MLT04
MLT04
Analog Multiplier
                                                                                                                              MLT04
   FEATURES                                                                                                                               FUNCTIONAL BLOCK DIAGRAM
   Four Independent Channels                                                                                                                 18-Lead Epoxy DIP (P Suffix)
   Voltage IN, Voltage OUT                                                                                                                18-Lead Wide Body SOIC (S Suffix)
   No External Parts Required
   8 MHz Bandwidth                                                                                                                           W1        1                             18    W4
   Four-Quadrant Multiplication
   Voltage Output; W = (X × Y)/2.5 V                                                                                                      GND1         2                             17 GND4
100
                    40
                            V CC = +5V                                                                                                     VCC = +5V
                            V EE = –5V                                                                                                     V = –5V
                                                                                                                               10           EE
                            T A = +25°C                                                                                                    TA = +25°C
                    20                                                        90
                                                                                    Ø – Phase Degrees
                                                                                                             THD + NOISE – %
     Av GAIN – dB
                                                                   8.9MHz
                                                   Av (X OR Y)     –3dB
                    0                                                         0                                                 1
                                                                                                                                                            LPF = 500kHz
Figure 1. Gain & Phase vs. Frequency Response Figure 2. THD + Noise vs. Frequency
REV. B
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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                                  One Technology Way, P.O. Box 9106, Norwood. MA 02062-9106, U.S.A.
otherwise under any patent or patent rights of Analog Devices.                                          Tel: 617/329-4700                              Fax: 617/326-8703
MLT04–SPECIFICATIONS (V                                                CC   = +5 V, VEE = –5 V, VIN = ±2.5 VP, RL = 2 kΩ, TA = +25°C unless otherwise noted.)
MULTIPLIER PERFORMANCE 1
  Total Error2 X                               EX             –2.5 V < X < +2.5 V, Y = +2.5 V                                      –5        ±2       5         % FS
  Total Error2 Y                               EY             –2.5 V < Y < +2.5 V, X = +2.5 V                                      –5        ±2       5         % FS
  Linearity Error2 X                           LEX            –2.5 V < X < +2.5 V, Y = +2.5 V                                      –1        ± 0.2    +1        % FS
  Linearity Error2 Y                           LEY            –2.5 V < Y < +2.5 V, X = +2.5 V                                      –1        ± 0.2    +1        % FS
  Total Error Drift                            TCEX           X = –2.5 V, Y = 2.5 V, TA = –40°C to +85°C                                     0.005              %/°C
  Total Error Drift                            TCEY           Y = –2.5 V, X = 2.5 V, TA = –40°C to +85°C                                     0.005              %/°C
  Scale Factor3                                K              X = ± 2.5 V, Y = ± 2.5 V, TA = –40°C to +85°C                        0.38      0.40     0.42      1/V
  Output Offset Voltage                        ZOS            X = 0 V, Y = 0 V, TA= –40°C to +85°C                                 –50       ± 10     50        mV
  Output Offset Drift                          TCZOS          X = 0 V, Y = 0 V, TA= –40°C to +85°C                                           50                 µV/°C
  Offset Voltage, X                            XOS            X = 0 V, Y = ± 2.5 V, TA = –40°C to +85°C                            –50       ± 10.5   50        mV
  Offset Voltage, Y                            YOS            Y = 0 V, X = ± 2.5 V, TA = –40°C to +85°C                            –50       ± 10.5   50        mV
DYNAMIC PERFORMANCE
  Small Signal Bandwidth                       BW             VOUT = 0.1 V rms                                                               8                  MHz
  Slew Rate                                    SR             VOUT = ± 2.5 V                                                       30        53                 V/µs
  Settling Time                                tS             VOUT = ∆2.5 V to 1% Error Band                                                 1                  µs
  AC Feedthrough                               FTAC           X = 0 V, Y = 1 V rms @ f = 100 kHz                                             –65                dB
  Crosstalk @ 100 kHz                          CTAC           X = Y = 1 V rms Applied to Adjacent Channel                                    –90                dB
OUTPUTS
  Audio Band Noise                             EN             f = 10 Hz to 50 kHz                                                            76                 µV rms
  Wide Band Noise                              EN             Noise BW = 1.9 MHz                                                             380                µV rms
  Spot Noise Voltage                           eN             f = 1 kHz                                                                      0.3                µV/√Hz
  Total Harmonic Distortion                    THDX           f = 1 kHz, LPF = 22 kHz, Y = 2.5 V                                             0.1                %
                                               THDY           f = 1 kHz, LPF = 22 kHz, X = 2.5 V                                             0.02               %
    Open Loop Output Resistance                ROUT                                                                                          40                 Ω
    Voltage Swing                              VPK            VCC = +5 V, VEE = –5 V                                               ± 3.0     ± 3.3              VP
    Short Circuit Current                      ISC                                                                                           30                 mA
INPUTS
  Analog Input Range                           IVR            GND = 0 V                                                            –2.5               +2.5      V
  Bias Current                                 IB             X=Y=0V                                                                         2.3      10        µA
  Resistance                                   RIN                                                                                           1                  MΩ
  Capacitance                                  CIN                                                                                           3                  pF
SQUARE PERFORMANCE
  Total Square Error                           ESQ            X=Y=1                                                                          5                  % FS
POWER SUPPLIES
  Positive Current                             ICC            VCC = 5.25 V, VEE = –5.25 V                                                    15       20        mA
  Negative Current                             IEE            VCC = 5.25 V, VEE = –5.25 V                                                    15       20        mA
  Power Dissipation                            PDISS          Calculated = 5 V × ICC + 5 V × IEE                                             150      200       mW
  Supply Sensitivity                           PSSR           X = Y = 0 V, VCC = ∆5% or VEE = ∆5%                                                     10        mV/V
  Supply Voltage Range                         VRANGE         For VCC & VEE                                                        ± 4.75             ± 5.25    V
NOTES
1
  Specifications apply to all four multipliers.
2
  Error is measured as a percent of the ± 2.5 V full scale, i.e., 1% FS = 25 mV.
3
  Scale Factor K is an internally set constant in the multiplier transfer equation W = K × X × Y.
Specifications subject to change without notice.
                                                                                        –2–                                                                          REV. B
                                                                                                                                                  MLT04
FUNCTIONAL DESCRIPTION                                                                     ANALOG MULTIPLIER ERROR SOURCES
The MLT04 is a low cost quad, 4-quadrant analog multiplier with                            Multiplier errors consist primarily of input and output offsets, scale
single-ended voltage inputs and voltage outputs. The functional                            factor errors, and nonlinearity in the multiplying core. An expres-
block diagram for each of the multipliers is illustrated in Figure 3.                      sion for the output of a real analog multiplier is given by:
Due to packaging constraints, access to internal nodes for externally
adjusting scale factor, output offset voltage, or additional summing                          V O = ( K + ∆K ){(VX + X OS )(V Y + Y OS ) + ZOS + f ( X , Y )}
signals is not provided.                                                                   where:     K         =   Multiplier Scale Factor
                                       +VS                                                            ∆K        =   Scale Factor Error
                                                                                                      VX        =   X-Input Signal
        X1, X2, X3, X4                        MLT04                                                   XOS       =   X-Input Offset Voltage
                                                                                                      VY        =   Y-Input Signal
       G1, G2, G3, G4            0.4                          W1, W2, W3, W4
                                                                                                      YOS       =   Y-Input Offset Voltage
                                                                                                      ZOS       =   Multiplier Output Offset Voltage
                                                                                                      ƒ(X, Y)   =   Nonlinearity
        Y1, Y2, Y3, Y4
                                                                                           Executing the algebra to simplify the above expression yields
                                       –VS                                                 expressions for all the errors in an analog multiplier:
       Figure 3. Functional Block Diagram of Each MLT04
       Multiplier
                                                                                           Term         Description                 Dependence on Input
Each of the MLT04’s analog multipliers is based on a Gilbert cell                          KVXVY        True Product                Goes to Zero As Either or
multiplier configuration, a 1.23 V bandgap reference, and a unity-                                                                  Both Inputs Go to Zero
connected output amplifier. Multiplier scale factor is determined                          ∆KVYVY       Scale-Factor Error          Goes to Zero at VX, VY = 0
through a differential pair/trimmable resistor network external to
the core. An equivalent circuit for each of the multipliers is shown                       VXYOS        Linear “X” Feedthrough      Proportional to VX
in Figure 4.                                                                                            Due to Y-Input Offset
                                                                                           VYXOS        Linear “Y” Feedthrough      Proportional to VY
       VCC                                                                                              Due to X-Input Offset
                                                                                           XOSYOS       Output Offset Due to X-,    Independent of VX, VY
                                                                               W                        Y-Input Offsets
 INTERNAL                                                                      OUT
      BIAS
                                                                                           ZOS          Output Offset               Independent of VX, VY
                                                                                           ƒ(X, Y)      Nonlinearity                Depends on Both V X, VY.
                                                                                                                                    Contains Terms Dependent
       XIN                                                  22k
                   22k             22k                                SCALE                                                         on VX, VY, Their Powers
                                                                      FACTOR                                                        and Cross Products
      GND
       YIN
                 200µA   200µA   200µA       200µA         200µA   200µA
      VEE
                                                                                           As shown in the table, the primary static errors in an analog
                                                                                           multiplier are input offset voltages, output offset voltage, scale
             Figure 4. Equivalent Circuit for the MLT04                                    factor, and nonlinearity. Of the four sources of error, only two are
                                                                                           externally trimmable in the MLT04: the X- and Y-input offset
Details of each multiplier’s output-stage amplifier are shown in                           voltages. Output offset voltage in the MLT04 is factory-trimmed to
Figure 5. The output stages idles at 200 µA, and the resistors in                          ± 50 mV, and the scale factor is internally adjusted to ± 2.5% of full
series with the emitters of the output stage are 25 Ω. The output                          scale. Input offset voltage errors can be eliminated by using the
stage can drive load capacitances up to 500 pF without oscillation.                        optional trim circuit of Figure 6. This scheme then reduces the net
For loads greater than 500 pF, the outputs of the MLT04 should                             error to output offset, scale-factor (gain) error, and an irreducible
be isolated from the load capacitance with a 100 Ω resistor.                               nonlinearity component in the multiplying core.
                                                     VCC                                                +VS
                                                                                                                50kΩ     I
                                                                                                                                   ±100mV
                                                                                                     50kΩ                          FOR XOS, YOS TRIM
                                             25Ω
                                                                                                                                   CONNECT TO SUM
                                                     W                                                                             NODE OF AN EXT OP AMP
                                                     OUT
                                             25Ω                                                        –VS
VEE
REV. B                                                                               –3–
MLT04
Feedthrough
In the ideal case, the output of the multiplier should be zero if
                                                                                                         100
either input is zero. In reality, some portion of the nonzero input
                                                                                    VERTICAL – 5mV/DIV
                                                                                                         90
will “feedthrough” the multiplier and appear at the output. This is
caused by the product of the nonzero input and the offset voltage of
the “zero” input. Introducing an offset equal to and opposite of the
“zero” input offset voltage will null the linear component of the                                                     X-INPUT: ±2.5V @ 10Hz
feedthrough. Residual feedthrough at the output of the multiplier                                        10
                                                                                                                      Y-INPUT: +2.5V
                                                                                                                      YOS NULLED
                                                                                                         0%
is then irreducible core nonlinearity.                                                                                T = +25°C
                                                                                                                       A
                                                                                    VERTICAL – 5mV/DIV
                                   90          TA = +25°C                                                90
Figure 7. X-Input Feedthrough with YOS Nulled Figure 10. X-Input Nonlinearity @ Y = –2.5 V
                                                                                                         90
            VERTICAL – 5mV/DIV
                                  90           TA = +25°C
                                                                                                                      TA = +25°C
10 10
0% 0%
Figure 8. Y-Input Feedthrough with XOS Nulled Figure 11. Y-Input Nonlinearity @ X = +2.5 V
Nonlinearity
                                                                                                                      Y-INPUT: ±2.5V @ 10Hz
Multiplier core nonlinearity is the irreducible component of error.                                      100
                                                                                                                      X-INPUT: –2.5V
                                                                                                                      XOS NULLED
It is the difference between actual performance and “best-straight-
                                                                                    VERTICAL – 5mV/DIV
                                                                                                         90
                                                                                                                      T = +25°C
                                                                                                                       A
line” theoretical output, for all pairs of input values. It is expressed
as a percentage of full scale with all other dc errors nulled. Typical
X- and Y-input nonlinearities for the MLT04 are shown in Figures
9 through 12. Worst-case X-input nonlinearity measured less than
                                                                                                         10
0.2%, and Y-input nonlinearity measured better than 0.06%. For                                           0%
modulator/demodulator or mixer applications it is, therefore,
recommended that the carrier be connected to the X-input while
the signal is applied to the Y-input.                                                                          HORIZONTAL – 0.5V/DIV
                                                                           –4–                                                                REV. B
                                                                                                                     Typical Performance Characteristics – MLT04
                                                                                                                                                12                                                                   180
                                                                                                                                                                                                   TA = +25°C
                                                                                                                                                 9                                                 V = ±5V           135
                                                                                                                                                                                                     S
                                                                                                                                                                                                   VX = 100mV
                                                                                                                                                 6                                                 VY = +2.5V        90
                                       OUTPUT NOISE VOLTAGE – 100µV/DIV
                                                                                                                                                                                                                            PHASE – Degrees
                                                                                              NBW = 10Hz –50kHz                                  3                                                                   45
                                                                                                                                GAIN –dB
                                                                          100
                                                                                              TA = +25°C                                                                                          GAIN
                                                                          90                                                                     0                                                                   0
                                                                                                                                                –3                                                                   –45
                                                                                                                                                                                                   PHASE
                                                                                                                                                –6                                                                   –90
Figure 13. Broadband Noise Figure 16. X-Input Gain and Phase vs. Frequency
                                                                                                                                           12                                                                        180
                                                                                                                                                                                                 T A = +25°C
                                                                                                                                                9                                                V S = ±5V           135
                                                                                                                                                                                                 V X = +2.5V
                                                                                                                                                6                                                V Y = 100mV         90
                                       OUTPUT NOISE VOLTAGE – 625µV/DIV
                                                                                                                                                                                                                            PHASE – Degrees
                                                                                                 NBW = 1.9MHz                                   3                                                                    45
                                                                                                 TA = +25°C
                                                                                                                                GAIN –dB
                                                                          100
                                                                                                                                                                                                  GAIN
                                                                          90
                                                                                                                                                0                                                                    0
                                                                                                                                           –3                                                                        –45
                                                                                                                                                                                                  PHASE
                                                                                                                                           –6                                                                        –90
                                                                          10
                                                                          0%
                                                                                                                                           –9                                                 PHASE = 68.1°          –135
                                                                                                                                                                                              @ 8.064 MHz
                                                                                                                                    –12                                                                            –180
                                                                                                                                       10k                             100k             1M                      10M
                                                                                      TIME = 10ms/DIV                                                                     FREQUENCY – Hz
Figure 14. Broadband Noise Figure 17. Y-Input Gain and Phase vs. Frequency
10000 8
                                                                                                                                                    6
                                                                                                        VS = ±5V                                                                         CL= 320pF
                                                                                                                                                                                                         CL= 560pF
                                                                                                        TA = +25°C                                  4
                                                                                                                                                                                 CL= 220pF
    Hz
                                                                                                                                                    2
                          1000
    NOISE DENSITY – nV/
AV GAIN – dB
                                                                                                                                                –2                            NO CL
                                                                                                                                                –4                               CL= 100pF
                           100
                                                                                                                                                –6
                                                                                                                                                             VS = ±5V
                                                                                                                                                –8           RL = 2kΩ
                                                                                                                                                             TA = +25°C
                                                                                                                                                –10
                             0                                                                                                                  –12
                                  10                                            100    1k      10k         100k      1M                                 1k       10k         100k      1M            10M         100M
                                                                                      FREQUENCY – Hz                                                                         FREQUENCY – Hz
Figure 15. Noise Density vs. Frequency Figure 18. Amplitude Response vs. Capacitive Load
REV. B                                                                                                                    –5–
MLT04 – Typical Performance Characteristics
                            0
                                                                                                                                                                    ΩX-INPUT = +2.5V
                                      VS = ±5V
                                                                                                                                                   100
                                                                                                                                                                     RL = 10kΩ
                                      TA = +25°C
                                                                                                                        VERTICAL – 50mV/DIV
                         –20                                                                                                                       90                   TA = +25°C
      FEEDTHROUGH – dB
                         –40                                           VX = 0V
                                                                       VY = 1Vpk
                                                                                                                                                   10
                         –60                                                                                                                       0%
                                                                               VY = 0V
                         –80                                                   VX = 1Vpk
                                                                                                                                                          TIME – 100ns/DIV
                                                                                                                          VERTICAL – 50mV/DIV
                                                                                                                                                    90                TA = +25°C
                           0
                                                                               TA = 25°C
                                                                               VS = ±5V
                         –20                                                   VX = ±2.5Vpk
                                                                               VY = +2.5VDC                                                         10
                                                                                                                                                    0%
  CROSSTALK – dB
–40
                   –120
                                                                                                                                                    100
                               1k                10k         100k                  1M              10M
                                                                                                                                                    90
                                                                                                                               VERTICAL – 1V/DIV
FREQUENCY – Hz
                                                                                                                                                    10
                                                                                                                                                          ΩX-INPUT: +2.5V
                                                                                                                                                    0%     RL = 10kΩ
                          2.0
                                                                                                                                                           TA = +25°C
                          1.5                                                 ΩVS = ±5V
                                                                               RL = 2kΩ
                          1.0                                                  TA = +25°C                                                                   TIME = 100ns/DIV
                                                   Y = 100mV RMS
                                                   X = 2.5VDC
                          0.5
                                                                                                                Figure 24. Y-Input Large-Signal Transient Re-
  AV GAIN – dB
                           0                                                                                    sponse, CL = 30 pF
                         –0.5                     X = 100mV RMS
                                                  Y = 2.5VDC
                         –1.0
                         –1.5                                                                                                                      100
                                                                                                                                                    90
                                                                                                                        VERTICAL – 1V/DIV
–2.0
–2.5
                         –3.0
                                1k          10k          100k           1M              10M        100M
                                                        FREQUENCY – Hz                                                                                    ΩX-INPUT: +2.5V
                                                                                                                                                    10
                                                                                                                                                    0%
                                                                                                                                                           RL = 10kΩ
                                                                                                                                                           TA = +25°C
                                 Figure 21. Gain Flatness vs. Frequency
                                                                                                                                                           TIME = 100ns/DIV
                                                                                                          –6–                                                                           REV. B
                                                                                                                                                                                                                                                                                                MLT04
                                                            1                                                                                                                                                                      9                                                                     80
                                                                                                                                                                                                                                                                                          VS = ±5V
                                                                                                                                                                                                                                                                                          VX = +2.5V
                                                                                                         X-INPUT
                                                                                                     Y = +2.5VDC                                                                                                                                                                          V = 100mV
                                                                                                                                                                                                                                                                                           Y
                                                                                                                                                                                                         –3dB-BANDWIDTH – MHz
                                           0.1                                                                                                                                                                                                              –3dB BW
  THD + NOISE – %
                                                                                                                                                                                                                                   7                                                                     70
                                                                      ΩVS = ±5V
                                                                       RL = 2kΩ
                             0.01                                      T A = +25° C
                                                                                                                                                                                                                                                            PHASE @ –3dB BW
                                                                       fO = 1kHz
                                                                                                                                                                                                                                   6                                                                     65
                                                                       FLPF = 22kHz
                                                                                                 Y-INPUT
                                                                                             X = +2.5VDC
                    0.001                                                                                                                                                                                                          5                                                                      60
                                                                0.1                              1                                 10                                                                                               –75       –50    –25       0    25    50         75       100      125
                                                                                INPUT SIGNAL LEVEL – Volts P-P                                                                                                                                                TEMPERATURE – °C
Figure 26. THD + Noise vs. Input Signal Level Figure 29. Y-Input Gain Bandwidth vs. Temperature
                                               0.3                                                                                                                                                                                 8
                                                                               ≤V = +2.5V, –2.5V ≤ V ≤ +2.5V
                                                                                 X                  Y                   Vs = ±5V
                                                                                V = +2.5V, –2.5V ≤ V ≤ +2.5V
                                                                                                                                                                                                                                   6
                LINEARTY ERROR – %
                                               0.1                                                                                                                                                                                                                               1%
                                                                                                                                                                                                                                                                             DISTORTION
                                                                                                                                                                                                                                   5
0 4
                                                                                                                                                                                                                                   3
                                        –0.1
                                                                                                                                                                                                                                   2         ΩTA = +25°C
                                 –0.2                                                                                                                                                                                                         RL = 2kΩ
                                                                                                                                                                                                                                   1          VS = ±5V
                                        –0.3                                                                                                                                                                                       0
                                            –75                          –50    –25      0      25        50       75     100      125                                                                                                  1k            10k             100k           1M                10M
                                                                                       TEMPERATURE – °C                                                                                                                                                        FREQUENCY – Hz
Figure 27. Linearity Error vs. Temperature Figure 30. Maximum Output Swing vs. Frequency
                                                            9                                                                           80                                                                                        4.5
                                                                                                               V = ±5V
                                                                                                                S
                                                                                                               V = 100mV                                                                                                          4.0
                                                                                                                   X
                                                                                                               V = +2.5V
                                                                                                                   Y                                                                                                                                POSITIVE SWING
                                                                                                                                                                                                                                  3.5
                                                                                                                                             PHASE @ –3dB BW – Degrees
                                                            8                                                                           75
                                     –3dB-BANDWIDTH – MHz
3.0
                                                                                      –3dB BW
                                                                                                                                                                                                                                  2.5
                                                            7                                                                           70
                                                                                                                                                                                                                                  2.0
                                                                                                                                                                                                                                                                      NEGATIVE SWING
                                                                                      PHASE @ –3dB BW                                                                                                                             1.5
                                                            6                                                                           65
                                                                                                                                                                                                                                  1.0
                                                                                                                                                                                                                                                                                     VS = ±5V
                                                                                                                                                                                                                                  0.5                                                TA = +25°C
                                                            5                                                                         60                                                                                            0
                                                             –75         –50    –25      0      25        50       75      100     125                                                                                                  10                   100                1k                     10k
                                                                                        TEMPERATURE – °C                                                                                                                                                    ΩLOAD RESISTANCE – Ω
Figure 28. X-Input Gain Bandwidth vs. Temperature Figure 31. Maximum Output Swing vs. Resistive Load
REV. B                                                                                                                                                                   –7–
MLT04
            300                                                                                                                       0.407
                         SS = 1000 MULTIPLIERS                          TA = +25°C                                                                                                                                    VS = ±5V
                                                                        V = ±5V                                                                                                                                       NO LOAD
                                                                            S
            250                                                         X = ±2.5V                                                     0.406
150
                                                                                                                                      0.404
            100
                                                                                                                                      0.403
                 50
                  0                                                                                                                   0.402
                  –12.5 –10      –7.5     –5 –2.5    0   2.5   5            7.5     10    12.5                                             –75                           –50        –25         0     25    50        75               100   125
                                            OFFSET VOLTAGE – mV                                                                                                                                TEMPERATURE – °C
Figure 32. Offset Voltage Distribution Figure 35. Scale Factor vs. Temperature
                                                                                                                                                          400
                 6
                                                                                                                                                                                                                       T = +25°C
                                                                             VS = ±5V                                                                                                                                      A
                                                                                                                                                          350         SS = 1000
                                                                                                                                                                          MULTIPLIERS                                  VS = ±5V
                 4                                                                                                                                                                                                     VX = VY = 0V
                                                   XOS, Y = ±2.5V                                                                                         300
                 2
                                                                                                                                                          250
      VOS – mV
UNITS
0 200
                                                                                                                                                          150
             –2
                                            YOS, X = ±2.5V                                                                                                100
                 –4
                                                                                                                                                          50
                                                                                                                                                           0
                 –6
                   –75     –50      –25       0    25    50           75          100     125                                                                   –15    –12     –9         –6     –3   0    3      6            9        12   15
                                            TEMPERATURE – °C                                                                                                                        OUTPUT OFFSET VOLTAGE – mV
Figure 33. Offset Voltage vs. Temperature Figure 36. Output Offset Voltage (ZOS) Distribution
            400                                                                                                                                           10
                      SS = 1000 MULTIPLIERS
                                                                     TA = +25°C                                                                                                                                                V = ±5V
            350                                                                                                                                                                                                                    s
                                                                     VS = ±5V
                                                                                                                             OUTPUT OFFSET VOLTAGE – mV
300 5
            250
  UNITS
200 0
150
            100
                                                                                                                                                          –5
50
                 0
                                                                                                                                                          –10
                 0.395 0.3975 0.400        0.4025 0.405      0.4075 0.410       0.4125   0.415                                                              –75         –50     –25              0   25     50        75           100       125
                                           SCALE FACTOR – 1/V                                                                                                                                  TEMPERATURE – °C
Figure 34. Scale Factor Distribution Figure 37. Output Offset Voltage (ZOS) vs. Temperature
                                                                                                 –8–                                                                                                                                           REV.B
                                                                                                                                                                                                                                           MLT04
                                                       17                                                                                                                                 15
                                                                                                              VS = ±5V
                                                                                                              NO LOAD                                                                     12
                                                                                                                                                                                                                                           σX +3σ
                                                                                                              VX = VY = 0
15 0 X
–3
                                                                                                                                                                                          –6
                                                       14
                                                                                                                                                                                          –9
–12 σX –3σ
                                                       13                                                                                                                                 –15
                                                        –75     –50     –25     0       25    50         75       100       125                                                                 0   200      400      600     800        1000
                                                                               TEMPERATURE – °C                                                                                                           HOURS OF OPERATION AT +125°C
                                                       Figure 38. Supply Current vs. Temperature                                                 Figure 41. Output Voltage Offset (ZOS) Distribution
                                                                                                                                                 Accelerated by Burn-in
100 0.424
                                                                                                              TA = +25°C                                                         0.420
                                                                                                              VS = ±5V
                        POWER SUPPLY REJECTION – dB
                                                      80                                                                                                                         0.416
                                                                                                                                        SCALE FACTOR – 1/V                                                                                 σX +3σ
                                                                                                                                                                                 0.412
                                                                                              +PSRR
                                                      60                                                                                                                         0.408
                                                                                                                                                                                 0.404                                                      X
                                                                                –PSRR
                                                                                                                                                                                 0.400
                                                      40
                                                                                                                                                                                 0.396
                                                                                                                                                                                                                                           σX –3σ
                                                      20                                                                                                                         0.392
0.388
                                                        0                                                                                                                        0.384
                                                         100            1k           10k                 100k               1M                                                                  0   200       400     600      800       1000
                                                                                FREQUENCY – Hz                                                                                                            HOURS OF OPERATION AT +125°C
                       Figure 39. Power Supply Rejection vs. Frequency                                                                  Figure 42. Scale Factor (K) Distribution Acceler-
                                                                                                                                        ated by Burn-in
1.25
                                                      1.0
                                                                                                                  σX +3σ
                                             0.75
 LINEARITY ERROR – %
0.50
                                              0.25
                                                                                                                   X
                                                       0
–0.25
–0.50
                               –0.75
                                                                                                                  σX –3σ
                                              –1.0
                               –1.25
                                                            0     200         400       600        800          1000
                                                                        HOURS OF OPERATION AT +125°C
REV. B                                                                                                                            –9–
MLT04
APPLICATIONS                                                                                The equation shows a dc term at the output which will vary
The MLT04 is well suited for such applications as modulation/                               strongly with the amplitude of the input, V IN. The output dc offset
demodulation, automatic gain control, power measurement, analog                             can be eliminated by capacitively coupling the MLT04’s output
computation, voltage-controlled amplifiers, frequency doublers,                             with a high-pass filter. For optimal spectral performance, the
and geometry correction in CRT displays.                                                    filter’s cutoff frequency should be chosen to eliminate the input
                                                                                            fundamental frequency.
Multiplier Connections
Figure 43 llustrates the basic connections for multiplication. Each                         A source of error in this configuration is the offset voltages of the X
of the four independent multipliers has single-ended voltage inputs                         and Y inputs. The input offset voltages produce cross products
(X, Y) and a low impedance voltage output (W). Also, each                                   with the input signal to distort the output waveform. To circum-
multiplier has its own dedicated ground connection (GND) which                              vent this problem, Figure 45 illustrates the use of inverting
is connected to the circuit’s analog common. For best perfor-                               amplifiers configured with an OP285 to provide a means by which
mance, circuit layout should be compact with short component                                the X- and Y-input offsets can be trimmed.
leads and well-bypassed supply voltage feeds. In applications where
fewer than four multipliers are used, all unused analog inputs must                                                 ΩP1
                                                                                                                    50kΩ
be returned to the analog common.                                                                       –5V                        +5V
                                                                                                                           XOS TRIM
                                                                                                            ΩR5
                                                                                                          500kΩ                R2
                                                                                                                               10k
                 W1        1       W1              W4 18           W4                                         R1
                                                                                                              10k                              3    +   1/4 MLT04
                                                                                                                       2
                           2       GND1          GND4 17                                                                       A1     1
                                                                                                                                                                              C1
                                                                                                                           3   +                                             100pF
                 X1            3   X1              X4 16           X4                                                                                                   W1
                                                                                                VIN                                             2   0.4             1                    VO
                                                                                                                       A1, A2 = 1/2 OP285                                            ΩRL
                  Y1       4       Y1              Y4 15           Y4
                                         MLT04                                                                                                                                        10kΩ
                                                                                                                           5   +
  +5V                          5   VCC 17
                                       1
                                       10
                                       11
                                       12
                                       13
                                       14
                                       15
                                       16
                                       98
                                       8
                                       7
                                       6
                                       5
                                       4
                                       3
                                       2          VEE 14                           –5V                                         A2        7      4   +
                                                                                                              R3       6
        0.1µF    Y2            6 Y2                Y3 13           Y3      0.1µF                              10k
                 X2            7 X2                X3 12                                                                  R4
                                                                   X3                                       ΩR6           10k
                                                                                                          500kΩ
                                   GND2                                                                                YOS TRIM
                               8                 GND3     11
                                                                                                        –5V                        +5V
                 W2            9                   W3 10           W3                                               ΩP2
                                   W2                                                                               50kΩ
                           W1–4 = 0.4 (X1–4        • Y1–4)                                            Figure 45. Frequency Doubler with Input Offset Voltage
                                                                                                      Trims
                Figure 43. Basic Multiplier Connections
                                                                                            Feedback Divider Connections
Squaring and Frequency Doubling                                                             The most commonly used analog divider circuit is the “inverted
As shown in Figure 44, squaring of an input signal, V IN, is achieved                       multiplier” configuration. As illustrated in Figure 46, an “inverted
by connecting the X-and Y-inputs in parallel to produce an output                           multiplier” analog divider can be configured with a multiplier
of VIN2/2.5 V. The input may have either polarity, but the output                           operating in the feedback loop of an operational amplifier. The
will be positive.                                                                           general form of the transfer function for this circuit configuration is
                                          +5V
                                                                                            given by:
                                                  0.1µF
                                                                                                                                                  R2  VIN
                                                                                                                                   VO = −2.5 V ×     ×
                                                                                                                                                  R1  VX
     VIN
                      X    +                    1/4 MLT04
                                                                                            Here, the multiplier operates as a voltage-controlled potentiometer
                 GND                                           W                            that adjusts the loop gain of the op amp relative to a control signal,
                                   0.4                              W = 0.4 VIN2
                                                                                            VX. As the control signal to the multiplier decreases, the output of
                                                                                            the multiplier decreases as well. This has the effect of reducing
                       Y
                           +                                                                negative feedback which, in turn, decreases the amplifier’s loop
                                                                                            gain. The result is higher closed-loop gain and reduced circuit
                                                  0.1µF
                                                                                            bandwidth. As VX is increased, the output of the multiplier
                                                                                            increases which generates more negative feedback — closed-loop
                                          –5V
                                                                                            gain drops and circuit bandwidth increases. An example of an
                                                                                            “inverted multiplier” analog divider frequency response is shown in
                 Figure 44. Connections for Squaring
                                                                                            Figure 47.
When the input is a sine wave given by V IN sin ωt, the squaring
circuit behaves as a frequency doubler because of the trigonometric
identity:
                  (VIN sin ωt )2  V 2  1
                                 = IN   (1 − cos 2 ωt )
                      2.5V        2.5V  2 
                                                                                         –10–                                                                                   REV. B
                                                                                                                                                                                            MLT04
                                            1/4 MLT04                   X1                                                                         1/4 MLT04                            X1
                                                               +    3                                                                                                               3
                                                                               +
                                                                                    VX
                                                                                                                              D1
                                                                                                                            1N4148
                                   W1                                   GND1                                                              W1
                                        1                    0.4    2                                                                          1                          0.4       2
                              R2
                             10k                                                                                                R2
                                                                        Y1                                                      10k                                                     Y1
                                                               +    4                                                                                                              4
                             R1                                                                                  R1
                             10k                                                                                 10k
                 VIN                                2                                              V                                                     2
                                                                                                       IN
                                                        OP113 6                VO                                                                           OP113 6                                     V
                                                                                                                                                                                                        O
                                                    3   +                                                                                                3      +
                                                              VIN
                                             VO = –2.5V •                                                                                            VO =       –2.5V • VIN
                                                              VX
                              VX = 0.025V
                  40
                                                                                             without affecting any other parameters. The general form of the
                                                                                             circuit’s transfer function is given by:
                  30
                  20
                              VX = 0.25V
                                                                                                                                                                      
                                                                                                                                                                      
                                                                                                                      VO             R2              1              
                                                                                                                                 = −
                  10
                                                                                                                                                                     
                                                                                                                                     R1    R2 + R1   2.5RC 
                               VX = 2.5V
                                                                                                                      VIN                                              
                   0
                                                                                                                                                                   +
                                                                                                                                             R1   VX 
                                                                                                                                             s                      1
                                                                                                                                                                       
                       100         1k           10k     100k             1M         10M
                                                                                                                                                                      
                                               FREQUENCY – Hz
                                                                                             In this circuit, the ratio of R2 to R1 sets the passband gain, and the
                                                                                             break frequency of the filter, ωLP, is given by:
 Figure 47. Signal-Dependent Feedback Makes Variables
 Out of Amplifier Bandwidth and Stability                                                                                                    R1   VX 
                                                                                                                                      ωLP =                  
                                                                                                                                             R1 + R2   2.5RC 
Although this technique works well with almost any operational
amplifier, there is one caveat: for best circuit stability, the unity-
gain crossover frequency of the operational amplifier should be
equal to or less than the MLT04’s 8 MHz bandwidth.                                                               X1
                                                                                                                       3                 1/4 MLT04
                                                                                                                                 +
                                                                                                  +
Connection for Square Rooting                                                                               VX
                                                                                                                                                                                              C
                                                                                                                                                                           R
Another application of the “inverted multiplier” configuration is the                                       GND1                                                W1        10k
                                                                                                                                                                                             80pF
square-root function. As shown in Figure 48, both inputs of the                                                       2            0.4                      1
MLT04 are wired together and are used as the output of the
                                                                                                                                                                                    2
circuit. Because the circuit configuration exhibits the following                                                                                                                                   1       VO
                                                                                                                                                                                        A1
generalized transfer function:                                                                                                   +                                                  3   +
                                                                                                             R1             4                                       R2
                                                R2                                                         10k                 Y1                                 10k         A1 = 1/2 OP285
                                   VO = −2.5 ×      ×VIN
                                                R1 
                                                                                                 VIN
                                                                                                                                           VO                   1
                                                                                                                                                 =–
the input signal voltage is limited to the range –2.5 V ≤ VIN < 0. To                                                                      VIN
                                                                                                                                                      1+S
                                                                                                                                                                    5RC
                                                                                                                                                                     VX
prevent circuit latchup due to positive feedback or input signal
                                                                                                                                          VX
polarity reversal, a 1N4148-type junction diode is used in series                                                               fLP =              ; fLP = MAX @ VX = 2.5V
with the output of the multiplier.                                                                                                      π10πRC
                   Figure 48. Connections for Square Rooting                                       Figure 49. A Voltage-Controlled Low-Pass Filter
                                                                                             For example, if R1 = R2 = 10 kΩ , R = 10 kΩ , and C = 80 pF,
REV. B                                                                                    –11–
MLT04
then the output of the circuit has a pole at frequencies from 1 kHz                                            OUTLINE DIMENSIONS
to 100 kHz for VX ranging from 25 mV to 2.5 V. The performance                                            Dimensions shown in inches and (mm).
of this low-pass filter is illustrated in Figure 20.
                                                                                                          18-Lead Epoxy DIP (P Suffix)
30 18 10
                                                                                                                                                                                                 C1845–18–10/93
                                                                                                                                                    0.280 (7.11)
                                                                                       PIN 1                                                        0.240 (6.10)
                 20                                                                               1                                             9
                                                                                     0.210                                                              MIN
                                                                                     (5.33)
                 0                                                                    MAX
                                                                                                                                                            0.130
                                                                                0.160 (4.06)                                                                (3.30)
                                                                                0.115 (2.93)                                                                MIN
                                                                                                                                                                          15°
           – 10             V = 0.025V     0.25V    2.5V                                                                                                                          0.015 (0.38)
                             X                                                                                                                                             0°
                                                                                          0.022 (0.558)           0.100              0.070 (1.77)   SEATING                       0.008 (0.20)
                                                                                          0.014 (0.356)           (2.54)             0.045 (1.15)   PLANE
                                                                                                                   BSC
           – 20
           – 30
               10     100        1k        10k     100k    1M   10M
                                      FREQUENCY – Hz                                                  18-Lead Wide-Body SOL (S Suffix)
     Figure 50. Low-Pass Cutoff Frequency vs. Control
     Voltage, VX
                                                                                     18                                         10
With this approach, it is possible to construct parametric biquad
                                                                                                                                       0.2992 (7.60)
filters whose parameters (center frequency, passband gain, and Q)                                                                      0.2914 (7.40)
can be adjusted with dc control voltages.                                                                                                     0.4193 (10.65)
                                                                                                                                              0.3937 (10.00)
                                                                             PIN 1
                                                                                      1                                          9
                                                                                                                                                          8°               0.0500 (1.27)
                                                                             0.0118 (0.30)                             0.0192 (0.49)                      0°               0.0157 (0.40)
                                                                                               0.0500 (1.27)                            0.0125 (0.32)
                                                                             0.0040 (0.10)         BSC                 0.0138 (0.35)
                                                                                                                                        0.0091 (0.23)
PRINTED IN U.S.A.
–12– REV. B