250 MHZ, Voltage Output, 4-Quadrant Multiplier: Data Sheet
250 MHZ, Voltage Output, 4-Quadrant Multiplier: Data Sheet
4-Quadrant Multiplier
Data Sheet                                                                                                                              AD835
FEATURES                                                                                                                    FUNCTIONAL BLOCK DIAGRAM
Simple: basic function is W = XY + Z                                                                                   X1         X = X1 – X2         AD835
Complete: minimal external components required                                                                         X2
Very fast: Settles to 0.1% of full scale (FS) in 20 ns                                                                                  XY        XY + Z
                                                                                                                                                            X1   W OUTPUT
DC-coupled voltage output simplifies use                                                                                                 +
                                                                                                                                             +
                                                                                                                       Y1
High differential input impedance X, Y, and Z inputs
Low multiplier noise: 50 nV/√Hz                                                                                        Y2         Y = Y1 – Y2
                                                                                                                                                                            00883-001
                                                                                                                                         Z INPUT
APPLICATIONS                                                                                                                                    Figure 1.
Very fast multiplication, division, squaring
Wideband modulation and demodulation
Phase detection and measurement
Sinusoidal frequency doubling
Video gain control and keying
Voltage-controlled amplifiers and filters
TABLE OF CONTENTS
Features .............................................................................................. 1          Typical Performance Characteristics ..............................................7
Applications ....................................................................................... 1             Theory of Operation ...................................................................... 10
General Description ......................................................................... 1                       Basic Theory ............................................................................... 10
Functional Block Diagram .............................................................. 1                             Scaling Adjustment .................................................................... 10
Product Highlights ........................................................................... 1                   Applications Information .............................................................. 11
Revision History ............................................................................... 2                    Multiplier Connections ............................................................. 11
Specifications..................................................................................... 3                 Wideband Voltage-Controlled Amplifier ............................... 11
Absolute Maximum Ratings ............................................................ 5                               Amplitude Modulator ................................................................ 11
   Thermal Resistance ...................................................................... 5                        Squaring and Frequency Doubling .......................................... 12
   ESD Caution .................................................................................. 5                Outline Dimensions ....................................................................... 13
Pin Configuration and Function Descriptions ............................. 6                                           Ordering Guide .......................................................................... 14
REVISION HISTORY
12/14—Rev. D to Rev. E
Changes to Figure 1 .......................................................................... 1
Changes to Figure 20 ...................................................................... 10
Changes to Wideband Voltage-Controlled Amplifier Section
and Figure 21 ................................................................................... 11
Changes to Ordering Guide .......................................................... 14
12/10—Rev. C to Rev. D
Changes to Figure 1 .......................................................................... 1
Changes to Absolute Maximum Ratings and Table 2 .................. 5
Added Figure 19, Renumbered Subsequent Tables .................... 10
Added Figure 23.............................................................................. 11
10/09—Rev. B to Rev. C
Updated Format .................................................................. Universal
Changes to Figure 22 ...................................................................... 11
Updated Outline Dimensions ....................................................... 13
Changes to Ordering Guide .......................................................... 14
6/03—Rev. A to Rev. B
Updated Format .................................................................. Universal
Updated Outline Dimensions ....................................................... 10
                                                                                                   Rev. E | Page 2 of 14
Data Sheet                                                                                                                             AD835
SPECIFICATIONS
TA = 25°C, VS = ±5 V, RL = 150 Ω, CL ≤ 5 pF, unless otherwise noted.
Table 1.
Parameter                                        Conditions                                   Min            Typ          Max          Unit
TRANSFER FUNCTION                                                                                      ( X1 − X 2 )(Y 1 − Y 2 )
                                                                                              W=                                  +Z
                                                                                                                  U
INPUT CHARACTERISTICS (X, Y)
  Differential Voltage Range                     VCM = 0 V                                                   ±1                        V
  Differential Clipping Level                                                                 ±1.2 1         ±1.4                      V
  Low Frequency Nonlinearity                     X = ±1 V, Y = 1 V                                           0.3          0.51         % FS
                                                 Y = ±1 V, X = 1 V                                           0.1          0.31         % FS
     vs. Temperature                             TMIN to TMAX 2
                                                 X = ±1 V, Y = 1 V                                                        0.7          % FS
                                                 Y = ±1 V, X = 1 V                                                        0.5          % FS
  Common-Mode Voltage Range                                                                   −2.5                        +3           V
  Offset Voltage                                                                                             ±3           ±201         mV
     vs. Temperature                             TMIN to TMAX2                                                            ±25          mV
  CMRR                                           f ≤ 100 kHz; ±1 V p-p                        701                                      dB
  Bias Current                                                                                               10           201          µA
     vs. Temperature                             TMIN to T
                                                         MAX
                                                            2
                                                                                                                          27           µA
  Offset Bias Current                                                                                        2                         µA
  Differential Resistance                                                                                    100                       kΩ
  Single-Sided Capacitance                                                                                   2                         pF
  Feedthrough, X                                 X = ±1 V, Y = 0 V                                                        −461         dB
  Feedthrough, Y                                 Y = ±1 V, X = 0 V                                                        −601         dB
DYNAMIC CHARACTERISTICS
  −3 dB Small Signal Bandwidth                                                                150            250                       MHz
  −0.1 dB Gain Flatness Frequency                                                                            15                        MHz
  Slew Rate                                      W = −2.5 V to +2.5 V                                        1000                      V/µs
  Differential Gain Error, X                     f = 3.58 MHz                                                0.3                       %
  Differential Phase Error, X                    f = 3.58 MHz                                                0.2                       Degrees
  Differential Gain Error, Y                     f = 3.58 MHz                                                0.1                       %
  Differential Phase Error, Y                    f = 3.58 MHz                                                0.1                       Degrees
  Harmonic Distortion                            X or Y = 10 dBm, second and third harmonic
                                                 Fund = 10 MHz                                               −70                       dB
                                                 Fund = 50 MHz                                               −40                       dB
  Settling Time, X or Y                          To 0.1%, W = 2 V p-p                                        20                        ns
SUMMING INPUT (Z)
  Gain                                           From Z to W, f ≤ 10 MHz                      0.990          0.995
  −3 dB Small Signal Bandwidth                                                                               250                       MHz
  Differential Input Resistance                                                                              60                        kΩ
  Single-Sided Capacitance                                                                                   2                         pF
  Maximum Gain                                   X, Y to W, Z shorted to W, f = 1 kHz                        50                        dB
  Bias Current                                                                                               50                        µA
                                                             Rev. E | Page 3 of 14
AD835                                                                                                                                         Data Sheet
Parameter                                                    Conditions                                                Min           Typ     Max     Unit
OUTPUT CHARACTERISTICS
  Voltage Swing                                                                                                        ±2.2          ±2.5            V
     vs. Temperature                                         TMIN to TMAX2                                             ±2.0                          V
  Voltage Noise Spectral Density                             X = Y = 0 V, f < 10 MHz                                                 50              nV/√Hz
  Offset Voltage                                                                                                                     ±25     ±751    mV
     vs. Temperature 3                                       TMIN to T MAX
                                                                          2
                                                                                                                                             ±10     mV
  Short-Circuit Current                                                                                                              75              mA
  Scale Factor Error                                                                                                                 ±5      ±81     % FS
     vs. Temperature                                         TMIN to T MAX
                                                                          2
                                                                                                                                             ±9      % FS
  Linearity (Relative Error) 4                                                                                                       ±0.5    ±1.01   % FS
     vs. Temperature                                         TMIN to TMAX2                                                                   ±1.25   % FS
POWER SUPPLIES
  Supply Voltage
     For Specified Performance                                                                                         ±4.5          ±5      ±5.5    V
  Quiescent Supply Current                                                                                                           16      251     mA
     vs. Temperature                                         TMIN to TMAX2                                                                   26      mA
  PSRR at Output vs. VP                                      +4.5 V to +5.5 V                                                                0.51    %/V
  PSRR at Output vs. VN                                      −4.5 V to −5.5 V                                                                0.5     %/V
1
  All minimum and maximum specifications are guaranteed. These specifications are tested on all production units at final electrical test.
2
  TMIN = −40°C, TMAX = 85°C.
3
  Normalized to zero at 25°C.
4
  Linearity is defined as residual error after compensating for input offset, output voltage offset, and scale factor errors.
                                                                           Rev. E | Page 4 of 14
Data Sheet                                                                                                      AD835
                                                               Rev. E | Page 5 of 14
AD835                                                                                                                               Data Sheet
                                                                                        00883-002
                                                 Z     4                      5    W
                                                           Rev. E | Page 6 of 14
Data Sheet                                                                                                                                                                                                                      AD835
                                     0.2
                     GAIN (%)
                                                                               MIN = 0                                                                                 0
                                      0
                                                                                                                                                    MAGNITUDE (dB)
                                                                               MAX = 0.2
                                                                               p-p/MAX = 0.2                                                                         –0.1
                                    –0.2
                                                                                                                                                                     –0.2
                                    –0.4
                                           1ST       2ND       3RD      4TH        5TH          6TH
                                                                                                                                                                     –0.3
                                            0        0.02      0.02     0.03       0.03         0.06
                                     0.3                                                                                                                             –0.4
                  PHASE (Degrees)
                                     0.2
                   DIFFERENTIAL
                                                                                                                                                                     –0.5
                                     0.1
                                                                                                                                                                                                                                             00883-006
                                      0                                                                                                                              –0.6
                                    –0.1                                       MIN = 0
                                                                                                               00883-003
                                                                               MAX = 0.06
                                    –0.2                                                                                                                               300k       1M                 10M            100M             1G
                                                                               p-p = 0.06
                                    –0.3
                                           1ST       2ND       3RD      4TH        5TH          6TH                                                                                              FREQUENCY (Hz)
                         Figure 3. Typical Composite Output Differential Gain and Phase,                                                                                               Figure 6. Gain Flatness to 0.1 dB
                                    NTSC for X Channel; f = 3.58 MHz, RL = 150 Ω
                                                                               MAX = 0.01
                     GAIN (%)
                                                                                                                                                                     –60
                                    0.10
                                                                                                                                                                                Y FEEDTHROUGH
                                                                                                                                                                                                                                             00883-007
                                       0                                       MIN = 0
                                                                               MAX = 0.16
                                                                                                               00883-004
                         Figure 4. Typical Composite Output Differential Gain and Phase,                                                                                       Figure 7. X and Y Feedthrough vs. Frequency
                                    NTSC for Y Channel; f = 3.58 MHz, RL = 150 Ω
                                           X, Y, Z CH = 0dBm
                                           RL = 150Ω
                                           CL ≤ 5pF
                           2                                                                       180                                                   +0.2V
 MAGNITUDE (dB)
PHASE (Degrees)
                                             GAIN
                           0                                                                       90
                       –2                                                                          0                                                           GND
                                           PHASE
                       –4                                                                          –90
–6 –180 –0.2V
                       –8
                                                                                                                                                                                                                                     00883-008
                                                                                                   00883-005
                              1M                     10M             100M                        1G
                                                        FREQUENCY (Hz)
                                      Figure 5. Gain and Phase vs. Frequency of X, Y, Z Inputs                                                 Figure 8. Small Signal Pulse Response at W Output, RL = 150 Ω, CL ≤ 5 pF,
                                                                                                                                                                X Channel = ±0.2 V, Y Channel = ±1.0 V
                                                                                                                            Rev. E | Page 7 of 14
AD835                                                                                                                                                                                Data Sheet
10MHz
+1V
GND 10dB/DIV
          –1V
                                                                                                                                                                                     30MHz
                                                                                                                                                                         20MHz
                                                                                                                                                                                                    00883-012
                                                                                          00883-009
                           500mV                             10ns
 Figure 9. Large Signal Pulse Response at W Output, RL = 150 Ω, CL ≤ 5 pF,                                                     Figure 12. Harmonic Distortion at 10 MHz; 10 dBm Input to X or Y Channels,
                  X Channel = ±1.0 V, Y Channel = ±1.0 V                                                                                                 RL = 150 Ω, CL = ≤ 5 pF
50MHz
                                                                           20
                                                                                       CMRR (dB)
                                                                           40                                                         10dB/DIV
                                                                                                                                                                        100MHz       150MHz
                                                                           60
                                                                           80
                                                                           00883-010
                                                                                                                                                                                                    00883-013
      1M                           10M             100M               1G
                                      FREQUENCY (Hz)
 Figure 10. CMRR vs. Frequency for X or Y Channel, RL = 150 Ω, CL ≤ 5 pF                                                        Figure 13. Harmonic Distortion at 50 MHz, 10 dBm Input to X or Y Channel,
                                                                                                                                                          RL = 150 Ω, CL ≤ 5 pF
                         0dBm ON SUPPLY
                         X, Y = 1V
                                                                                                                                                           100MHz
                                            PSSR ON V+
                –10
                –20
    PSSR (dB)
                –30
                                                                                                                                                                        200MHz
                                                                                                                                                                                      300MHz
                –40                                                                                                                   10dB/DIV
                –50                     PSSR ON V–
                –60
                                                                                                  00883-011
00883-014
                      Figure 11. PSRR vs. Frequency for V+ and V– Supply                                                       Figure 14. Harmonic Distortion at 100 MHz, 10 dBm Input to X or Y Channel,
                                                                                                                                                          RL = 150 Ω, CL ≤ 5 pF
                                                                                                              Rev. E | Page 8 of 14
Data Sheet                                                                                                                                                                                                                       AD835
                                                                                                                                                                    35
                                                                                                                                                                                                                  X CH = 6dBm
                                                                                                                                                                    30                                            Y CH = 10dBm
                                                                                                                                                                                                                  RL = 100Ω
                                                                                                                                                                    20
 10dB/DIV
15
–2.5V 10
00883-015
                                                                                                                                                                                                                                      00883-017
                                        1V                             10ns
                                                                                                                                                                     0
                                                                                                                                                                         0      20     40   60   80   100   120   140   160   180   200
                                                                                                                                                                                     RF FREQUENCY INPUT TO X CHANNEL (MHz)
Figure 15. Maximum Output Voltage Swing, RL = 50 Ω, CL ≤ 5 pF Figure 17. Fixed LO on Y Channel vs. RF Frequency Input to X Channel
                           15                                                                                                                                       35
                                          OUTPUT OFFSET DRIFT WILL
                                      TYPICALLY BE WITHIN SHADED AREA                                                                                                                                             X CH = 6dBm
                                                                                                                                                                    30                                            Y CH = 10dBm
                           10                                                                                                                                                                                     RL = 100Ω
                                                                                                                                                                    25
                            5
                                                                                                                                                                    20
                            0
                                                                                                                                                                    15
                           –5
                                                                                                                                                                    10
                   –10
                                                                                                                                                                     5
                                                                                      00883-016
                                                                                                                                                                                                                                      00883-018
                                 OUTPUT VOS DRIFT, NORMALIZED TO 0 AT 25°C
                     –15                                                                                                                                             0
                       –55      –35   –15    5     25    45    65    85       105   125                                                                                  0      20     40   60   80   100   120   140   160   180   200
                                              TEMPERATURE (°C)                                                                                                                         LO FREQUENCY ON Y CHANNEL (MHz)
Figure 16. VOS Output Drift vs. Temperature Figure 18. Fixed IF vs. LO Frequency on Y Channel
                                                                                                              Rev. E | Page 9 of 14
AD835                                                                                                                                                    Data Sheet
THEORY OF OPERATION
The AD835 is a four-quadrant, voltage output analog multiplier,                             avoid the needless use of less intuitive subscripted variables
fabricated on an advanced dielectrically isolated complementary                             (such as, VX1). All variables as being normalized to 1 V.
bipolar process. In its basic mode, it provides the linear product                          For example, the input X can either be stated as being in the −1 V
of its X and Y voltage inputs. In this mode, the −3 dB output                               to +1 V range or simply –1 to +1. The latter representation is found
voltage bandwidth is 250 MHz (with small signal rise time of 1 ns).                         to facilitate the development of new functions using the AD835.
Full-scale (−1 V to +1 V) rise to fall times are 2.5 ns (with a                             The explicit inclusion of the denominator, U, is also less helpful, as
standard RL of 150 Ω), and the settling time to 0.1% under the                              in the case of the AD835, if it is not an electrical input variable.
same conditions is typically 20 ns.
                                                                                            SCALING ADJUSTMENT
As in earlier multipliers from Analog Devices a unique
summing feature is provided at the Z input. As well as providing                            The basic value of U in Equation 1 is nominally 1.05 V. Figure 20,
independent ground references for the input and the output and                              which shows the basic multiplier connections, also shows how
enhanced versatility, this feature allows the AD835 to operate                              the effective value of U can be adjusted to have any lower
with voltage gain. Its X-, Y-, and Z-input voltages are all                                 voltage (usually 1 V) through the use of a resistive divider
nominally ±1 V FS, with an overrange of at least 20%. The                                   between W (Pin 5) and Z (Pin 4). Using the general resistor
inputs are fully differential at high impedance (100 kΩ||2 pF)                              values shown, Equation 1can be rewritten as
and provide a 70 dB CMRR (f ≤ 1 MHz).                                                                    XY
                                                                                                    W=      + kW + (1 − k )Z '                                                       (3)
The low impedance output is capable of driving loads as small                                            U
as 25 Ω. The peak output can be as large as ±2.2 V minimum                                  where Z' is distinguished from the signal Z at Pin 4. It follows that
for RL = 150 Ω, or ±2.0 V minimum into RL = 50 Ω. The AD835
                                                                                                           XY
has much lower noise than the AD534 or AD734, making it                                             W=               + Z'                                                            (4)
attractive in low level, signal processing applications, for
                                                                                                         (1 − k )U
example, as a wideband gain control element or modulator.                                   In this way, the effective value of U can be modified to
BASIC THEORY                                                                                        U’ = (1 − k)U                                                                    (5)
The multiplier is based on a classic form, having a translinear core,                       without altering the scaling of the Z' input, which is expected because
supported by three (X, Y, and Z) linearized voltage-to-current                              the only ground reference for the output is through the Z' input.
converters, and the load driving output amplifier. The scaling                              Therefore, to set U' to 1 V, remembering that the basic value of
voltage (the denominator U in the equations) is provided by a                               U is 1.05 V, R1 must have a nominal value of 20 × R2. The values
band gap reference of novel design, optimized for ultralow noise.                           shown allow U to be adjusted through the nominal range of
Figure 19 shows the functional block diagram.                                               0.95 V to 1.05 V. That is, R2 provides a 5% gain adjustment.
In general terms, the AD835 provides the function                                           In many applications, the exact gain of the multiplier may not
           ( X1 − X 2 )(Y 1 − Y 2 )                                                         be very important; in which case, this network may be omitted
     W=                               +Z                                    (1)
                     U                                                                      entirely, or R2 fixed at 100 Ω.
                                                                                                                     FB          4.7µF TANTALUM
where the variables W, U, X, Y, and Z are all voltages. Connected as                                     +5V
                                                                                                                                       +
Z INPUT
                                                                           Rev. E | Page 10 of 14
Data Sheet                                                                                                                                                           AD835
APPLICATIONS INFORMATION
The AD835 is easy to use and versatile. The capability for adding                      The ac response of this amplifier for gains of 0 dB (VG = 0.25 V),
another signal to the output at the Z input is frequently valuable.                    6 dB (VG = 0.5 V), and 12 dB (VG = 1 V) is shown in Figure 22.
Three applications of this feature are presented here: a wideband                      In this application, the resistor values have been slightly adjusted to
voltage-controlled amplifier, an amplitude modulator, and a                            reflect the nominal value of U = 1.05 V. The overall sign of the
frequency doubler. Of course, the AD835 may also be used as a                          gain may be controlled by the sign of VG.
square law detector (with its X inputs and Y inputs connected in                                       21
                                                                                           GAIN (dB)
                                                                                                                             6dB
Figure 20 shows the basic connections for multiplication. The                                           6
                                                                                                                          (VG = 0.5V)
inputs are often single sided, in which case the X2 and Y2 inputs                                       3                     0dB
are normally grounded. Note that by assigning Pin 7 (X2) and                                                              (VG = 0.25V)
                                                                                                        0
Pin 2 (Y2), respectively, to these (inverting) inputs, an extra
measure of isolation between inputs and output is provided.                                            –3
                                                                                                                                                                                       00883-022
                                                                                                       –9
                                                                                                         10k            100k             1M              10M         100M
driven fully differentially.                                                                                                        FREQUENCY (Hz)
Power supply decoupling and careful board layout are always                                                             Figure 22. AC Response of VCA
important in applying wideband circuits. The decoupling                                AMPLITUDE MODULATOR
recommendations shown in Figure 20 should be followed
closely. In Figure 21, Figure 23, and Figure 24, these power                           Figure 23 shows a simple modulator. The carrier is applied to the
supply decoupling components are omitted for clarity but should                        Y input and the Z input, while the modulating signal is applied to
be used wherever optimal performance with high speed inputs                            the X input. For zero modulation, there is no product term so the
is required. However, if the full, high frequency capabilities of the                  carrier input is simply replicated at unity gain by the voltage
AD835 are not being exploited, these components can be omitted.                        follower action from the Z input. At X = 1 V, the RF output is
                                                                                       doubled, while for X = –1 V, it is fully suppressed. That is, an
WIDEBAND VOLTAGE-CONTROLLED AMPLIFIER                                                  X input of approximately ±1 V (actually ±U or about 1.05 V)
Figure 21 shows the AD835 configured to provide a gain of                              corresponds to a modulation index of 100%. Carrier and
nominally 0 dB to 12 dB. (In fact, the control range extends from                      modulation frequencies can be up to 300 MHz, somewhat
well under –12 dB to about +14 dB.) R1 and R2 set the gain to                          beyond the nominal −3 dB bandwidth.
be nominally ×4. The attendant bandwidth reduction that comes                          Of course, a suppressed carrier modulator can be implemented
with this increased gain is partially offset by the addition of the                    by omitting the feedforward to the Z input, grounding that
peaking capacitor C1. Although this circuit shows the use of                           pin instead.
dual supplies, the AD835 can operate from a single 9 V supply
                                                                                                                                             +5V
(such as a 9 V battery) with a slight revision. For G = 0 dB, omit
R1 and R2, and connect Pin Z directly to ground. Pin Z must be                                    MODULATION
                                                                                                     SOURCE                    8        7     6      5         MODULATED
connected to a reference; otherwise, the output W floats to a rail.                                                            X1      X2    VP      W         CARRIER
                                                                                                                                                               OUTPUT
                            +5V                                                                                                         AD835
                                                                                                                               Y1      Y2    VN      Z
       VG                                                       VOLTAGE                                                        1        2     3      4
(GAIN CONTROL)                                                  OUTPUT
                 8     7     6      5
                 X1   X2     VP     W         R1
                                                                                                                                             –5V
                                              97.6Ω
                      AD835
                                                         C1                                                 CARRIER
                                                                                                                                                                           00883-026
                 Y1   Y2     VN     Z                    33pF                                               SOURCE
                 1     2     3      4
       VIN
                                                                                                            Figure 23. Simple Amplitude Modulator Using the AD835
                                                                         00883-021
    (SIGNAL)                                  R2
                                              301Ω
                            –5V
                                                                      Rev. E | Page 11 of 14
AD835                                                                                                                                   Data Sheet
SQUARING AND FREQUENCY DOUBLING                                                            VG
                                                                                                                      +5V
                                                                                                      C1
Amplitude domain squaring of an input signal, E, is achieved                                                                                    VOLTAGE
                                                                                                                                                OUTPUT
simply by connecting the X and Y inputs in parallel to produce                                             8     7     6      5
                                                                                                           X1   X2     VP    W
an output of E2/U. The input can have either polarity, but the                                                   AD835                R2
                                                                                                                                      97.6Ω
output in this case is always positive. The output polarity can be                                         Y1   Y2     VN     Z
reversed by interchanging either the X or Y inputs.                                                        1     2     3      4
When the input is a sine wave E sin ωt, a signal squarer behaves
as a frequency doubler because                                                                                                        R3
                                                                                                                                              00883-024
                                                                                                      R1
                                                                                                                      –5V             301Ω
      ( E sin ωt )2       E2
                      =      (1 − cos 2ωt )                       (6)                           Figure 24. Broadband Zero-Bounce Frequency Doubler
           U              2U
                                                                                  This circuit is based on the identity
While useful, Equation 6 shows a dc term at the output, which
varies strongly with the amplitude of the input, E.                                                    1
                                                                                          cos θ sin θ = sin 2θ                                            (7)
                                                                                                       2
Figure 24 shows a frequency doubler that overcomes this
limitation and provides a relatively constant output over a                       At ωO = 1/C1R1, the X input leads the input signal by 45° (and is
moderately wide frequency range, determined by the time                           attenuated by √2, while the Y input lags the input signal by 45°
constant R1C1. The voltage applied to the X and Y inputs is                       and is also attenuated by √2. Because the X and Y inputs are 90°
exactly in quadrature at a frequency f = ½πC1R1, and their                        out of phase, the response of the circuit is
amplitudes are equal. At higher frequencies, the X input becomes                          1 E               E                E2
smaller while the Y input increases in amplitude; the opposite                    W=          (sin ωt − 45°) (sin ωt + 45°) = (sin 2ωt )                  (8)
                                                                                          U 2                2               2U
happens at lower frequencies. The result is a double frequency
output centered on ground whose amplitude of 1 V for a 1 V                        which has no dc component, R2 and R3 are included to restore
input varies by only 0.5% over a frequency range of ±10%.                         the output to 1 V for an input amplitude of 1 V (the same gain
Because there is no squared dc component at the output, sudden                    adjustment as previously mentioned). Because the voltage across
changes in the input amplitude do not cause a bounce in the dc level.             the capacitor (C1) decreases with frequency, while that across
                                                                                  the resistor (R1) increases, the amplitude of the output varies
                                                                                  only slightly with frequency. In fact, it is only 0.5% below its full
                                                                                  value (at its center frequency ωO = 1/C1R1) at 90% and 110% of
                                                                                  this frequency.
                                                                 Rev. E | Page 12 of 14
Data Sheet                                                                                                                                        AD835
OUTLINE DIMENSIONS
                                    0.400 (10.16)
                                     0.365 (9.27)
                                     0.355 (9.02)
                                    8             5     0.280 (7.11)
                                                        0.250 (6.35)
                                    1                   0.240 (6.10)
                                                  4
                                                                                            0.325 (8.26)
                                                                                            0.310 (7.87)
                                    0.100 (2.54)                                            0.300 (7.62)
                                       BSC                                 0.060 (1.52)                         0.195 (4.95)
                 0.210 (5.33)                                                     MAX                           0.130 (3.30)
                        MAX                                                                                     0.115 (2.92)
                                                            0.015
               0.150 (3.81)                                 (0.38)        0.015 (0.38)
               0.130 (3.30)                                 MIN               GAUGE
               0.115 (2.92)                                                   PLANE                           0.014 (0.36)
                                                             SEATING
                                                             PLANE                                            0.010 (0.25)
                    0.022 (0.56)                                                                              0.008 (0.20)
                                                        0.005 (0.13)                        0.430 (10.92)
                    0.018 (0.46)                        MIN                                     MAX
                    0.014 (0.36)
                                   0.070 (1.78)
                                   0.060 (1.52)
                                   0.045 (1.14)
                                                                                                                                       070606-A
                              (IN PARENTHESES) ARE ROUNDED-OFF INCH EQUIVALENTS FOR
                              REFERENCE ONLY AND ARE NOT APPROPRIATE FOR USE IN DESIGN.
                              CORNER LEADS MAY BE CONFIGURED AS WHOLE OR HALF LEADS.
                                                  5.00 (0.1968)
                                                  4.80 (0.1890)
                                                   8        5
                                4.00 (0.1574)                      6.20 (0.2441)
                                3.80 (0.1497)      1               5.80 (0.2284)
                                                            4
                                                                Rev. E | Page 13 of 14
AD835                                                                                                                     Data Sheet
ORDERING GUIDE
Model 1                         Temperature Range                     Package Description                              Package Option
AD835ANZ                        −40°C to +85°C                        8-Lead Plastic Dual In-Line Package [PDIP]       N-8
AD835AR                         −40°C to +85°C                        8-Lead Standard Small Outline Package [SOIC_N]   R-8
AD835AR-REEL7                   −40°C to +85°C                        8-Lead Standard Small Outline Package [SOIC_N]   R-8
AD835ARZ                        −40°C to +85°C                        8-Lead Standard Small Outline Package [SOIC_N]   R-8
AD835ARZ-REEL                   −40°C to +85°C                        8-Lead Standard Small Outline Package [SOIC_N]   R-8
AD835ARZ-REEL7                  −40°C to +85°C                        8-Lead Standard Small Outline Package [SOIC_N]   R-8
1
    Z = RoHS Compliant Part.
Rev. E | Page 14 of 14