®
MPY534
Precision ANALOG MULTIPLIER
FEATURES
q ±0.25% max 4-QUADRANT ACCURACY q WIDE BANDWIDTH: 1MHz min, 3MHz typ q ADJUSTABLE SCALE FACTOR q STABLE AND RELIABLE MONOLITHIC CONSTRUCTION q LOW COST
DESCRIPTION
The MPY534 is a high accuracy, general purpose four-quadrant analog multiplier. Its accurately laser trimmed transfer characteristics make it easy to use in a wide variety of applications with a minimum of external parts and trimming circuitry. Its differential X, Y and Z inputs allow configuration as multiplier, squarer, divider, square-rooter and other functions while maintaining high accuracy. The wide bandwidth of this new design allows accurate signal processing at higher frequencies suitable for video signal processing. It is capable of performing IF and RF frequency mixing, modulation and demodulation with excellent carrier rejection and very simple feedthrough adjustment. An accurate internal voltage reference provides precise setting of the scale factor. The differential Z input allows user selected scale factors from 0.1 to 10 using external feedback resistors.
APPLICATIONS
q PRECISION ANALOG SIGNAL PROCESSING q VIDEO SIGNAL PROCESSING q VOLTAGE CONTROLLED FILTERS AND OSCILLATORS q MODULATION AND DEMODULATION q RATIO AND PERCENTAGE COMPUTATION
Voltage Reference and Bias
+VS –VS Transfer Function
SF
X1 V-I X2 Multiplier Core Y1 V-I Y2 VOUT = A
(X1 – X2) (Y1 – Y2) SF
– (Z1 – Z2)
A Precision Output Op Amp
VOUT
Z1 V-I Z2 0.75 Attenuator
International Airport Industrial Park • Mailing Address: PO Box 11400 Tel: (520) 746-1111 • Twx: 910-952-1111 • Cable: BBRCORP •
©
• Tucson, AZ 85734 • Street Address: 6730 S. Tucson Blvd. • Tucson, AZ 85706 Telex: 066-6491 • FAX: (520) 889-1510 • Immediate Product Info: (800) 548-6132 PDS-614D Printed in U.S.A. October, 1993
1985 Burr-Brown Corporation
SPECIFICATIONS
ELECTRICAL
TA = +25°C and VS = ±15VDC, unless otherwise specified. MPY534J PARAMETER MULTIPLIER PERFORMANCE Transfer Function Total Error(1) (–10V ≤ X, Y ≤ +10V) TA = min to max Total Error vs Temperature Scale Factor Error (SF = 10.000V Nominal)(2) Temperature Coefficient of Scaling Voltage Supply Rejection (±15V ±1V) Nonlinearity: X (X = 20Vp-p, Y = 10V) Y (Y = 20Vp-p, X = 10V) Feedthrough(3) X (Y Nulled, Y = 20Vp-p 50Hz) Y (X Nulled, Y = 20Vp-p 50Hz) Output Offset Voltage Output Offset Voltage Drift DYNAMICS Small Signal BW, (VOUT = 0.1Vrms) 1% Amplitude Error (CLOAD = 1000pF) Slew Rate (VOUT = 20Vp-p) Settling Time (to 1%, ∆VOUT = 20V) NOISE Noise Spectral Density: SF = 10V Wideband Noise: f = 10Hz to 5MHz f = 10Hz to 10kHz OUTPUT Output Voltage Swing Output Impedance (f ≤ 1kHz) Output Short Circuit Current (RL = 0, TA = min to max) Amplifier Open Loop Gain (f = 50Hz) INPUT AMPLIFIERS (X, Y and Z) Input Voltage Range Differential VIN (VCM = 0) Common-Mode VIN (VDIFF = 0) (see Typical Performance Curves) Offset Voltage X, Y Offset Voltage Drift X, Y Offset Voltage Z Offset Voltage Drift Z CMRR Bias Current Offset Current Differential Resistance DIVIDER PERFORMANCE Transfer Function (X1 > X2) Total (X = 10V, –10V ≤ Z ≤ +10V) (X – 1V, –1V ≤ Z ≤+1V) (0.1V ≤ X ≤ 10V, –10V ≤ Z ≤ 10V)
®
MPY534K MAX MIN TYP MAX MIN
MPY534L TYP MAX MIN
MPY534S TYP MAX MIN
MPY534T TYP MAX UNITS
MIN
TYP
*
(X1 – X2)(Y1 – Y2) 10V ±1.0
+ Z2
*
*
*
±1.5 ±0.022 ±0.25 ±0.02 * ±0.4 *
±1.0 ±0.015 ±0.1 ±0.01 ±0.01 ±0.2 ±0.01
±0.5
±0.5 ±0.008 * ±0.005 *
±0.25
±1.0 ±2.0 ±0.02 ±0.25 ±0.02 * ±0.4 * * ±0.005 * * *
* ±1.0 ±0.01
% % %/°C % %/°C %
±0.3 ±0.1
±0.10 ±0.12 ±0.005 *
* *
% %
±0.3 * ±5 200
±0.15 ±0.01 ±2 100
±0.3 ±0.1 ±15
±0.05 ±0.003 * *
±0.12 * ±10
±0.3 * ±5
* * *
* * * 300
% % mV µV/°C
±30
±30 500
*
* * * *
1
3 50 20 2
*
* * * *
*
* * * *
*
* * * *
MHz kHz V/µs µs
* * * * * * * ±11
0.8 1 90 * 0.1 30 70
* * * * * * *
* * * * * * *
* * *
µV/√Hz mVrms µVrms V Ω mA dB
* * *
* *
±12 ±10
* *
* *
* *
V V
60
±5 100 ±5 200 80 * * * *
±20 ±30 70 *
±2 50 ±2 100 90 0.8 0.1 10 (Z2 – Z1) (X1 – X2) ±0.35 ±1.0 ±1.0
±10 ±15 * 2.0
* * * * * * 0.05 *
* ±10 60 * 0.2
±5 100 ±5 80 * * *
±20 ±30 500 * * 2.0
* * * * * * *
* * 300 * 2.0
mV µV/°C mV µV/°C dB µA µA MΩ
10V
+ Y1
Error(1)
±0.75 ±2.0 ±2.5
±0.2 ±0.8 ±0.8
±0.75 ±2.0 ±2.5
* * *
% % %
MPY534
2
SPECIFICATIONS
ELECTRICAL
(CONT)
TA = +25°C and VS = ±15VDC, unless otherwise specified. MPY534J PARAMETER SQUARE PERFORMANCE Transfer Function Total Error (–10V ≤ X ≤ 10V) SQUARE-ROOTER PERFORMANCE Transfer Function (Z1 ≤ Z2) Total Error(1) (1V ≤ Z ≤ 10V) POWER SUPPLY Supply Voltage: Rated Performance Operating Supply Current, Quiescent TEMPERATURE RANGE Operating Storage MIN TYP * 0.6 MAX MIN MPY534K TYP MAX MIN MPY534L TYP * ±0.2 MAX MIN MPY534S TYP * ±0.6 MAX MIN MPY534T TYP * * % MAX UNITS
(X1 – X2)2 10V ±0.3
+ Z2
* ±1.0
√10V(Z2 – Z1) + X2 ±0.5
* ±0.25
* ±1.0
* ±0.5
%
* * * * * * * * * ±8
±15 4
* ±18 6 +70 +150 * * * * * * * * *
* * –55 * ±20 * +125 * *
* * –55 * ±20 * +125 *
VDC VDC mA °C °C
0 –65
*Specifications same as for MPY534K. NOTES: (1) Figures given are percent of full scale, ±10V (i.e., 0.01% = 1mV). (2) May be reduced to 3V using external resistor between –Vs and SF. (3) Irreducible component due to nonlinearity; excludes effect of offsets.
PIN CONFIGURATIONS
Top View
X1 X2 SF Y1 2 3 Y2 4 5 –VS 6 10 1 9 +VS 8 7 Z2 Out Z1
TO-100
Top View
DIP
X1 X2 NC SF NC Y1 Y2
1 2 3 4 5 6 7
14 +VS 13 NC 12 Out 11 Z1 10 Z2 9 8 NC –VS
ABSOLUTE MAXIMUM RATINGS
PARAMETER Power Supply Voltage Power Dissipation Output Short-Circuit to Ground Input Voltage (all X, Y and Z) Operating Temperature Range Storage Temperature Range Lead Temperature (soldering, 10s) *Specification same as for MPY534K. MPY534J, K, L MPY534S, T ±18 ±20 500mW * Indefinite * ±VS * 0°C to +70°C –55°C to +125°C –65°C to +150°C * +300°C *
ORDERING INFORMATION
MODEL MPY534JD MPY534JH MPY534KD MPY534KH MPY534LD MPY534LH MPY534SD MPY534SH MPY534TD MPY534TH PACKAGE Ceramic DIP Metal TO-100 Ceramic DIP Metal TO-100 Ceramic DIP Metal TO-100 Ceramic DIP Metal TO-100 Ceramic DIP Metal TO-100 TEMPERATURE RANGE 0°C to +70°C 0°C to +70°C 0°C to +70°C 0°C to +70°C 0°C to +70°C 0°C to +70°C –55°C to +125°C –55°C to +125°C –55°C to +125°C –55°C to +125°C
PACKAGE INFORMATION
MODEL MPY534JD MPY534JH MPY534KD MPY534KH MPY534LD MPY534LH MPY534SD MPY534SH MPY534TD MPY534TH PACKAGE Ceramic DIP Metal TO-100 Ceramic DIP Metal TO-100 Ceramic DIP Metal TO-100 Ceramic DIP Metal TO-100 Ceramic DIP Metal TO-100 PACKAGE DRAWING NUMBER(1) 169 007 169 007 169 007 169 007 169 007
NOTE: (1) For detailed drawing and dimension table, please see end of data sheet, or Appendix D of Burr-Brown IC Data Book.
®
3
MPY534
DICE INFORMATION
PAD 1 2 3 4 5 6 7 8 9 10
FUNCTION Y1 Y2 –VS Z2 Z1 Output +VS X1 X2 SF (Scale Factor)
Substrate Bias: The back of the die should not be used for the –VS connection. NC = No Connection.
MECHANICAL INFORMATION
MILS (0.001") Die Size Die Thickness Min. Pad Size Backing 100 x 92 ±5 20 ±3 4x4 MILLIMETERS 2.54 x 2.34 ±0.13 0.51 ±0.08 0.10 x 0.10 Gold
MPY534 DIE TOPOGRAPHY
TYPICAL PERFORMANCE CURVES
TA = +25°C, VS = ±15VDC, unless otherwise noted. AC FEEDTHROUGH vs FREQUENCY 1k
800 700 BIAS CURRENTS vs TEMPERATURE (X,Y or Z Inputs)
Peak-to-Peak Feedthrough (mV)
100 Bias Current (nA)
600 500 Scaling Voltage = 10V 400 300 Scaling Voltage = 3V 200 100
10
X Feedthrough
1
Y Feedthrough
0.1 10 100 1k 10k 100k 1M 10M Frequency (Hz)
0 –60 –40 –20 0 20 40 60 80 100 120 140 Temperature (°C)
INPUT DIFFERENTIAL-MODE/COMMON-MODE VOLTAGE
COMMON-MODE REJECTION RATIO vs FREQUENCY 90 80 70
CMRR (dB)
10
VCM
Typical for all inputs
–12 –10 –5
5
60 50 40 30 20 10 0 100 1k 10k Frequency (Hz)
®
Specified Accuracy 5 VS = ±15V 10 12 VDIFF
–5
100k
1M
–10 Functional Derated Accuracy
MPY534
4
TYPICAL PERFORMANCE CURVES (CONT)
TA = +25°C, ±VCC = 15VDC, unless otherwise noted.
NOISE SPECTRAL DENSITY vs FREQUENCY 1.5
FREQUENCY RESPONSE vs DIVIDER DENOMINATOR INPUT VOLTAGE 50 40
Output, VO/ VZ (dB)
Noise Spectral Density (µV/√Hz)
1.25
30 20 10 0 –10
VX = 100mVDC VZ = 10mVrms VX = 1VDC VZ = 100mVrms
1
0.75
VX = 10VDC VZ = 1Vrms
0.5 10 100 1k Frequency (Hz) 10k 100k
–20 1k 10k 100k Frequency (Hz) 1M 10M
INPUT/OUTPUT SIGNAL RANGE vs SUPPLY VOLTAGES 14
Peak Positive or Negative Signal (V)
10
FREQUENCY RESPONSE AS A MULTIPLIER 0dB = 0.1Vrms; RL = 2kΩ
Output Response (dB)
12 Output, RL ≥ 2kΩ 10 All Inputs, SF = 10V 8
CL = 1000pF
0 CL = 0pF –10 CL ≤ 1000pF CF = 0pF CL ≤ 1000pF CF ≤ 200pF
6 4 8 10 12 14 16 18 20 Positive or Negative Supply (V)
–20
–30 10k 100k
With X10 Feedback Attenuator 1M
Normal Connection
10M
Frequency (Hz)
THEORY OF OPERATION
The transfer function for the MPY534 is: VOUT = A where: A = Open-loop gain of the output amplifier (typically 85dB at DC). SF = Scale Factor. Laser-trimmed to 10V but adjustable over a 3V to 10V range using external resistor. X, Y, A are input voltages. Full-scale input voltage is equal to the selected SF. (Max input voltage = ±1.25 SF.) An intuitive understanding of transfer function can be gained by analogy to an op amp. By assuming that the open-loop gain, A, of the output amplifier is infinite, inspection of the transfer function reveals that any VOUT can be created with an infinitesimally small quantity within the brackets. Then, 5 (X1 – X2) (Y1 – Y2) SF – (Z1 – Z2) an application circuit can be analyzed by assigning circuit voltages for all X, Y and Z inputs and setting the bracketed quantity equal to zero. For example, the basic multiplier connection in Figure 1, Z1 = VOUT and Z2 = 0. The quantity within the brackets then reduces to: (X1 – X2) (Y1 – Y2) SF – (VOUT – 0) = 0
This approach leads to a simple relationship which can be solved for VOUT. The scale factor is accurately factory-adjusted to 10V and is typically accurate to within 0.1% or less. The scale factor may be adjusted by connecting a resistor or potentiometer between pin SF and the –VS power supply. The value of the external resistor can be approximated by: RSF = 5.4kΩ SF 10 – SF
®
MPY534
Internal device tolerances make this relationship accurate to within approximately 25%. Some applications can benefit from reduction of the SF by this technique. The reduced input bias current and drift achieved by this technique can be likened to operating the input circuitry in a higher gain, thus reducing output contributions to these effects. Adjustment of the scale factor does not affect bandwidth. The MPY534 is fully characterized at VS = ±15V, but operation is possible down to ±8V with an attendant reduction of input and output range capability. Operation at voltages greater than ±15V allows greater output swing to be achieved by using an output feedback attenuator (Figure 2). BASIC MULTIPLIER CONNECTION Figure 1 shows the basic connection as a multiplier. Accuracy is fully specified without any additional user trimming circuitry. Some applications can benefit from trimming one or more of the inputs. The fully differential inputs facilitate referencing the input quantities to the source voltage common terminal for maximum accuracy. They also allow use of simple offset voltage trimming circuitry as shown on the X input. The differential Z input allows an offset to be summed in VOUT. In basic multiplier operation, the Z2 input serves as the output voltage reference and should be connected to the ground reference of the driven system for maximum accuracy. A method of changing (lowering) SF by connecting to the SF pin was discussed previously. Figure 2 shows another method of changing the effective SF of the overall circuit using an attenuator in the feedback connection to Z1. This method puts the output amplifier in a higher gain and is thus accompanied by a reduction in bandwidth and an increase in output offset voltage. The larger output offset may be reduced by applying a trimming voltage to the high impedance input Z2. The flexibility of the differential Z inputs allows direct conversion of the output quantity to a current. Figure 3 shows the output voltage differentially-sensed across a series resistor forcing an output-controlled current. Addition of a capacitor load then creates a time integration function useful in a variety of applications such as power computation. SQUARER CIRCUIT Squarer operation is achieved by paralleling the X and Y inputs of the standard multiplier circuit. Inverted output can be achieved by reversing the differential input terminals of either the X or Y input. Accuracy in the squaring mode is typically a factor of two better than the specified multiplier mode with maximum error occurring with small (less than 1V) inputs. Better accuracy can be achieved for small input voltage levels by using a reduced SF value.
X Input ±10V FS ±12V PK +15V 50kΩ 470kΩ 1kΩ
X1
+VS
+15V
X2
Out VOUT, ±12V PK = (X1 – X2) (Y1 – Y2) 10V + Z2
MPY534 SF Z1
–15V Optional Offset Trim Circuit
Y1
Z2
Y Input ±10V FS ±12V PK
Y2
–VS
–15V
Optional Summing Input, Z, ±10V PK
FIGURE 1. Basic Multiplier Connection.
X Input ±10V FS ±12V PK
X1
+VS
+15V
VOUT, ±12V PK = (X1 – X2) (Y1 – Y2) (Scale = 1V)
X2
Out
MPY534 SF Z1 90kΩ Optional Peaking Capacitor CF = 200pF
Y Input ±10V FS ±12V PK
Y1
Z2 10kΩ
Y2
–VS
–15V
FIGURE 2. Connections for Scale-Factor of Unity.
X Input ±10V FS ±12V PK
X1
+VS
+15V IOUT =
X2
Out
(X1 – X2) (Y1 – Y2) 10V
x
1 RS
MPY534 SF Z1
Y1
Z2
Y Input ±10V FS ±12V PK
Y2
–VS
–15V
Current Sensing Resistor, RS, 2kΩ min
Integrator Capacitor (see text)
FIGURE 3. Conversion of Output to Current. DIVIDER CIRCUIT The MPY534 can be configured as a divider as shown in Figure 4. High impedance differential inputs for the numerator and denominator are achieved at the Z and X inputs, respectively. Feedback is applied to the Y2 input, and Y1 can be summed directly into VOUT. Since the feedback connection is made to a multiplying input, the effective gain of the output op amp varies as a function of the denominator input voltage. Therefore, the bandwidth of the divider function is proportional to the denominator voltage (see Typical Performance Curves). 6
®
MPY534
Accuracy of the divider mode typically ranges from 0.75% to 2.0% for a 10 to 1 denominator range depending on device grade. Accuracy is primarily limited by input offset voltages and can be significantly improved by trimming the offset of the X input. A trim voltage of ±3.5mV applied to the “low side” X input (X2 for positive input voltages on X1) can produce similar accuracies over a 100 to 1 denominator range. To trim, apply a signal which varies from 100mV to 10V at a low frequency (less than 500Hz) to both inputs. An offset sine wave or ramp is suitable. Since the ratio of the quantities should be constant, the ideal output would be a constant 10V. Using AC coupling on an oscilloscope, adjust the offset control for minimum output voltage variation.
APPLICATIONS
A A–B 2 10kΩ X1 +VS +15V VOUT = (A2 – B2)/10V X2 Out 30kΩ MPY534 SF 10kΩ B (A + B) 2 Y1 Z2 Z1 10kΩ
Y2
–VS
–15V
Output, ±12V PK + X Input (Denominator) ±10V FS ±12V PK – X1 +VS +15V VOUT = X2 Out Z Input (Numerator) ±10V FS, ±12V PK 10V(Z2 – Z1) (X1 – X2) + Y1
FIGURE 6. Difference-of-Squares.
MPY534 Optional Summing Input ±10V PK SF Z1
X1 Control Input, EC, Zero to ±5V X2 Set Gain 1kΩ 2kΩ
+VS +15V Out VOUT = ±12V PK = (EC ES)/0.1V 39kΩ
Y1
Z2
MPY534 SF Z1
Y2
–VS
–15V
–VS Y1
1kΩ Z2
0.005µF
FIGURE 4. Basic Divider Connection. SQUARE-ROOTER A square-rooter connection is shown in Figure 5. Input voltage is limited to one polarity (positive for the connection shown). The diode prevents circuit latch-up should the input go negative. The circuit can be configured for negative input and positive output by reversing the polarity of both the X and Y inputs. The output polarity can be reversed by reversing the diode and X input polarity. A load resistance of approximately 10kΩ must be provided. Trimming for improved accuracy would be accomplished at the Z input.
Signal Input, ES, ±5V PK Y2 –VS –15V
NOTES: (1) Gain is X10 per volt of EC, zero to X50. (2) Wideband (10Hz to 30Hz) output noise is 3mVrms, typ, corresponding to a FS S/N ratio of 70dB. (3) Noise referred to signal input, with EC = ±5V, is 60µVrms, typ. (4) Bandwidth is DC to 20kHz, –3dB, indepedent of gain.
FIGURE 7. Voltage-Controlled Amplifier.
Output, ±12V PK VOUT = 10V(Z2 – Z1) + X2 1kΩ X1 Optional Summing 400pF Input, X, ±10V PK +VS
X1
+VS
+15V
X2
Out 4.7kΩ
+15V
X2
Out
MPY634 SF Z1
Reverse this and X inputs for Negative Outputs
RL (Must be Provided)
18kΩ 10kΩ
MPY534 SF Z1
VOUT = (10V) sinθ Where θ = (π /2) (Eθ /10V)
4.3kΩ Y1 Z2 3kΩ Y2 –VS –15V
Input, Eθ 0 to +10V
Y1
Z2
Z Input 10V FS 12V PK
Y2
–VS
–15V
FIGURE 8. Sine-Function Generator.
FIGURE 5. Square-Rooter Connection.
®
7
MPY534
Modulation Input, ±EM X1 +VS
+15V
9kΩ X1 +VS +15V VOUT = (100V) X2 1kΩ Out MPY534 SF Z1 A–B B
X2 X2
Out VOUT = 1 ± (EM/10V) EC sin ωt
MPY534 SF Z1
Carrier Input EC sin ωt Y1 Z2
Y1
Z2
A Input (±)
Y2
–VS
–15V
Y2
–VS
–15V
The SF pin or a Z-attenuator can be used to provide overall signal amplification. Operation from a single supply is possible; bias Y2 to VS/2.
B Input (Postive Only)
FIGURE 9. Linear AM Modulator.
FIGURE 10. Percentage Computer.
X1
+VS
+15V VOUT = ±5V PK Y' 1 + Y' Y (10V)
X2
Out
MPY534 SF Input, Y ±10V FS Y1 Z2 Z1
= (10V)
Where Y' =
Y2
–VS
–15V
FIGURE 11. Bridge-Linearization Function.
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.
®
MPY534
8