Low Cost, DC to 500 MHz, 92 dB
Logarithmic Amplifier
AD8307
Rev. D
Information furnished by Analog Devices is believed to be accurate and reliable. However, no
responsibility is assumed by Analog Devices for its use, nor for any infringements of patents or other
rights of third parties that may result from its use. Specifications subject to change without notice. No
license is granted by implication or otherwise under any patent or patent rights of Analog Devices.
Trademarks and registered trademarks are the property of their respective owners.
One Technology Way, P.O. Box 9106, Norwood, MA 02062-9106, U.S.A.
Tel: 781.329.4700 www.analog.com
Fax: 781.461.3113 ©1997–2008 Analog Devices, Inc. All rights reserved.
FEATURES
Complete multistage logarithmic amplifier
92 dB dynamic range: –75 dBm to +17 dBm
to –90 dBm using matching network
Single supply of 2.7 V minimum at 7.5 mA typical
DC to 500 MHz operation, ±1 dB linearity
Slope of 25 mV/dB, intercept of −84 dBm
Highly stable scaling over temperature
Fully differential dc-coupled signal path
100 ns power-up time, 150 μA sleep current
APPLICATIONS
Conversion of signal level to decibel form
Transmitter antenna power measurement
Receiver signal strength indication (RSSI)
Low cost radar and sonar signal processing
Network and spectrum analyzers (to 120 dB)
Signal level determination down to 20 Hz
True decibel ac mode for multimeters
FUNCTIONAL BLOCK DIAGRAM
BAND GAP REFERENCE
AND BIASING
SIX 14.3dB 900MHz
AMPLIFIER STAGES
MIRROR
INPUT-OFFSET
COMPENSATION LOOP
COM
INM
INP
ENBVPS
INT
OUT
OFS
AD8307
7.5mA
1.1kΩ
3
2
2µA
/dB
12.5kΩ
COM
NINE DETECTOR CELLS
SPACED 14.3dB
–INP
+INP
8
1
2
7
5
6
4
3
01
08
2-
00
1
Figure 1.
GENERAL DESCRIPTION
The AD8307 is the first logarithmic amplifier made available in
an 8-lead (SOIC_N) package. It is a complete 500 MHz monolithic
demodulating logarithmic amplifier based on the progressive
compression (successive detection) technique, providing a
dynamic range of 92 dB to ±3 dB law-conformance and 88 dB
to a tight ±1 dB error bound at all frequencies up to 100 MHz.
It is extremely stable and easy to use, requiring no significant
external components. A single-supply voltage of 2.7 V to 5.5 V
at 7.5 mA is needed, corresponding to an unprecedented power
consumption of only 22.5 mW at 3 V. A fast acting CMOS-
compatible control pin can disable the AD8307 to a standby
current of less than 150 μA.
Each of the cascaded amplifier/limiter cells has a small signal
gain of 14.3 dB, with a −3 dB bandwidth of 900 MHz. The input
is fully differential and at a moderately high impedance (1.1 kΩ
in parallel with about 1.4 pF). The AD8307 provides a basic
dynamic range extending from approximately −75 dBm (where
dBm refers to a 50 Ω source, that is, a sine amplitude of about
±56 μV) up to +17 dBm (a sine amplitude of ±2.2 V). A simple
input matching network can lower this range to –88 dBm to
+3 dBm. The logarithmic linearity is typically within ±0.3 dB up
to 100 MHz over the central portion of this range, and degrades
only slightly at 500 MHz. There is no minimum frequency limit.
The AD8307 can be used at audio frequencies of 20 Hz or lower.
The output is a voltage scaled 25 mV/dB, generated by a current
of nominally 2 μA/dB through an internal 12.5 kΩ resistor. This
voltage varies from 0.25 V at an input of −74 dBm (that is, the
ac intercept is at −84 dBm, a 20 μV rms sine input), up to 2.5 V
for an input of +16 dBm. This slope and intercept can be trimmed
using external adjustments. Using a 2.7 V supply, the output
scaling can be lowered, for example to 15 mV/dB, to permit
utilization of the full dynamic range.
The AD8307 exhibits excellent supply insensitivity and temperature
stability of the scaling parameters. The unique combination of
low cost, small size, low power consumption, high accuracy and
stability, very high dynamic range, and a frequency range
encompassing audio through IF to UHF makes this product
useful in numerous applications requiring the reduction of a
signal to its decibel equivalent.
The AD8307 operates over the industrial temperature range of
−40°C to +85°C, and is available in 8-lead SOIC and 8-lead
PDIP packages.
AD8307
Rev. D | Page 2 of 24
TABLE OF CONTENTS
Features .............................................................................................. 1
Applications ....................................................................................... 1
Functional Block Diagram .............................................................. 1
General Description ......................................................................... 1
Revision History ............................................................................... 2
Specifications ..................................................................................... 3
Absolute Maximum Ratings ............................................................ 4
ESD Caution .................................................................................. 4
Pin Configuration and Function Descriptions ............................. 5
Typical Performance Characteristics ............................................. 6
Log Amp Theory .............................................................................. 9
Progressive Compression .......................................................... 10
Demodulating Log Amps .......................................................... 11
Intercept Calibration .................................................................. 12
Offset Control ............................................................................. 12
Extension of Range ..................................................................... 13
Interfaces .......................................................................................... 14
Enable Interface .......................................................................... 14
Input Interface ............................................................................ 14
Offset Interface ........................................................................... 15
Output Interface ......................................................................... 15
Theory of Operation ...................................................................... 17
Basic Connections ...................................................................... 17
Input Matching ........................................................................... 18
Narrow-Band Matching ............................................................ 18
Slope and Intercept Adjustments ............................................. 19
Applications Information .............................................................. 20
Buffered Output .......................................................................... 20
Four-Pole Filter ........................................................................... 20
1 μW to 1 kW 50 Ω Power Meter ............................................. 21
Measurement System with 120 dB Dynamic Range .............. 21
Operation at Low Frequencies .................................................. 22
Outline Dimensions ....................................................................... 23
Ordering Guide .......................................................................... 24
REVISION HISTORY
7/08—Rev. C to Rev. D
Deleted DC-Coupled Applications Section ................................ 22
Deleted Operation Above 500 MHz Section .............................. 23
Updated Outline Dimensions ....................................................... 23
10/06—Rev. B to Rev. C
Updated Format .................................................................. Universal
Changes to Table 1 ............................................................................ 3
Changes to Table 3 ............................................................................ 5
Changes to Offset Interface ........................................................... 15
Changes to Output Interface ......................................................... 15
Updated captions to Outline Dimensions ................................... 24
Changes to Ordering Guide .......................................................... 24
6/03—Rev. A to Rev. B
Renumbered TPCs and Figures ........................................ Universal
Changes to Ordering Guide ............................................................ 3
Changes to Figure 24 ...................................................................... 17
Deleted Evaluation Board Information ....................................... 18
Updated Outline Dimensions ....................................................... 19
AD8307
Rev. D | Page 3 of 24
SPECIFICATIONS
VS = 5 V, TA = 25°C, RL ≥ 1 MΩ, unless otherwise noted.
Table 1.
Parameter Conditions Min Typ Max Unit
GENERAL CHARACTERISTICS
Input Range (±3 dB Error) From noise floor to maximum input 92 dB
Input Range (±1 dB Error) From noise floor to maximum input 88 dB
Logarithmic Conformance f ≤ 100 MHz, central 80 dB ±0.3 ±1 dB
f = 500 MHz, central 75 dB ±0.5 dB
Logarithmic Slope Unadjusted1 23 25 27 mV/dB
vs. Temperature 23 27 mV/dB
Logarithmic Intercept Sine amplitude, unadjusted2 20 μV
Equivalent sine power in 50 Ω −87 −84 −77 dBm
vs. Temperature −88 −76 dBm
Input Noise Spectral Density Inputs shorted 1.5 nV/√Hz
Operating Noise Floor RSOURCE = 50 Ω/2 −78 dBm
Output Resistance Pin 4 to ground 10 12.5 15 kΩ
Internal Load Capacitance 3.5 pF
Response Time Small signal, 10% to 90%, 0 mV to 100 mV, CL = 2 pF 400 ns
Large signal, 10% to 90%, 0 V to 2.4 V, CL = 2 pF 500 ns
Upper Usable Frequency 500 MHz
Lower Usable Frequency AC-coupled input 10 Hz
AMPLIFIER CELL CHARACTERISTICS
Cell Bandwidth −3 dB 900 MHz
Cell Gain 14.3 dB
INPUT CHARACTERISTICS
DC Common-Mode Voltage AC-coupled input 3.2 V
Common-Mode Range Either input (small signal) −0.3 +1.6 VS − 1 V
DC Input Offset Voltage3 RSOURCE ≤ 50 Ω 50 500 μV
Drift 0.8 μV/°C
Incremental Input Resistance Differential 1.1 kΩ
Input Capacitance Either pin to ground 1.4 pF
Bias Current Either input 10 25 μA
POWER INTERFACES
Supply Voltage 2.7 5.5 V
Supply Current VENB ≥ 2 V 8 10 mA
Disabled VENB ≤ 1 V 150 750 μA
1 This can be adjusted downward by adding a shunt resistor from the output to ground. A 50 kΩ resistor reduces the nominal slope to 20 mV/dB.
2 This can be adjusted in either direction by a voltage applied to Pin 5, with a scale factor of 8 dB/V.
3 Normally nulled automatically by internal offset correction loop and can be manually nulled by a voltage applied between Pin 3 and ground; see the
Applications Information section.
AD8307
Rev. D | Page 4 of 24
ABSOLUTE MAXIMUM RATINGS
Table 2.
Parameter Ratings
Supply 7.5 V
Input Voltage (Pin 1 and Pin 8) VSUPPLY
Storage Temperature Range (N, R) −65°C to +125°C
Ambient Temperature Range, Rated
Performance Industrial, AD8307AN,
AD8307AR
−40°C to +85°C
Lead Temperature Range
(Soldering, 10 sec)
300°C
Stresses above those listed under Absolute Maximum Ratings
can cause permanent damage to the device. This is a stress
rating only; functional operation of the device at these or any
other conditions above those indicated in the operational
section of this specification is not implied. Exposure to absolute
maximum rating conditions for extended periods can affect
device reliability.
ESD CAUTION
AD8307
Rev. D | Page 5 of 24
PIN CONFIGURATION AND FUNCTION DESCRIPTIONS
INP
VPS
ENB
INT
COM
OFS
OUT
INM
AD8307
TOP VIEW
(Not to Scale)
1
2
3
4
8
7
6
5
01
08
2-
00
2
Figure 2. Pin Configuration
Table 3. Pin Function Descriptions
Pin No. Mnemonic Description
1 INM Signal Input Minus Polarity. Normally at VPOS/2.
2 COM Common Pin (Usually Grounded).
3 OFS Offset Adjustment. External capacitor connection.
4 OUT Logarithmic (RSSI) Output Voltage. ROUT = 12.5 kΩ.
5 INT Intercept Adjustment, ±3 dB. (See the Slope and Intercept Adjustments section.)
6 ENB CMOS-Compatible Chip Enable. Active when high.
7 VPS Positive Supply: 2.7 V to 5.5 V.
8 INP Signal Input Plus Polarity. Normally at VPOS/2. Due to the symmetrical nature of the response, there is no special
significance to the sign of the two input pins. DC resistance from INP to INM = 1.1 kΩ.
AD8307
Rev. D | Page 6 of 24
TYPICAL PERFORMANCE CHARACTERISTICS
8
3
0
1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7
7
4
2
1
6
5
1.8 1.9 2.0
01
08
2-
00
3
SU
PP
LY
C
U
R
R
EN
T
(m
A
)
VENB (V)
Figure 3. Supply Current vs. VENB (5 V)
8
3
0
1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7
7
4
2
1
6
5
1.8 1.9 2.0
01
08
2-
00
4
SU
PP
LY
C
U
R
R
EN
T
(m
A
)
VENB (V)
Figure 4. Supply Current vs. VENB (3 V)
3
2
–3
200–20–40–60–80
1
0
–1
–2
INPUT FREQUENCY = 100MHz
INPUT FREQUENCY = 300MHz
01
08
2-
00
5
ER
R
O
R
(d
B
)
INPUT LEVEL (dBm)
Figure 5. Log Conformance vs. Input Level (dBm), 100 MHz and 300 MHz
3
2
–3
200–20–40–60–80
1
0
–1
–2
01
08
2-
00
6
ER
R
O
R
(d
B
)
INPUT LEVEL (dBm)
TEMPERATURE ERROR @ –40°C
TEMPERATURE ERROR @ +25°C
TEMPERATURE ERROR @ +85°C
Figure 6. Log Conformance vs. Input Level (dBm) at −40°C, +25°C, and +85°C
INPUT FREQUENCY 10MHz
INPUT FREQUENCY 100MHz
INPUT FREQUENCY 300MHz
INPUT FREQUENCY 500MHz
3
0
200–20–40–60–80
2
1
01
08
2-
00
7
V O
U
T
(V
)
INPUT LEVEL (dBm)
Figure 7. VOUT vs. Input Level (dBm) at Various Frequencies
CFO VALUE = 0.01µF
CFO VALUE = 1µF
CFO VALUE = 0.1µF
1.5
1.0
–1.5
200–20–40–60–80
0.5
0
–0.5
–1.0
01
08
2-
00
8
ER
R
O
R
(d
B
)
INPUT LEVEL (dBm)
Figure 8. Log Conformance vs. CFO Values at 1 kHz Input Frequency
AD8307
Rev. D | Page 7 of 24
3.0
0
0.5
200–20 –10 10–40–60–80 –70 –50 –30
2.0
1.0
2.5
1.5
01
08
2-
00
9
V O
U
T
(V
)
INPUT LEVEL (dBm)
INT PIN = 3.0V
10MHz, INT = –96.52dBm
INT PIN = 4.0V
10MHz, INT = –87.71dBm
NO CONNECT ON INT
10MHz, INT = –82.90dBm
Figure 9. VOUT vs. Input Level at 5 V Supply; Showing Intercept Adjustment
3.0
0
0.5
0–20 –10 10–40–60–80 –70 –50 –30
2.0
1.0
2.5
1.5
01
08
2-
01
0
V O
U
T
(V
)
INPUT LEVEL (dBm)
INT VOLTAGE
INT = 1.0V, INT = –86dBm
INT VOLTAGE
INT NO CONNECT, INT = –71dBm
INT VOLTAGE
INT = 2.0V, INT = –78dBm
Figure 10. VOUT vs. Input Level at 3 V Supply Using AD820 as Buffer,
Gain = +2; Showing Intercept Adjustment
2.5
0
200–20–40–60–80
2.0
1.0
1.5
0.5
01
08
2-
01
1
V O
U
T
(V
)
INPUT LEVEL (dBm)
100MHz @ –40°C
100MHz @ +85°C
100MHz @ +25°C
Figure 11. VOUT vs. Input Level at Three Temperatures (−40°C, +25°C, +85°C)
–INPUT
+INPUT
100MHz
3
2
–3
200–20–40–60–80
1
0
–1
–2
ER
R
O
R
(d
B
)
INPUT LEVEL (dBm)
01
08
2-
01
2
Figure 12. Log Conformance vs. Input Level at 100 MHz Showing
Response to Alternative Inputs
3
2
–3
10–10–30–50–70–90
1
0
–1
–2
ER
R
O
R
(d
B
)
INPUT LEVEL (dBm)
01
08
2-
01
3
100MHz
500MHz
Figure 13. Log Conformance vs. Input Level at 100 MHz and 500 MHz;
Input Driven Differentially Using Transformer
3
2
–3
100–10–20 20–30–40–50–60–70
1
0
–1
–2
ER
R
O
R
(d
B
)
INPUT LEVEL (dBm)
01
08
2-
01
4
100MHz
500MHz
10MHz
Figure 14. Log Conformance vs. Input Level at 3 V Supply
Using AD820 as Buffer, Gain = +2
AD8307
Rev. D | Page 8 of 24
VENB
CH 2
VOUT
CH 1
GND
01
08
2-
01
5
500nsCH2 2.00V
CH1 200mV
Figure 15. Power-Up Response Time
VENB
CH 2
VOUT
CH 1
GND
01
08
2-
01
6
500nsCH2 2.00V
CH1 200mV
Figure 16. Power-Down Response Time
AD8307
0.1µF
VPS = 5.0V
1nF
1nF
52.3Ω
HP8648B
SIGNAL
GENERATOR
RF OUT OUT
HP8112A
PULSE
GENERATOR
TEK P6139A
10x PROBE
SYNCH OUT
TRIG
NC
INP VPS ENB INT
INM COM OFS OUT
NC
NC = NO CONNECT
8 7 6 5
2 3 41
TEK744A
SCOPE
01
08
2-
01
7
Figure 17. Test Setup for Power-Up/Power-Down Response Time
INPUT
SIGNAL
CH2
CH1 GND
2V VOUT
CH1
CH2
GND
01
08
2-
01
8
200nsCH2 1.00V
CH1 500mV
Figure 18. VOUT Rise Time
INPUT
SIGNAL
CH2
2.5V
CH1 GND
VOUT
CH1
CH2
GND
01
08
2-
01
9
200nsCH2 1.00V
CH1 500mV
Figure 19. Large Signal Response Time
PULSE MODE IN
10MHz REF CLK
OUT
EXT TRIG
AD8307
0.1µF
VPS = 5.0V
1nF
1nF
52.3Ω
HP8648B
SIGNAL
GENERATOR
PULSE
MODULATION
MODE
RF OUT
HP8112A
PULSE
GENERATOR
TEK P6204
FET PROBE
TRIG
OUT
TRIG
NC
INP VPS ENB INT
INM COM OFS OUT
NC
NC = NO CONNECT
8 7 6 5
2 3 41
TEK744A
SCOPE
01
08
2-
02
0
Figure 20. Test Setup for VOUT Pulse Response
AD8307
Rev. D | Page 9 of 24
LOG AMP THEORY
Logarithmic amplifiers perform a more complex operation than
that of classical linear amplifiers, and their circuitry is significantly
different. A good grasp of what log amps do and how they work
can prevent many pitfalls in their application. The essential purpose
of a log amp is not to amplify, though amplification is utilized to
achieve the function. Rather, it is to compress a signal of wide
dynamic range to its decibel equivalent. It is thus a measurement
device. A better term may be logarithmic converter, because its
basic function is the conversion of a signal from one domain of
representation to another via a precise nonlinear transformation.
Logarithmic compression leads to situations that can be confusing
or paradoxical. For example, a voltage offset added to the output
of a log amp is equivalent to a gain increase ahead of its input.
In the usual case where all the variables are voltages, and regardless
of the particular structure, the relationship between the variables
can be expressed as
)/(log XINYOUT VVVV = (1)
where:
VOUT is the output voltage.
VY is the slope voltage; the logarithm is usually taken to base 10
(in which case VY is also the volts per decade).
VIN is the input voltage.
VX is the intercept voltage.
All log amps implicitly require two references, in this example,
VX and VY, which determine the scaling of the circuit. The abso-
lute accuracy of a log amp cannot be any better than the accuracy
of its scaling references. Equation 1 is mathematically incomplete
in representing the behavior of a demodulating log amp, such
as the AD8307, where VIN has an alternating sign. However, the
basic principles are unaffected, and this can be safely used as the
starting point in the analyses of log amp scaling.
VOUT
5VY
4VY
3VY
2VY
–2VY
VY
VOUT = 0
VSHIFT
LOWER INTERCEPT
VIN = VX
0dBc
VIN = 102VX
+40dBc
VIN = 104VX
+80dBc
LOG VIN
01
08
2-
02
1
VIN = 10–2VX
–40dBc
Figure 21. Ideal Log Amp Function
Figure 21 shows the input/output relationship of an ideal log amp,
conforming to Equation 1. The horizontal scale is logarithmic and
spans a wide dynamic range, shown in Figure 21 as over 120 dB, or
six decades. The output passes through zero (the log intercept)
at the unique value VIN = VX and ideally becomes negative for
inputs below the intercept. In the ideal case, the straight line
describing VOUT for all values of VIN continues indefinitely in both
directions. The dotted line shows that the effect of adding an
offset voltage, VSHIFT, to the output is to lower the effective intercept
voltage, VX. Exactly the same alteration can be achieved by raising
the gain (or signal level) ahead of the log amp by the factor,
VSHIFT/VY. For example, if VY is 500 mV per decade (25 mV/dB),
an offset of 150 mV added to the output appears to lower the
intercept by two
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