AD539
Rev. B | Page 9 of 20
0
9679-016
V
OUT
V
IN
100
90
10
0%
20ns2V 500µV
Figure 16. Transient Response of the Voltage-Controlled Amplifier,
V
X
= +2 V, V
Y
= ±1 V
40
30
20
10
0
–10
–20
50
10k 100k 1M 10M
FREQUENCY (Hz)
GAIN (dB)
09679-017
V
X
= +0.01V
V
X
= +0.032V
V
X
= +0.1V
V
X
= +0.316V
V
X
= +1V
V
X
= +3.162V
Figure 17. High Frequency Response of Divider in Figure 25
AD539
Rev. B | Page 10 of 20
THEORY OF OPERATION
CIRCUIT DESCRIPTION
Figure 18 shows a simplified schematic of the AD539. Q1 to Q6
are large-geometry transistors designed for low distortion and
low noise. Emitter-area scaling further reduces distortion: Q1 is
three times larger than Q2; Q4 and Q5 are each three times
larger than Q3 and Q6 and are twice as large as Q1 and Q2. A
stable reference current of I
REF
= 1.375 mA is produced by a
band gap reference circuit and applied to the common emitter
node of a controlled cascode formed by Q1 and Q2. When V
X
=
0 V, all of I
REF
flows in Q1 due to the action of the high gain
control amplifier, which lowers the voltage on the base of Q2.
As V
X
is raised, the fraction of I
REF
flowing in Q2 is forced to
balance the control current, V
X
/2.5 kΩ. At the full-scale value of
V
X
(3 V) this fraction is 0.873. Because the base of Q1, Q4, and
Q5 are at ground potential and the bases of Q2, Q3, and Q6 are
commoned, all three controlled cascodes divide the current
applied to their emitter nodes in the same proportion. The
control loop is stabilized by the external capacitor, C
C
.
The signal voltages, V
Y1
and V
Y2
(generically referred to as V
Y
),
are first converted to currents by voltage-to-current converters
with a g
m
of 575 μmhos. Thus, the full-scale input of ±2 V
becomes a current of ±1.15 mA, which is superimposed on a
bias of 2.75 mA and applied to the common emitter node of
controlled cascode Q3/Q4 or Q5/Q6. As previously explained,
the proportion of this current steered to the output node is
linearly dependent on V
X
. Therefore, for full-scale V
X
and V
Y
inputs, a signal of ±1 mA (0.873 × ±1.15 mA) and a bias
component of 2.4 mA (0.873 × 2.75 mA) appear at the output.
The bias component absorbed by the 1.25 kΩ resistors also
connected to V
X
and the resulting signal current can be applied
to an external load resistor (in which case scaling is not
accurate) or can be forced into either or both of the 6 kΩ
feedback resistors (to the Z and W nodes) by an external op
amp. In the latter case, scaling accuracy is guaranteed.
GENERAL RECOMMENDATIONS
The AD539 is a high speed circuit and requires considerable
care to achieve its full performance potential. A high quality
ground plane should be used with the device either soldered
directly into the board or mounted in a low profile socket. In
Figure 18, an open triangle denotes a direct, short connection
to this ground plane; the BASE COMMON pins (Pin 12 and
Pin 13) are especially prone to unwanted signal pickup. Power
supply decoupling capacitors of 0.1 μF to 1 μF should be
connected from the +V
S
and −V
S
pins (Pin 4 and Pin 5) to the
ground plane. In applications using external high speed op
amps, use separate supply decoupling. It is good practice to
insert small (10 Ω) resistors between the primary supply and
the decoupling capacitor.
The control amplifier compensation capacitor, C
C
, should
likewise have short leads to ground and a minimum value of
3 nF. Unless maximum control bandwidth is essential, it is
advisable to use a larger value of 0.01 μF to 0.1 μF to improve
the signal channel phase response, high frequency crosstalk,
and high frequency distortion. The control bandwidth is
inversely proportional to this capacitance, typically 2 MHz for C
C
=
0.01 μF, V
X
= 1.7 V. The bandwidth and pulse response of the
control channel can be improved by using a feedforward
capacitor of 5% to 20% the value of C
C
between the V
X
and
HF COMP pins (Pin 1 and Pin 2). Optimum transient response
results when the rise/fall time of V
X
are commensurate with the
control channel response time.
V
X
should not exceed the specified range of 0 V to 3 V. The ac
gain is zero for V
X
< 0 V but there remains a feedforward path
(see Figure 18) causing control feedthrough. Recovery time
from negative values of V
X
can be improved by adding a small
signal Schottky diode with its cathode connected to HF COMP
(Pin 2) and its anode grounded. This constrains the voltage
swing on C
C
. Above V
X
= 3.2 V, the ac gain limits at its
maximum value, but any overdrive appears as control
feedthrough at the output.
10
15
9
16
14
12
7
13
4
5
1
2
3
6
8
11
BAND-GAP
REFERENCE
GENERATOR
I
REF
=
1.375mA
1.2mA FS
HF COMP
±1mA FS ±1mA FS
+V
S
BASE COMMON
V
X
0V TO +3V FS
V
Y1
±2V FS
V
Y2
±2V FS
CHAN2
OUTPUT
OUTPUT
COMMON
CHAN1
OUTPUT
CONTROL
AMPLIFIER
–V
S
C
C
(EXT)
3nF MIN
2.5k 1.25k
INPUT COMMON
1.25k
6k
6k
6k
6k
Q1 Q2 Q3 Q4 Q5 Q6
W2
Z2
W1
Z1
09679-018
Figure 18. Simplified Schematic of AD539 Multiplier (16-Lead SBDIP and PDIP Shown)
AD539
Rev. B | Page 11 of 20
The power supplies to the AD539 can be as low as ±4.5 V and as
high as ±16.5 V. The maximum allowable range of the signal
inputs, V
Y
, is approximately 0.5 V above +V
S
; the minimum
value is 2.5 V above −V
S
. To accommodate the peak specified
inputs of ±4.2 V the supplies should be nominally +5 V and
−7.5 V. Although there is no performance advantage in raising
supplies above these values, it may often be convenient to use
the same supplies as for the op amps. The AD539 can tolerate
the excess voltage with only a slight effect on dc accuracy but
dissipation at ±16.5 V can be as high as 535 mW, and some
form of heat sink is essential in the interests of reliability.
TRANSFER FUNCTION
In using any analog multiplier or divider, careful attention must
be paid to the matter of scaling, particularly in computational
applications. To be dimensionally consistent, a scaling voltage
must appear in the transfer function, which, for each channel
of the AD539 in the standard multiplier configuration (see
Figure 20), is
V
W
= −V
X
V
Y
/V
U
where the V
X
and V
Y
inputs, the V
W
output, and the scaling
voltage, V
U
, are expressed in a consistent unit, usually volts.
In this case, V
U
is fixed by the design to be 1 V and it is often
acceptable in the interest of simplification to use the less rigorous
expression
V
W
= −V
X
V
Y
where it is understood that all signals must be expressed in volts,
that is, they are rendered dimensionless by division by 1 V.
The accuracy specifications for V
U
allow the use of either of the
two feedback resistors supplied with each channel, because
these are very closely matched, or they can be used in parallel to
halve the gain (double the effective scaling voltage), when
V
W
= −V
X
V
Y
/2
When an external load resistor, R
L
, is used, the scaling is no
longer exact because the internal thin film resistors, although
trimmed to high ratiometric accuracy, have an absolute
tolerance of 20%. However, the nominal transfer function is
V
W
= −V
X
V
Y
/V
U
where the effective scaling voltage, V
U
’, c a n b e c a l c u l a t e d f o r
each channel using the formula
V
U
= V
U
(5R
L
+ 6.25)/R
L
where R
L
is expressed in kilohms. For example, when R
L
=
100 Ω, V
U
= 67.5 V. Table 5 provides more detailed data for the
case where both channels are used in parallel. The AD539 can
also be used with no external load (CHAN2 OUTPUT, Pin 11,
or CHAN1 OUTPUT, Pin 14, open circuit), when VU’ is
precisely 5 V.
DUAL SIGNAL CHANNELS
The signal voltage inputs, V
Y1
and V
Y2
, have nominal full-scale
(FS) values of ±2 V with a peak range to ±4.2 V (using a negative
supply of 7.5 V or greater). For video applications where
differential phase is critical, a reduced input range of ±1 V is
recommended, resulting in a phase variation of typically ±0.2°
at 3.579 MHz for full gain. The input impedance is typically
400 kΩ shunted by 3 pF. Signal channel distortion is typically
well under 0.1% at 10 kHz and can be reduced to 0.01% by using
the channels differentially.
COMMON CONTROL CHANNEL
The control channel accepts positive inputs, V
X
, from 0 V to 3 V
FS, ±3.3 V peak. The input resistance is 500 Ω. An external,
grounded capacitor determines the small-signal bandwidth and
recovery time of the control amplifier; the minimum value of
3 nF allows a bandwidth at midgain of about 5 MHz. Larger
compensation capacitors slow the control channel but improve
the high frequency performance of the signal channels.
FLEXIBLE SCALING
Using either one or two external op amps in conjunction with
the on-chip 6 kΩ scaling resistors (see Figure 19), the output
currents (nominally ±1 mA FS, ±2.25 mA peak) can be
converted to voltages with accurate transfer functions of V
W
=
−V
X
V
Y
/2, V
W
= −V
X
V
Y
, or V
W
= −2V
X
V
Y
(where the V
X
and V
Y
inputs and V
W
output are expressed in volts), with correspond-
i n g f u l l - s c a l e o u t p u t s o f ± 3 V, ± 6 V, a n d ± 1 2 V. A l t e r n at i v e l y,
low impedance grounded loads can be used to achieve the full
signal bandwidth of 60 MHz, in which mode the scaling is less
accurate.
V
X
V
Y1
W1
V
W1
= –V
X
V
Y1
V
W2
= –V
X
V
Y2
Z1
EXTRNAL
OP AMPS
V
Y2
Z2
W2
09679-019
CHAN1
MULTIPLY
CHAN2
MULTIPLY
Figure 19. Block Diagram Showing Scaling Resistors and External Op Amps

AD539SD/883B

Mfr. #:
Manufacturer:
Analog Devices Inc.
Description:
Special Purpose Amplifiers ANALOG MULTIPLIER IC
Lifecycle:
New from this manufacturer.
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