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AD883B Datasheet(PDF) 6 Page - Analog Devices

Part # AD883B
Description  Real-Time Analog Computational Unit ACU
PDF  11 Pages
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Manufacturer  AD [Analog Devices]
Direct Link  http://www.analog.com
Logo AD - Analog Devices

AD883B Datasheet(HTML) 6 Page - Analog Devices

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AD538
–6–
REV. C
25k
25k
LOG
RATIO
100
25k
25k
ANTILOG
LOG
OUTPUT
100
AD538
INTERNAL
VOLTAGE
REFERENCE
I
VO
IZ
VZ
B
+10V
–VS
+VS
+2V
IY
A
D
IX
VX
C
PWR
GND
SIGNAL
GND
VY
118
17
16
15
14
13
12
11
10
2
3
4
5
6
7
8
9
Figure 9. Functional Block Diagram
FUNCTIONAL DESCRIPTION
As shown in Figures 9 and 10, the VZ and VX inputs connect
directly to the AD538’s input log ratio amplifiers. This subsec-
tion provides an output voltage proportional to the natural log
of input voltage VZ , minus the natural log of input voltage VX.
The output of the log ratio subsection at B can be expressed by
the transfer function:
V
B
=
kT
q
ln
V
Z
V
X


where k = 1.3806
× 10–23 J/K,
q = 1.60219
× 10–19 C,
T is in Kelvins.
The log ratio configuration may be used alone, if correctly tem-
perature compensated and scaled to the desired output level
(see Applications section).
Under normal operation, the log-ratio output will be directly
connected to a second functional block at input C, the antilog
subsection. This section performs the antilog according to the
transfer function:
V
O = VY e
VC
q
kT


As with the log-ratio circuit included in the AD538, the user
may use the antilog subsection by itself. When both subsections
are combined, the output at B is tied to C, the transfer function
of the AD538 computational unit is:
V
O = VY e
kT
q


q
kT


ln
VZ
VX


; V
B = VC
which reduces to:
VV
V
V
OY
Z
X
=


Finally, by increasing the gain, or attenuating the output of the
log ratio subsection via resistor programming, it is possible to
raise the quantity VZ/VX to the m
th power. Without external
programming, m is unity. Thus the overall AD538 transfer
function equals:
V
O = VY
V
Z
V
X


m
where 0.2 < m < 5.
When the AD538 is used as an analog divider, the VY input can
be used to multiply the ratio VZ /VX by a convenient scale factor.
The actual multiplication by the VY input signal is accomplished
by adding the log of the VY input signal to the signal at C, which
is already in the log domain.
INPUT FREQUENCY – Hz
150
100
10
1.0
0.1
1k
10k
100k
1M
100
VX = 10V
VY = 5V +5V SIN t VOLTS
VZ = 0V
Figure 7. VY Feedthrough vs. Frequency
DC OUTPUT VOLTAGE – Volts
100
0.01
10
1
0.10
0.01
0.1
1
10
FOR THE FREQUENCY RANGE OF 10Hz
TO 100kHz THE TOTAL RMS OUTPUT
NOISE, eo, FOR A GIVEN BANDWIDTH
Bw, IS CALCULATED eo = en Bw
VX = 10V
VX = 0.01V
Figure 8. 1 kHz Output Noise Spectral Density vs. DC Output
Voltage



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