 550 */* * kHz
% Amplitude Error Small-Signal 70 */* * kHz
% (0.57°) Vector Error Small-Signal 5 */* * kHz
Full Power Bandwidth |VO| = 10V, RL = 2kΩ320 */* * kHz
Slew Rate |VO| = 10V, RL = 2kΩ20 */* * V/µs
Settling Time ε = ±1%, ∆VO = 20V 2 */* * µs
Overload Recovery 50% Output Overload 0.2 */* * µs
INPUT CHARACTERISTICS
Input Voltage Range
Rated Operation ±10 */* * V
Absolute Maximum ±VCC */* * V
Input Resistance X, Y, Z(2) 10 */* * MΩ
Input Bias Current X, Y, Z 1.4 */* * µA
OUTPUT CHARACTERISTICS
Rated Output
Voltage IO = ±5mA ±10 */* * V
Current VO = ±10V ±5 */* * mA
Output Resistance f = DC 1.5 */* * Ω
®
MPY100
3
SPECIFICATIONS (CONT)
At TA = +25°C and ±VS = 15VDC, unless otherwise specified.
MPY100A MPY100B/C MPY100S
* Same as MPY100A specification.
*/* B/C grades same as MPY100A specification.
NOTES: (1) Includes effects of recommended null pots. (2) Z2 input resistance is 10MΩ, typical, with VOS pin open. If VOS pin is grounded or used for optional offset
adjustment, the Z2 input resistance may be as low as 25kΩ
PARAMETER CONDITIONS MIN TYP MAX MIN TYP MAX MIN TYP MAX UNITS
OUTPUT NOISE VOLTAGE X = Y = 0
fO = 1Hz 6.2 */* * µV/√Hz
fO = 1kHz 0.6 */* * µV/√Hz
l/f Corner Frequency 110 */* * Hz
fB = 5Hz to 10kHz 60 */* * µVrms
fB = 5Hz to 5MHz 1.3 */* * mVrms
POWER SUPPLY REQUIREMENTS
Rated Voltage ±15 */* * VDC
Operating Range Derated Performance ±8.5 ±20 */* */* * * VDC
Quiescent Current ±5.5 */* * mA
TEMPERATURE RANGE (Ambient)
Specification –25 +85 */* */* –55 +125 °C
Operating Range Derated Performance –55 +125 */* */* * * °C
Storage –65 +150 */* */* * * °C
PIN CONFIGURATIONS
Top View DIP
NOTES: (1) VOS adjustment optional not normally recommended. VOS pin
may be left open or grounded. (2) All unused input pins should be grounded.
Top View TO-100
10
1
5
3
4
Y
2
–V
CC
Out
Z
1
+V
CC
Y
1
2
9
8
7
6X
1
X
2
Z
2
V
OS
NOTES: (1) VOS adjustment optional not normally recommended. VOS pin
may be left open or grounded. (2) All unused input pins should be grounded.
ORDERING INFORMATION
MODEL PACKAGE TEMPERATURE RANGE
MPY100AG 14-Pin Ceramic DIP –25°C to +85°C
MPY100AM Metal TO-100 –25°C to +85°C
MPY100BG 14-Pin Ceramic DIP –25°C to +85°C
MPY100BM Metal TO-100 –25°C to +85°C
MPY100CG 14-Pin Ceramic DIP –25°C to +85°C
MPY100CM Metal TO-100 –25°C to +85°C
MPY100SG 14-Pin Ceramic DIP –55°C to +125°C
MPY100SM Metal TO-100 –55°C to +125°C
PACKAGE INFORMATION
PACKAGE DRAWING
MODEL PACKAGE NUMBER(1)
MPY100AG 14-Pin Ceramic DIP 169
MPY100AM Metal TO-100 007
MPY100BG 14-Pin Ceramic DIP 169
MPY100BM Metal TO-100 007
MPY100CG 14-Pin Ceramic DIP 169
MPY100CM Metal TO-100 007
MPY100SG 14-Pin Ceramic DIP 169
MPY100SM Metal TO-100 007
NOTE: (1) For detailed drawing and dimension table, please see end of data
sheet, or Appendix D of Burr-Brown IC Data Book.
1
2
3
4
5
6
7
14
13
12
11
10
9
8
Z
1
Out
–V
CC
NC
NC
NC
X
1
+V
CC
Y
1
Y
2
V
OS
Z
2
X
2
NC
NOTES: (1) Package must be derated on
θ
JC = 15°C/W and
θ
JA =
165°C/W for the metal package and
θ
JC = 35°C/W and
θ
JA = 220°C/
W for the ceramic package. (2) For supply voltages less than ±20VDC,
the absolute maximum input voltage is equal to the supply voltage. (3)
Short-circuit may be to ground only. Rating applies to +85°C ambient
for the metal package and +65°C for the ceramic package.
ABSOLUTE MAXIMUM RATINGS
Supply ...........................................................................................±20VDC
Internal Power Dissipation(1).......................................................... 500mW
Differential Input Voltage(2) ...........................................................±40VDC
Input Voltage Range(2) .................................................................±20VDC
Storage Temperature Range......................................... –65°C to +150°C
Operating Temperature Range .................................... –55°C to +125°C
Lead Temperature (soldering, 10s)............................................... +300°C
Output Short-circuit Duration(3) ................................................ Continuous
Junction Temperature.................................................................... +150°C
®
MPY100 4
SIMPLIFIED SCHEMATIC
DICE INFORMATION
PAD FUNCTION
1Y
2
2V
OS
3Z
2
4X
2
5X
1
6V
O
7Z
1
8+V
9–V
10 Y1
Substrate Bias: –VCC
MECHANICAL INFORMATION
MILS (0.001") MILLIMETERS
Die Size 107 x 93 ±5 2.72 x 2.36 ±0.13
Die Thickness 20 ±3 0.51 ±0.08
Min. Pad Size 4 x 4 0.10 x 0.10
Backing Gold
MPY100 DIE TOPOGRAPHY
500µA
–V
CC
500µA 500µA
A
+V
CC
X
1
Z
1
Out
3.8kΩ
V
OS
Z
2
25kΩ
25kΩ
25kΩ
X
2
Y
2
Y
1
25kΩ25kΩ25kΩ25kΩ25kΩ
CONNECTION DIAGRAM
Y
2
Y
1
X
2
X
1
V
OS
–V
S
100kΩ –15VDC
V
O
(1)
NOTE: (1) Optional component.
Z
1
Z
2
Out
+V
S
+15VDC
(X
1
– X
2
)(Y
1
– Y
2
)
10
®
MPY100
5
04 6 12 16 20
Power Supply Voltage (±V
CC
)
INPUT VOLTAGE FOR LINEAR RESPONSE
Input Range (V)
82 1014180
20
18
16
14
12
10
8
6
4
2
Positive Common-Mode
Differential
Negative Common-Mode
–10
Time (µs)
LARGE SIGNAL RESPONSE
Output Voltage (V)
10
5
0
–5
14052
3
R
L
= 2kΩ
CL = 150pF
Input
Output
OUTPUT AMPLITUDE vs FREQUENCY
Frequency (Hz) 10M100k 1M
10k
5
0
–5
–10
–15
Output Amplitude (dB)
Small Signal
–20
X
Y
FEEDTHROUGH vs FREQUENCY
Frequency (Hz)
Feedthrough Voltage (mVp-p)
510 10M100 1M
1k 10k 100k
1000
500
200
100
50
20
10
Input Signal = 20Vp-p
X Feedthrough
Y Feedthrough
100
10
1
0.1
0.01
NONLINEARITY vs FREQUENCY
Nonlinearity (% of FSR)
Frequency (Hz)
100 100k10 1M1k 10k
Input Signal = 20Vp-p
0.001
X
Y
10
1
0.1
TOTAL ERROR vs AMBIENT TEMPERATURE
Magnitude of Total Output Error (% of FSR)
Ambient Temperature (°C)
–50 100–100 1500 50
At TA = +25°C and ±VS = 15VDC, unless otherwise specified.
TYPICAL PERFORMANCE CURVES
®
MPY100 6
Ambient Temperature (°C)
SUPPLY CURRENT vs AMBIENT TEMPERATURE
Supply Current (mA)
16
14
12
10
8
6
4
2
–50 100–100 1500 50
5mA Load
Quiescent
0
OUTPUT VOLTAGE vs OUTPUT CURRENT
25
20
15
10
5
2101216
Output Current (±mA)
0
Output Voltage (±V)
0
+25°C
–55°C
V
CC
= ±20V
V
CC
= ±15V
V
CC
= ±10V
V
CC
= ±8.5V
468 14
COMMON-MODE REJECTION vs FREQUENCY
Frequency (Hz)
CMR (dB)
20 10 10M100 1M
1k 10k 100k
80
70
60
50
40
30
Y = 12Vp-p
X = ±10VDC
X = 12Vp-p
Y = ±10VDC
At TA = +25°C and ±VS = 15VDC, unless otherwise specified.
TYPICAL PERFORMANCE CURVES (CONT)
®
MPY100
7
FIGURE 1. MPY100 Functional Block Diagram.
(X
1
– X
2
)(Y
1
– Y
2
)
10
Attenuator
Z
2
Z
1
Multiplier
Core
Y
2
Y
1
X
2
X
1
V-I
V-I
V-I
AOut
High Gain
Output Amplifier
Stable
Reference
and Bias
+V
S
–V
S
V
O
= A
– (Z
1
– Z
2
)
Transfer Function
and is modulated by the voltage, V2, to give
gm ≈ V2/VTRE
Substituting this into the original equation yields the overall
transfer function
VO = gmRLV1 = V1V2 (RL/VTRE)
which shows the output voltage to be the product of the two
input voltages, V1 and V2.
Variations in IE due to V2 cause a large common-mode
voltage swing in the circuit. The errors associated with this
common-mode voltage can be eliminated by using two
differential stages in parallel and cross-coupling their out-
puts as shown in Figure 3.
FIGURE 3. Cross-Coupled Differential Stages as a Variable-
Transconductance Multiplier.
FIGURE 2. Basic Differential Stage as a Transconductance
Multiplier.
–+V
O
+V
CC
R
L
R
L
I
1
I
2
R
E
I
E
–
+V
2
Q
3
Q
2
Q
1
–
+
V
1
THEORY OF OPERATION
The MPY100 is a variable transconductance multiplier con-
sisting of three differential voltage-to-current converters, a
multiplier core and an output differential amplifier as illus-
trated in Figure 1.
The basic principle of the transconductance multiplier can
be demonstrated by the differential stage in Figure 2.
For small values of the input voltage, V1, that are much
smaller than VT, the transistor’s thermal voltage, the differ-
ential output voltage, VO, is:
VO = gm RLV1
The transconductance gm of the stage is given by:
gm = IE/VT
An analysis of the circuit in Figure 3 shows it to have the
same overall transfer function as before:
VO = V1V2 (RL/VTRE).
For input voltages larger than VT, the voltage-to-current
transfer characteristics of the differential pair Q1, Q2 or Q3
and Q4 are no longer linear. Instead, their collector currents
are related to the applied voltage V1
= = e
The resultant nonlinearity can be overcome by developing
V1 logarithmically to exactly cancel the exponential rela-
tionship just derived. This is done by diodes D1 and D2 in
Figure 4.
The emitter degeneration resistors, RX and RY, in Figure 4,
provide a linear conversion of the input voltages to differen-
tial current, IX and IY, where:
I3
I4
I1
I2
VT
V1
–+ VO
+VS
RL
+V2
Q5
Q2
Q1
–
+
V1
Q4
Q3
I3
I1I2I4
REREQ6
–
IT
–VCC
RL
®
MPY100 8
IX = VX/RX and IY = VY/RY
Analysis of Figure 4 shows the voltage VA to be:
VA = (2RL/I1)(IXIY)
Since IX and IY are linearly related to the input voltages VX
and VY, VA may also be written:
VA = KVXVY
where K is a scale factor. In the MPY100, K is chosen to be
0.1.
The addition of the Z input alters the voltage VA to:
VA = KVXVY – VZ
Therefore, the output of the MPY100 is:
VO = A[KVXVY – VZ]
where A is the open-loop gain of the output amplifier.
Writing this last equation in terms of the separate inputs to
the MPY100 gives
VO = A – (Z1 – Z2)
the transfer function of the MPY100.
WIRING PRECAUTIONS
In order to prevent frequency instability due to lead induc-
tance of the power supply lines, each power supply should
be bypassed. This should be done by connecting a 10µF
tantalum capacitor in parallel with a 1000pF ceramic capaci-
tor from the +VCC and –VCC pins of the MPY100 to the
power supply common. The connection of these capacitors
should be as close to the MPY100 as practical.
(X1 – X2)(Y1 – Y2)
10
FIGURE 4. MPY100 Simplified Circuit Diagram.
Q
8
Q
7
+
R
X
2
21
1
R
X
2
V
X
–
X
2
–V
CC
Q
6
Q
5
+
R
Y
2
21
1
R
Y
2V
Y
–
Q
10
Q
9
+
R
Z
2
21
1
R
Z
2V
Z
–
Y
2
Z
2
R
CM
Q
2
Q
1
I
2
I
1
Q
4
Q
3
I
4
I
3
A
D
1
D
2
+V
CC
R
L
R
L
+
V
1
–
+
V
A
–
Y
1
X
1
Z
1
V
O
Out
CAPACITIVE LOADS
Stable operation is maintained with capacitive loads to
1000pF in all modes, except the square root mode for which
50pF is a safe upper limit. Higher capacitive loads can be
driven if a 100Ω resistor is connected in series with the
MPY100’s output.
DEFINITIONS
TOTAL ERROR (Accuracy)
Total error is the actual departure of the multiplier output
voltage form the ideal product of its input voltages. It
includes the sum of the effects of input and output DC
offsets, gain error and nonlinearity.
OUTPUT OFFSET
Output offset is the output voltage when both inputs VX and
VY are 0V.
SCALE FACTOR ERROR
Scale factor error is the difference between the actual scale
factor and the ideal scale factor.
NONLINEARITY
Nonlinearity is the maximum deviation from a best
straightline (curve fitting on input-output graph) expressed
as a percent of peak-to-peak full scale output.
FEEDTHROUGH
Feedthrough is the signal at the output for any value of VX
or VY within the rated range, when the other input is zero.
®
MPY100
9
εDIVIDER = 10 εMULTIPLIER/(X1 – X2)
It is obvious from this error equation that divider error
becomes excessively large for small values of X1 – X2. A 10-
to-1 denominator range is usually the practical limit. If more
accurate division is required over a wide range of denomi-
nator voltages, an externally generated voltage may be
SMALL SIGNAL BANDWIDTH
Small signal bandwidth is the frequency at which the output
is down 3dB from its low-frequency value for nominal
output amplitude of 10% of full scale.
1% AMPLITUDE ERROR
The 1% amplitude error is the frequency the output ampli-
tude is in error by 1%, measured with an output amplitude
of 10% of full scale.
1% VECTOR ERROR
The 1% vector error is the frequency at which a phase error
of 0.01 radians (0.57°) occurs. This is the most sensitive
measure of dynamic error of a multiplier.
TYPICAL APPLICATIONS
MULTIPLICATION
Figure 5 shows the basic connection for four-quadrant mul-
tiplication.
The MPY100 meets all of its specifications without trim-
ming. Accuracy can, however be improved over a limited
range by nulling the output offset voltage using the 100Ω
optional balance potentiometer shown in Figure 5.
AC feedthrough may be reduced to a minimum by applying
an external voltage to the X or Y input as shown in Figure
6.
Z2, the optional summing input, may be used to sum a
voltage into the output of the MPY100. If not used, this
terminal, as well as the X and Y input terminals, should be
grounded. All inputs should be referenced to power supply
common.
Figure 7 shows how to achieve a scale factor larger than the
nominal 1/10. In this case, the scale factor is unity which
makes the transfer function
VO = KVXVY = K(X1 – X2)(Y1 – Y2).
This circuit has the disadvantage of increasing the output
offset voltage by a factor of 10, which may require the use
of the optional balance control as in Figure 1 for some
applications. In addition, this connection reduces the small
signal bandwidth to about 50kHz.
DIVISION
Figure 8 shows the basic connection for two-quadrant
division. This configuration is a multiplier-inverted analog
divider, i.e., a multiplier connected in the feedback loop of
an operational amplifier. In the case of the MPY100, this
operational amplifier is the output amplifier shown in
Figure 1.
The divider error with a multiplier-inverted analog divider is
approximately:
FIGURE 5. Multiplier Connection.
MPY100
Y
2
Y
1
X
2
X
1
V
X
, ±10V,
FS
V
Y
, ±10V,
FS –V
CC
+V
CC
V
OS
100kΩ
–15VDC +15VDC
(X
1
– X
2
)(Y
1
– Y
2
)
10
V
O
=
+ Z
2
V
O
, ±10V, FS
Optional
Summing
Input, ±10V, FS
(1)
NOTE: (1) Optional balance
potentiometer.
Z
1
Z
2
Out
K = 10
1 + (R1/R2)
0.1 ≤ K ≤ 1
FIGURE 6. Optional Trimming Configuration.
470kΩ
–V
CC
+V
CC
50kΩ
1kΩ
To the appropriate
input terminal.
FIGURE 7. Connection for Unity Scale Factor.
MPY100
Y
2
Y
1
X
2
X
1
Z
1
Z
2
Out
R
2
10kΩ
R
1
90kΩV
O
FIGURE 8. Divider Connection.
V
X
Demonimator
±0.2V to +10V, FS
MPY100
Y
2
Y
1
X
2
X
1
Z
1
Z
2
Out V
O
= ±10V, FS
10(Z
2
– Z
1
)
V
O
=
+ Y
1
(X
1
– X
2
)
Numerator
±10V, FS
Optional Summing
Input, ±10V, FS V
2
®
MPY100 10
applied to the unused X-input (see Optional Trim Configu-
ration). To trim, apply a ramp of +100mV to +1V at 100Hz
to both X1 and Z1 if X2 is used for offset adjustment,
otherwise reverse the signal polarity and adjust the trim
voltage to minimize the variation in the output. An alterna-
tive to this procedure would be to use the Burr-Brown
DIV100, a precision log-antilog divider.
FIGURE 9. Squarer Connection.
SQUARING
MPY100
Y
2
Y
1
X
2
X
1
Z
1
Z
2
Out V
O
= ±10V, FS
(X
1
– X
2
)
2
V
O
=
+ Z
2
10
Optional
Summing
Input, ±10V, FS
V
X
±10V, FS
MPY100
Y
2
Y
1
X
2
X
1
Z
1
Z
2
Out V
O
1kΩ
+0.2V ≤ V
1
≤ +10V
V
1
V
2
9kΩ
(V
2
– V
1
)
V
O
=
100
V
1
1% per volt
SQUARE ROOT
Figure 10 shows the connection for taking the square root of
the voltage VZ. The diode prevents a latching condition
which could occur if the input momentarily changed polar-
ity. This latching condition is not a design flaw in the
MPY100, but occurs when a multiplier is connected in the
feedback loop of an operational amplifier to perform square
root functions.
The load resistance, RL, must be in the range of
10kΩ ≤ RL ≤ 1MΩ. This resistance must be in the circuit as
it provides the current necessary to operate the diode.
PERCENTAGE COMPUTATION
The circuit of Figure 11 has a sensitivity of 1V/% and is
capable of measuring 10% deviations. Wider deviation can
be measured by decreasing the ratio of R2/R1.
BRIDGE LINEARIZATION
The use of the MPY100 to linearize the output from a bridge
circuit makes the output VO independent of the bridge
supply voltage. See Figure 12.
TRUE RMS-TO-DC CONVERSION
The rms-to-DC conversion circuit of Figure 13 gives greater
accuracy and bandwidth but with less dynamic range than
most rms-to-DC converters.
SINE FUNCTION GENERATOR
The circuit in Figure 14 uses implicit feedback to implement
the following sine function approximation:
VO= (1.5715V1 – 0.004317V13)/(1 + 0.001398V12)
= 10 sin (9V1)
MORE CIRCUITS
The theory and procedures for developing virtually any
function generator or linearization circuit can be found in the
Burr-Brown/McGraw Hill book “FUNCTION CIRCUITS -
Design and Applications.”
MPY100
Y
2
Y
1
X
2
X
1
Z
1
Z
2
Out V
O
V
O
= + 10(Z
2
– Z
1
) +X
2
(a) Circuit for positive V
Z
.
Optional
Summing
Input,
±10V, FS
V
Z
R
L
+0.2V ≤ (Z
2
– Z
1
) ≤ +10V
MPY100
Y
2
Y
1
X
2
X
1
Z
1
Z
2
Out V
O
V
O
= – 10(Z
2
– Z
1
) +X
2
(b) Circuit for negative V
Z
.
Optional
Summing
Input,
±10V, FS
V
Z
R
L
+0.2V ≤ (Z
2
– Z
1
) ≤ +10V
FIGURE 10. Square Root Connection.
FIGURE 11. Percentage Computation.
®
MPY100
11
FIGURE 12. Bridge Linearization.
FIGURE 13. True RMS-to-DC Conversion.
MPY100
Y2
Y1
X2
X1 Z1
Z2
Out
Matched to 0.025%
10kΩ
10MΩ
–VS
+VS
50kΩ
Zero
Adjust
OPA111
10µF
AC
Mode Switch
DC
VIN
(±5V pk)
R1
10kΩ
20kΩ
10kΩ
OPA111
R2
10kΩ
20kΩ
10kΩ
C2
10µF
VO
VO = VIN2
0 to 5V
MPY100
Y
2
Y
1
X
2
X
1
Z
1
Z
2
Out V
O
R
2
V
1
R
1
1
V
1
=1+
Z
1
R
G
40kΩ
G = 2
INA101 V
2
R + ∆RR
RR
V
2 2R
∆R
1
V
2
= V 1+ 2R
∆R
R
1
+ R
2
V
O
= 5 R
2
∆R
R
V
NOTE: V should be as large as possible to minimize divider errors. But V ≤ [10 + (20R/∆R)]
to keep V
2
within the input voltage limits of the MPY100.
®
MPY100 12
FIGURE 14. Sine Function Generator
MPY100
Y
2
Y
1
X
2
X
1
Z
1
Z
2
Out V
O
= 10 sin 9V
1
10kΩ
5.715kΩ
MPY100
Y
2
Y
1
X
2
X
1
Z
1
Z
2
Out
V
1
71.548kΩ23.165kΩ
10kΩ
(–10V ≤ V
1
≤ +10V, and 1V = 9°)
FIGURE 15. Single-Phase Instantaneous and Real Power
Measurement.
Y
X XY
10 Instantaneous
Power
Real Power
(∝γ/10)(E
irms
I
Lrms
cos )
∝ =R
5
/(R
4
+R
5
)
γ =(–R
1
R
3
)/R
2
R
2
R
1
Load
R
4
e
i
e
i
(t) = 2 E
irms
Sin ωt
i
L
(t) = 2 I
Lrms
Sin (ωt + )
I
L
∝e
i
γi
L
R
5
R
3
θ
θ
The information provided herein is believed to be reliable; however, BURR-BROWN assumes no responsibility for inaccuracies or omissions. BURR-BROWN
assumes no responsibility for the use of this information, and all use of such information shall be entirely at the user’s own risk. Prices and specifications are subject
to change without notice. No patent rights or licenses to any of the circuits described herein are implied or granted to any third party. BURR-BROWN does not
authorize or warrant any BURR-BROWN product for use in life support devices and/or systems.
PACKAGING INFORMATION
Orderable Device Status (1) Package
Type Package
Drawing Pins Package
Qty Eco Plan (2) Lead/Ball Finish MSL Peak Temp (3)
MPY100AG NRND CDIP SB JD 14 1 Green (RoHS &
no Sb/Br) AU N / A for Pkg Type
MPY100AG3 OBSOLETE CDIP SB JD 14 TBD Call TI Call TI
MPY100AM OBSOLETE TO-100 LME 10 TBD Call TI Call TI
MPY100BG NRND CDIP SB JD 14 1 Green (RoHS &
no Sb/Br) AU N / A for Pkg Type
MPY100BG2 OBSOLETE CDIP SB JD 14 TBD Call TI Call TI
MPY100BM OBSOLETE TO-100 LME 10 TBD Call TI Call TI
MPY100CG NRND CDIP SB JD 14 1 Green (RoHS &
no Sb/Br) AU N / A for Pkg Type
MPY100CG1 OBSOLETE CDIP SB JD 14 TBD Call TI Call TI
MPY100CM OBSOLETE TO-100 LME 10 TBD Call TI Call TI
MPY100SG NRND CDIP SB JD 14 1 Green (RoHS &
no Sb/Br) AU N / A for Pkg Type
MPY100SM OBSOLETE TO-100 LME 10 TBD Call TI Call TI
(1) The marketing status values are defined as follows:
ACTIVE: Product device recommended for new designs.
LIFEBUY: TI has announced that the device will be discontinued, and a lifetime-buy period is in effect.
NRND: Not recommended for new designs. Device is in production to support existing customers, but TI does not recommend using this part in
a new design.
PREVIEW: Device has been announced but is not in production. Samples may or may not be available.
OBSOLETE: TI has discontinued the production of the device.
(2) Eco Plan - The planned eco-friendly classification: Pb-Free (RoHS), Pb-Free (RoHS Exempt), or Green (RoHS & no Sb/Br) - please check
http://www.ti.com/productcontent for the latest availability information and additional product content details.
TBD: The Pb-Free/Green conversion plan has not been defined.
Pb-Free (RoHS): TI's terms "Lead-Free" or "Pb-Free" mean semiconductor products that are compatible with the current RoHS requirements
for all 6 substances, including the requirement that lead not exceed 0.1% by weight in homogeneous materials. Where designed to be soldered
at high temperatures, TI Pb-Free products are suitable for use in specified lead-free processes.
Pb-Free (RoHS Exempt): This component has a RoHS exemption for either 1) lead-based flip-chip solder bumps used between the die and
package, or 2) lead-based die adhesive used between the die and leadframe. The component is otherwise considered Pb-Free (RoHS
compatible) as defined above.
Green (RoHS & no Sb/Br): TI defines "Green" to mean Pb-Free (RoHS compatible), and free of Bromine (Br) and Antimony (Sb) based flame
retardants (Br or Sb do not exceed 0.1% by weight in homogeneous material)
(3) MSL, Peak Temp. -- The Moisture Sensitivity Level rating according to the JEDEC industry standard classifications, and peak solder
temperature.
Important Information and Disclaimer:The information provided on this page represents TI's knowledge and belief as of the date that it is
provided. TI bases its knowledge and belief on information provided by third parties, and makes no representation or warranty as to the
accuracy of such information. Efforts are underway to better integrate information from third parties. TI has taken and continues to take
reasonable steps to provide representative and accurate information but may not have conducted destructive testing or chemical analysis on
incoming materials and chemicals. TI and TI suppliers consider certain information to be proprietary, and thus CAS numbers and other limited
information may not be available for release.
In no event shall TI's liability arising out of such information exceed the total purchase price of the TI part(s) at issue in this document sold by TI
to Customer on an annual basis.
PACKAGE OPTION ADDENDUM
www.ti.com 25-May-2009
Addendum-Page 1
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