FEATURES
Two Channels with Independent Gain Control
“Linear in dB” Gain Response
Two Gain Ranges:
AD600: 0 dB to 40 dB
AD602: –10 dB to +30 dB
Accurate Absolute Gain: 0.3 dB
Low Input Noise: 1.4 nV/√Hz
Low Distortion: –60 dBc THD at 1 V Output
High Bandwidth: DC to 35 MHz (–3 dB)
Stable Group Delay: 2 ns
Low Power: 125 mW (Max) per Amplifier
Signal Gating Function for Each Amplifier
Drives High-Speed A/D Converters
MIL-STD-883-Compliant and DESC Versions Available
APPLICATIONS
Ultrasound and Sonar Time-Gain Control
High-Performance Audio and RF AGC Systems
Signal Measurement
PRODUCT DESCRIPTION
The AD600 and AD602 dual channel, low noise variable gain
amplifiers are optimized for use in ultrasound imaging systems,
but are applicable to any application requiring very precise gain,
low noise and distortion, and wide bandwidth. Each independent channel provides a gain of 0 dB to +40 dB in the AD600
and –10 dB to +30 dB in the AD602. The lower gain of the
AD602 results in an improved signal-to-noise ratio at the output. However, both products have the same 1.4 nV/√Hz input
noise spectral density. The decibel gain is directly proportional
to the control voltage, is accurately calibrated, and is supplyand temperature-stable.
To achieve the difficult performance objectives, a proprietary
circuit form—the X-AMP
nel of the X-AMP comprises a variable attenuator of 0 dB to
–42.14 dB followed by a high speed fixed gain amplifier. In this
way, the amplifier never has to cope with large inputs, and can
benefit from the use of negative feedback to precisely define the
gain and dynamics. The attenuator is realized as a seven-stage
R-2R ladder network having an input resistance of 100 Ω, lasertrimmed to ± 2%. The attenuation between tap points is 6.02 dB;
the gain-control circuit provides continuous interpolation between
these taps. The resulting control function is linear in dB.
X-AMP is a registered trademark of Analog Devices, Inc.
*Patented.
®
—has been developed. Each chan-
Variable Gain Amplifiers
AD600/AD602*
FUNCTIONAL BLOCK DIAGRAM
GAT1
SCALING
REFERENCE
C1HI
V
G
C1LO
GAIN CONTROL
INTERFACE
A1HI
A1LO
0dB
500
–12.04dB
–6.02dB
R – 2R LADDER NETWORK
The gain-control interfaces are fully differential, providing an
input resistance of ~15 MΩ and a scale factor of 32 dB/V (that
is, 31.25 mV/dB) defined by an internal voltage reference. The
response time of this interface is less than 1 µs. Each channel
also has an independent gating facility that optionally blocks
signal transmission and sets the dc output level to within a few
millivolts of the output ground. The gating control input is TTL
and CMOS compatible.
The maximum gain of the AD600 is 41.07 dB, and that of the
AD602 is 31.07 dB; the –3 dB bandwidth of both models is
nominally 35 MHz, essentially independent of the gain. The
signal-to-noise ratio (SNR) for a 1 V rms output and a 1 MHz
noise bandwidth is typically 76 dB for the AD600 and 86 dB for
the AD602. The amplitude response is flat within ±0.5 dB from
100 kHz to 10 MHz; over this frequency range the group delay
varies by less than ±2 ns at all gain settings.
Each amplifier channel can drive 100 Ω load impedances with
low distortion. For example, the peak specified output is ±2.5 V
minimum into a 500 Ω load, or ±1 V into a 100 Ω load. For a
200 Ω load in shunt with 5 pF, the total harmonic distortion for
a ±1 V sinusoidal output at 10 MHz is typically –60 dBc.
The AD600J and AD602J are specified for operation from 0°C
to 70°C, and are available in both 16-lead plastic DIP (N) and
16-lead SOIC (R). The AD600A and AD602A are specified for
operation from –40°C to +85°C and are available in both 16-lead
cerdip (Q) and 16-lead SOIC (R).
The AD600S and AD602S are specified for operation from
–55°C to +125°C and are available in a 16-lead cerdip (Q)
package and are MIL-STD-883 compliant. The AD600S and
AD602S are also available under DESC SMD 5962-94572.
PRECISION PASSIVE
INPUT ATTENUATOR
–22.08dB
–18.06dB
–30.1dB
–36.12dB
–42.14dB
62.5
GATING
INTERFACE
RF2
2.24k(AD600)
694(AD602)
RF1
20
FIXED-GAIN
AMPLIFIER
41.07dB(AD600)
31.07(AD602)
A1OP
A1CM
REV. B
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
which may result from its use. No license is granted by implication or
otherwise under any patent or patent rights of Analog Devices.
(Each amplifier section, at TA = 25C, VS = 5 V, –625 mV ≤ VG ≤
+625 mV, RL = 500 , and CL = 5 pF, unless otherwise noted. Specifications for AD600 and AD602 are identical unless otherwise noted.)
AD600J/AD602JAD600A/AD602A
ParameterConditionsMinTypMaxMinTypMaxUnit
INPUT CHARACTERISTICS
Input ResistancePins 2 to 3; Pins 6 to 79810010295100105Ω
Input Capacitance22pF
Input Noise Spectral Density
Noise FigureR
Common-Mode Rejection Ratiof = 100 kHz3030dB
OUTPUT CHARACTERISTICS
–3 dB BandwidthV
Slew Rate275275V/µs
Peak Output
2
Output Impedancef ≤ 10 MHz22Ω
Output Short-Circuit Current5050mA
Group Delay Change vs. Gainf = 3 MHz; Full Gain Range±2±2ns
Group Delay Change vs. FrequencyVG = 0 V, f = 1 MHz to 10 MHz±2±2ns
Total Harmonic DistortionRL= 200 Ω, V
ACCURACY
AD600
Gain Error0 dB to 3 dB Gain0+0.5+1–0.5+0.5+1.5dB
Maximum Output Offset Voltage3VG = –625 mV to +625 mV10501065mV
Output Offset VariationVG = –625 mV to +625 mV10501065mV
AD602
Gain Error–10 dB to –7 dB Gain0+0.5+1–0.5+0.5+1.5dB
Maximum Output Offset Voltage3VG = –625 mV to +625 mV5301045mV
Output Offset VariationVG = –625 mV to +625 mV5301045mV
GAIN CONTROL INTERFACE
Gain Scaling Factor3 dB to 37 dB (AD600); –7 dB to +27 dB (AD602) 31.73232.330.53233.5dB/V
Common-Mode Range–0.75+2.5–0.75+2.5V
Input Bias Current0.3510.351µA
Input Offset Current10501050nA
Differential Input ResistancePins 1 to 16; Pins 8 to 91515MΩ
Response RateFull 40 dB Gain Change4040dB/µs
SIGNAL GATING INTERFACE
Logic Input “LO” (Output ON)0.80.8V
Logic Input “HI” (Output OFF)2.42.4V
Response TimeON to OFF, OFF to ON0.30.3µs
Input ResistancePins 4 to 3; Pins 5 to 63030kΩ
Output Gated OFF
Typical open or short-circuited input; noise is lower when system is set to maximum gain and input is short-circuited. This figure includes the effects of both voltage
and current noise sources.
2
Using resistive loads of 500 Ω or greater, or with the addition of a 1 kΩ pull-down resistor when driving lower loads.
3
The dc gain of the main amplifier in the AD600 is X113; thus an input offset of only 100 µV becomes an 11.3 mV output offset. In the AD602, the amplifier’s gain is
X35.7; thus, an input offset of 100 µV becomes a 3.57 mV output offset.
Specifications shown in boldface are tested on all production units at final electrical test. Results from those tests are used to calculate outgoing quality levels. All min
and max specifications guaranteed, although only those shown in boldface are tested on all production units.
Specifications subject to change without notice.
1
= 50 Ω, Maximum Gain5.35.3dB
S
1.41.4nV/√Hz
RS = 200 Ω, Maximum Gain22dB
= 100 mV rms3535MHz
OUT
RL ≥ 500 Ω±2.5± 3±2.5±3V
= ±1 V Peak, Rpd = 1 kΩ–60–60dBc
OUT
3 dB to 37 dB Gain–0.5± 0.2+0.5–1.0± 0.2+1.0dB
37 dB to 40 dB Gain–1–0.50–1.5–0.5+0.5dB
–7 dB to +27 dB Gain–0.5±0.2+0.5–1.0± 0.2+1.0dB
27 dB to 30 dB Gain–1–0.50–1.5–0.5+0.5dB
Operating Temperature Range (J) . . . . . . . . . . . . 0°C to 70°C
Operating Temperature Range (A) . . . . . . . . –40°C to +85°C
Operating Temperature Range (S) . . . . . . . –55°C to +125°C
Storage Temperature Range . . . . . . . . . . . . –65°C to +150°C
Lead Temperature Range (Soldering 60 sec) . . . . . . . . . 300°C
NOTES
1
Stresses above those listed under Absolute Maximum Ratings may cause perma-
nent 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 may affect device reliability.
AD600AQ0 dB to 40 dB–40°C to +85°CQ-16
AD600AR0 dB to 40 dB–40°C to +85°CR-16
AD600AR-REEL0 dB to 40 dB–40°C to +85°C13" Reel
AD600AR-REEL7 0 dB to 40 dB–40°C to +85°C7" Reel
AD600JN0 dB to 40 dB0°C to 70°CN-16
AD600JR0 dB to 40 dB0°C to 70°CR-16
AD600JR-REEL0 dB to 40 dB0°C to 70°C13" Reel
AD600JR-REEL70 dB to 40 dB0°C to 70°C7" Reel
AD600SQ/883B
2
0 dB to 40 dB–55°C to +125°C Q-16
AD602AQ–10 dB to +30 dB –40°C to +85°CQ-16
AD602AR–10 dB to +30 dB–40°C to +85°CR-16
AD602AR-REEL–10 dB to +30 dB –40°C to +85°C13" Reel
AD602AR-REEL7 –10 dB to +30 dB –40°C to +85°C7" Reel
AD602JN–10 dB to +30 dB 0°C to 70°CN-16
AD602JR–10 dB to +30 dB 0°C to 70°CR-16
AD602JR-REEL–10 dB to +30 dB0°C to 70°C13" Reel
AD602JR-REEL7–10 dB to +30 dB 0°C to 70°C7" Reel
AD602SQ/883B3–10 dB to +30 dB –55°C to +150°C
NOTES
1
N = Plastic DIP; Q = Cerdip; R = Small Outline IC (SOIC).
2
Refer to AD600/AD602 Military data sheet. Also available as 5962-9457201MEA.
3
Refer to AD600/AD602 Military data sheet. Also available as 5962-9457202MEA.
Q-16
PIN FUNCTION DESCRIPTIONS
Pin MnemonicDescription
1C1LOCH1 Gain-Control Input “LO” (Positive
Voltage Reduces CH1 Gain).
2A1HICH1 Signal Input “HI” (Positive Voltage
Increases CH1 Output).
3A1LOCH1 Signal Input “LO” (Usually Taken to
CH1 Input Ground)
4GAT1CH1 Gating Input (A Logic “HI” Shuts Off
CH1 Signal Path).
5GAT2CH2 Gating Input (A Logic “HI” Shuts Off
CH2 Signal Path).
6A2LOCH2 Signal Input “LO” (Usually Taken to
CH2 Input Ground).
7A2HICH2 Signal Input “HI” (Positive Voltage
Increases CH2 Output).
8C2LOCH2 Gain-Control Input “LO” (Positive
Voltage Reduces CH2 Gain).
9C2HICH2 Gain-Control Input “HI” (Positive
Voltage Increases CH2 Gain).
10A2CMCH2 Common (Usually Taken to CH2
Output Ground).
11A2OPCH2 Output.
12VNEGNegative Supply for Both Amplifiers.
13VPOSPositive Supply for Both Amplifiers.
14A1OPCH1 Output.
15A1CMCH1 Common (Usually Taken to CH1
ESD (electrostatic discharge) sensitive device. Electrostatic charges as high as 4000 V readily
accumulate on the human body and test equipment and can discharge without detection. Although
the AD600/AD602 features proprietary ESD protection circuitry, permanent damage may occur on
devices subjected to high-energy electrostatic discharges. Therefore, proper ESD precautions are
recommended to avoid performance degradation or loss of functionality.
REV. B
–3–
WARNING!
ESD SENSITIVE DEVICE
AD600/AD602–Typical Performance Characteristics
0.45
0.35
20dB
17dB
0
–45
–90
100k1M100M10M
FREQUENCY – Hz
–0.05
–0.15
GAIN ERROR – dB
–0.25
–0.35
–0.45
0.25
0.15
0.05
–0.5–0.7
GAIN CONTROL VOLTAGE – Volts
0.50.30.1–0.1–0.3
0.7
10dB
7dB
0
–45
–90
100k1M100M10M
FREQUENCY – Hz
TPC 1. Gain Error vs. Gain Control
Voltage
10.0
9.8
9.6
9.4
9.2
9.0
8.8
8.6
GROUP DELAY – ns
8.4
8.2
8.0
GAIN CONTROL VOLTAGE – Volts
0.7–0.5–0.70.50.30.1–0.1–0.3
TPC 4. AD600 and AD602 Typical
Group Delay vs. V
102
101
100
99
98
97
96
95
INPUT IMPEDANCE –
94
93
92
100k1M100M10M
FREQUENCY – Hz
C
GAIN = 40dB
GAIN = 20dB
GAIN = 0dB
TPC 2. AD600 Frequency and Phase
Response vs. Gain
VG = 0V
10dB/DIV
CENTER
FREQ 1MHz
10kHz/DIV
TPC 5. Third Order Intermodulation Distortion, V
= 500
R
L
–1
–2
OUTPUT OFFSET VOLTAGE – mV
–3
–4
Ω
6
5
4
3
2
1
0
–0.5
–0.7
GAIN CONTROL VOLTAGE – Volts
OUT
AD602
= 2 V p-p,
AD600
0.7
0.50.1 0.3–0.3 –0.1
TPC 3. AD602 Frequency and Phase
Response vs. Gain
–1.0
–1.2
–1.4
–1.6
–1.8
–2.0
–2.2
–2.4
–2.6
–2.8
–3.0
–3.2
NEGATIVE OUTPUT VOLTAGE LIMIT – Volts
–3.4
50
0
LOAD RESISTANCE –
20001000500200100
TPC 6. Typical Output Voltage vs.
Load Resistance (Negative Output
Swing Limits First)
1µs
100
90
OUTPUTINPUT
10
0%
1V VOUT
1V VC
TPC 7. Input Impedance vs.
Frequency
TPC 8. Output Offset vs. Gain
Control Voltage (Control Channel
Feedthrough)
–4–
TPC 9. Gain Control Channel
Response Time. Top: Output Volt-
age, 2 V max, Bottom: Gain Con-
trol Voltage V
= ±625 mV
C
REV. B
AD600/AD602
50mV
100
90
OUTPUT
10
0%
INPUT
5V
100ns
TPC 10. Gating Feedthrough to
Output, Gating Off to On
500mV
100
90
OUTPUTINPUT
10
0%
1V
200ns
TPC 13. Input Stage Overload
Recovery Time
50mV
100
90
OUTPUTINPUT
10
0%
5V
100ns
TPC 11. Gating Feedthrough to
Output, Gating On to Off
1V
100
90
OUTPUTINPUT
10
0%
200mV
500ns
TPC 14. Output Stage Overload
Recovery Time
1V
100
90
OUTPUT
10
0%
INPUT
100mV
TPC 12. Transient Response,
Medium and High Gain
500mV
100
90
OUTPUTINPUT
10
0%
1V
TPC 15. Transient Response
Minimum Gain
500ns
500ns
10
AD600: G = 20dB
5
AD602: G = 10dB
BOTH: V
0
V
R
–5
T
–10
–15
–20
CMRR – dB
–25
–30
–35
–40
1k10k100k1M10M100M
= 100mV RMS
CM
= 5V
S
= 500
L
= 25C
A
AD600
FREQUENCY – Hz
AD602
TPC 16. CMRR vs. Frequency
20
10
0
–10
–20
–30
–40
PSRR – dB
–50
–60
–70
–80
100k1M100M10M
AD600
AD602
FREQUENCY – Hz
AD600: G = 40dB
AD602: G = 30dB
BOTH: R
V
R
TPC 17. PSRR vs. Frequency
= 500
L
= 0V
IN
= 50
S
10
AD600: CH1 G = 40dB, V
0
–10
–20
–30
–40
–50
CROSSTALK – dB
–60
–70
–80
–90
100k1M100M10M
CH2 G = 20dB, V
AD602: CH1 G = 30dB, V
CH2 G = 0dB, V
BOTH: V
CROSSTALK = 20log
= 1V RMS1, RS = 50,
OUT
= 500
R
L
FREQUENCY – Hz
= 0
IN
= 100mV
IN
= 0
IN
= 316mV
IN
CH1 V
OUT
{}
CH2 V
IN
AD600
AD602
TPC 18. Crosstalk Between A1
and A2 vs. Frequency
REV. B
–5–
AD600/AD602
THEORY OF OPERATION
The AD600 and AD602 have the same general design and
features. They comprise two fixed gain amplifiers, each preceded by a voltage-controlled attenuator of 0 dB to 42.14 dB
with independent control interfaces, each having a scaling factor
of 32 dB per volt. The gain of each amplifier in the AD600 is
laser trimmed to 41.07 dB (X113), thus providing a control
range of –1.07 dB to 41.07 dB (0 dB to 40 dB with overlap),
while the AD602 amplifiers have a gain of 31.07 dB (X35.8)
and provide an overall gain of –11.07 dB to 31.07 dB (–10 dB to
30 dB with overlap).
The advantage of this topology is that the amplifier can use
negative feedback to increase the accuracy of its gain; also, since
the amplifier never has to handle large signals at its input, the
distortion can be very low. A further feature of this approach is
that the small-signal gain and phase response, and thus the
pulse response, are essentially independent of gain.
The following discussion describes the AD600. Figure 1 is a
simplified schematic of one channel. The input attenuator is a
seven-section R-2R ladder network, using untrimmed resistors
of nominally R = 62.5 Ω, which results in a characteristic resistance of 125 Ω ± 20%. A shunt resistor is included at the input
and laser trimmed to establish a more exact input resistance of
100 Ω ± 2%, which ensures accurate operation (gain and HP
corner frequency) when used in conjunction with external resistors or capacitors.
GAT1
PRECISION PASSIVE
INPUT ATTENUATOR
–22.08dB
–18.06dB
–30.1dB
–36.12dB
–42.14dB
62.5
GATING
INTERFACE
RF2
2.24k(AD600)
694(AD602)
RF1
20
FIXED-GAIN
AMPLIFIER
41.07dB(AD600)
31.07(AD602)
A1OP
A1CM
C1HI
C1LO
A1HI
A1LO
SCALING
REFERENCE
V
G
GAIN CONTROL
INTERFACE
0dB
500
–12.04dB
–6.02dB
R – 2R LADDER NETWORK
Figure 1. Simplified Block Diagram of Single Channel of
the AD600 and AD602
The nominal maximum signal at input A1HI is 1 V rms (±1.4 V
peak) when using the recommended ± 5 V supplies, although
operation to ±2 V peak is permissible with some increase in HF
distortion and feedthrough. Each attenuator is provided with a
separate signal “LO” connection, for use in rejecting commonmode, the voltage between input and output grounds. Circuitry
is included to provide rejection of up to ±100 mV.
The signal applied at the input of the ladder network is attenuated by 6.02 dB by each section; thus, the attenuation to each of
the taps is progressively 0, 6.02, 12.04, 18.06, 24.08, 30.1, 36.12
and 42.14 dB. A unique circuit technique is employed to interpolate between these tap points, indicated by the “slider” in Figure
1, providing continuous attenuation from 0 dB to 42.14 dB.
It will help, in understanding the AD600, to think in terms of a
mechanical means for moving this slider from left to right; in
fact, it is voltage controlled. The details of the control interface
are discussed later. Note that the gain is at all times exactly
determined, and a linear decibel relationship is automatically
guaranteed between the gain and the control parameter which
determines the position of the slider. In practice, the gain deviates from the ideal law, by about ±0.2 dB peak (see, for example,
Figure 6).
Note that the signal inputs are not fully differential: A1LO and
A1CM (for CH1) and A2LO and A2CM (for CH2) provide
separate access to the input and output grounds. This recognizes the practical fact that even when using a ground plane,
small differences will arise in the voltages at these nodes. It is
important that A1LO and A2LO be connected directly to the
input ground(s); significant impedance in these connections will
reduce the gain accuracy. A1CM and A2CM should be connected to the load ground(s).
Noise Performance
An important reason for using this approach is the superior
noise performance that can be achieved. The nominal resistance
seen at the inner tap points of the attenuator is 41.7 Ω (one third
of 125 Ω), which exhibits a Johnson noise spectral density (NSD)
of 0.84 nV/√Hz (that is, √4kTR) at 27°C, which is a large fraction
of the total input noise. The first stage of the amplifier contributes a further 1.12 nV/√Hz, for a total input noise of 1.4 nV/√Hz.
The noise at the 0 dB tap depends on whether the input is
short-circuited or open-circuited: when shorted, the minimum
NSD of 1.12 nV/√Hz is achieved; when open, the resistance
of 100 Ω at the first tap generates 1.29 nV/√Hz, so the noise
increases to a total of 1.71 nV/√Hz. (This last calculation would
be important if the AD600 were preceded, for example, by a
900 Ω resistor to allow operation from inputs up to ±10 V rms.
However, in most cases the low impedance of the source will
limit the maximum noise resistance.)
It will be apparent from the foregoing that it is essential to use a
low resistance in the design of the ladder network to achieve low
noise. In some applications this may be inconvenient, requiring
the use of an external buffer or preamplifier. However, very few
amplifiers combine the needed low noise with low distortion at
maximum input levels, and the power consumption needed to
achieve this performance is fundamentally required to be quite
high (due to the need to maintain very low resistance values
while also coping with large inputs). On the other hand, there is
little value in providing a buffer with high input impedance,
since the usual reason for this—the minimization of loading of a
high resistance source—is not compatible with low noise.
Apart from the small variations just discussed, the signal-tonoise (S/N) ratio at the output is essentially independent of the
attenuator setting, since the maximum undistorted output is 1 V
rms and the NSD at the output of the AD600 is fixed at 113
times 1.4 nV/√Hz, or 158 nV/√Hz. Thus, in a 1 MHz bandwidth,
the output S/N ratio would be 76 dB. The input NSD of the
AD600 and AD602 are the same, but because of the 10 dB
lower gain in the AD602’s fixed amplifier, its output S/N ratio is
10 dB better, or 86 dB in a 1 MHz bandwidth.
–6–
REV. B
AD600/AD602
The Gain-Control Interface
The attenuation is controlled through a differential, high impedance (15 MΩ) input, with a scaling factor which is laser trimmed
to 32 dB per volt, that is, 31.25 mV/dB. Each of the two amplifiers
has its own control interface. An internal bandgap reference
ensures stability of the scaling with respect to supply and temperature variations, and is the only circuitry common to both channels.
When the differential input voltage VG = 0 V, the attenuator
“slider” is centered, providing an attenuation of 21.07 dB, thus
resulting in an overall gain of 20 dB (= –21.07 dB + 41.07 dB).
When the control input is –625 mV, the gain is lowered by
20 dB (= 0.625 × 32), to 0 dB; when set to +625 mV, the gain
is increased by 20 dB, to 40 dB. When this interface is overdriven in either direction, the gain approaches either –1.07 dB
(= –42.14 dB + 41.07 dB) or 41.07 dB (= 0 + 41.07 dB),
respectively.
The gain of the AD600 can thus be calculated using the following simple expression:
Gain (dB) = 32 V
where V
is in volts. For the AD602, the expression is:
G
Gain (dB) = 32 V
Operation is specified for V
+ 20(1)
G
+ 10(2)
G
in the range from –625 mV dc
G
to +625 mV dc. The high impedance gain-control input ensures
minimal loading when driving many amplifiers in multiple- channel
applications. The differential input configuration provides flexibility in choosing the appropriate signal levels and polarities for
various control schemes.
For example, the gain-control input can be fed differentially to
the inputs, or single-ended by simply grounding the unused
input. In another example, if the gain is to be controlled by a
DAC providing a positive only ground referenced output, the
“Gain Control LO” pin (either C1LO or C2LO) should be
biased to a fixed offset of +625 mV, to set the gain to 0 dB
when “Gain Control HI” (C1HI or C2HI) is at zero, and to
40 dB when at 1.25 V.
It is a simple matter to include a voltage divider to achieve other
scaling factors. When using an 8-bit DAC having a FS output of
+2.55 V (10 mV/bit) a divider ratio of 1.6 (generating 6.25 mV/
bit) would result in a gain setting resolution of 0.2 dB/ bit. Later,
we will discuss how the two sections of an AD600 or AD602
may be cascaded, when various options exist for gain control.
Signal-Gating Inputs
Each amplifier section of the AD600 and AD602 is equipped
with a signal gating function, controlled by a TTL or CMOS
logic input (GAT1 or GAT2). The ground references for these
inputs are the signal input grounds A1LO and A2LO, respectively. Operation of the channel is unaffected when this input is
LO or left open-circuited. Signal transmission is blocked when
this input is HI. The dc output level of the channel is set to
within a few millivolts of the output ground (A1CM or A2CM),
and simultaneously the noise level drops significantly. The
reduction in noise and spurious signal feedthrough is useful
in ultrasound beam-forming applications, where many amplifier
outputs are summed.
Common-Mode Rejection
A special circuit technique is used to provide rejection of voltages appearing between input grounds (A1LO and A2LO) and
output grounds (A1CM and A2CM). This is necessary because
of the “op amp” form of the amplifier, as shown in Figure 1.
The feedback voltage is developed across the resistor RF1 (which,
to achieve low noise, has a value of only 20 Ω). The voltage
developed across this resistor is referenced to the input common,
so the output voltage is also referred to that node.
To provide rejection of this common voltage, an auxiliary amplifier (not shown) is included, which senses the voltage difference
between input and output commons and cancels this error component. Thus, for zero differential signal input between A1HI
and A1LO, the output A1OP simply follows the voltage at A1CM.
Note that the range of voltage differences which can exist between
A1LO and A1CM (or A2LO and A2CM) is limited to about
±100 mV. Figure 50 (one of the typical performance curves at
the end of this data sheet) shows typical common-mode rejection ratio versus frequency.
ACHIEVING 80 dB GAIN RANGE
The two amplifier sections of the X-AMP can be connected
in series to achieve higher gain. In this mode, the output of
A1 (A1OP and A1CM) drives the input of A2 via a high-pass
network (usually just a capacitor) that rejects the dc offset. The
nominal gain range is now –2 dB to +82 dB for the AD600 or
–22 dB to +62 dB for the AD602.
There are several options in connecting the gain-control inputs.
The choice depends on the desired signal-to-noise ratio (SNR)
and gain error (output ripple). The following examples feature
the AD600; the arguments generally apply to the AD602, with
appropriate changes to the gain values.
Sequential Mode (Maximum S/N Ratio)
In the sequential mode of operation, the SNR is maintained at
its highest level for as much of the gain control range possible,
as shown in Figure 2. Note here that the gain range is 0 dB to
80 dB. Figure 3 shows the general connections to accomplish
this. Both gain-control inputs, C1HI and C2HI, are driven in
parallel by a positive only, ground referenced source with a
range of 0 V to 2.5 V.
85
80
75
70
65
60
55
50
S/N RATIO – dB
45
40
35
30
–0.5
0.0
V
G
3.0
2.52.01.51.00.5
REV. B
Figure 2. S/N Ratio vs. Control Voltage Sequential Control
(1 MHz Bandwidth)
–7–
AD600/AD602
A1
–40.00dB
–40.00dB
C1HI C1LO
V
G1
VO1 = 0.592V
–0.51dB
C1HI C1LO
V
G1
VO1 = 0.592V
0dB
C1HI C1LO
V
G1
VO1 = 0.592V
–0.51dB
0dB
41.07dB
41.07dB
41.07dB
1.07dB
(a)
40.56dB
(b)
41.07dB
(c)
= 1.25V
V
C
V
C
INPUT
= 0V
V
C
INPUT
INPUT
= 2.5V
0dB
0dB
0dB
Figure 3. AD600 Gain Control Input Calculations for Sequential Control Operation
The gains are offset (Figure 4) such that A2’s gain is increased
only after A1’s gain has reached its maximum value. Note that
for a differential input of –700 mV or less, the gain of a single
amplifier (A1 or A2) will be at its minimum value of –1.07 dB;
for a differential input of +700 mV or more, the gain will be at
its maximum value of 41.07 dB. Control inputs beyond these
limits will not affect the gain and can be tolerated without damage or foldover in the response. See the Specifications Section of
this data sheet for more details on the allowable voltage range.
The gain is now
Gain (dB) = 32 V
where V
is the applied control voltage.
C
+41.07dB
20dB
C
A1A2
40.56dB
*
+38.93dB
(3)
*
+1.07dB
GAIN
(dB)
00.6251.251.8752.5
020406080–2.1482.14
*
Figure 4. Explanation of Offset Calibration for Sequential
Control
–0.56dB
–1.07dB
0.5921.908
VC (V)
GAIN OFFSET OF 1.07dB, OR 33.44mV
A2
–41.07dB
–42.14dB
C1HI C1LO
V
G2
VO2 = 1.908V
–1.07dB
–41.63dB
C1HI C1LO
V
G2
V
O2
–2.14dB
C1HI C1LO
V
G2
V
O2
41.07dB
41.07dB
= 1.908V
38.93dB
41.07dB
= 1.908V
OUTPUT
0dB
OUTPUT
40dB
OUTPUT
80dB
When VC is set to zero, VG1 = –0.592 V and the gain of A1 is
+1.07 dB (recall that the gain of each amplifier section is 0 dB
for V
= 625 mV); meanwhile, VG2 = –1.908 V so the gain of
G
A2 is –1.07 dB. The overall gain is thus 0 dB (see Figure 3a).
When V
sets the gain of A1 to 40.56 dB, while V
= +1.25 V, VG1 = 1.25 V– 0.592 V = +0.658 V, which
C
= 1.25 V – 1.908 V =
G2
–0.658 V, which sets A2’s gain at –0.56 dB. The overall gain is
now 40 dB (see Figure 3b). When V
= +2.5 V, the gain of A1
C
is 41.07 dB and that of A2 is 38.93 dB, resulting in an overall
gain of 80 dB (see Figure 3c). This mode of operation is further
clarified by Figure 5, which is a plot of the separate gains of A1
and A2 and the overall gain versus the control voltage. Figure 6
is a plot of the gain error of the cascaded amplifiers versus the
control voltage.
Parallel Mode (Simplest Gain-Control Interface)
In this mode, the gain-control voltage is applied to both inputs
in parallel—C1HI and C2HI are connected to the control voltage, and C1LO and C2LO are optionally connected to an offset
voltage of 0.625 V. The gain scaling is then doubled to 64 dB/V,
requiring only 1.25 V for an 80 dB change of gain. The amplitude of the gain ripple in this case is also doubled, as shown in
Figure 7, and the instantaneous signal-to-noise ratio at the
output of A2 decreases linearly as the gain is increased (Figure 8).
Low Ripple Mode (Minimum Gain Error)
As can be seen in Figures 6 and 7, the output ripple is periodic.
By offsetting the gains of Al and A2 by half the period of the
ripple, or 3 dB, the residual gain errors of the two amplifiers
can be made to cancel. Figure 9 shows the much lower gain rip
ple when configured in this manner. Figure 10 plots the S/N
ratio as a function of gain; it is very similar to that in the
“Parallel Mode.”
–8–
REV. B
OVERALL GAIN – dB
75
30
1.4
40
35
0.20.0
45
50
55
60
65
70
1.21.00.80.60.4
S/N RATIO – dB
V
C
80
35
1.4
45
40
0.20.0
50
55
60
65
70
75
1.21.00.80.60.4
V
C
S/N RATIO – dB
–10
AD600/AD602
90
80
70
60
50
40
30
20
10
0
–0.5
A1
0.0
COMBINED
V
C
A2
2.52.01.51.00.5
3.0
Figure 5. Plot of Separate and Overall Gains in Sequential
Figure 8. SNR for Cascaded Stages—Parallel Control
Control
5
4
3
2
1
0
–1
–2
–3
GAIN ERROR – dB
–4
–5
–6
–7
–8
–0.5
0.0
V
C
2.02.51.51.00.5
3.0
Figure 6. Gain Error for Cascaded Stages—Sequential
Control
5
4
3
2
1
0
–1
–2
REV. B
GAIN ERROR – dB
–3
–4
–5
0
–0.1
V
C
1.21.00.80.40.20.6
Figure 7. Gain Error for Cascaded Stages—Parallel
Control
–9–
1.2
1.0
0.8
0.6
0.4
0.2
0.0
–0.2
–0.4
GAIN ERROR – dB
–0.6
–0.8
–1.0
–1.2
0.0
0.1
V
C
1.3
1.21.11.00.90.70.60.50.40.30.20.8
Figure 9. Gain Error for Cascaded Stages—Low Ripple
Mode
Figure 10. ISNR vs. Control Voltage—Low Ripple Mode
AD600/AD602
APPLICATIONS
The full potential of any high performance amplifier can only be
realized by careful attention to details in its applications. The
following pages describe fully tested circuits in which many such
details have already been considered. However, as is always true
of high accuracy, high speed analog circuits, the schematic is
only part of the story; this is no less true for the AD600 and
AD602. Appropriate choices in the overall board layout and the
type and placement of power supply decoupling components are
very important. As explained previously, the input grounds
A1LO and A2LO must use the shortest possible connections.
The following circuits show examples of time-gain control for
ultrasound and for sonar, methods for increasing the output
drive, and AGC amplifiers for audio and RF/IF signal processing using both peak and rms detectors. These circuits also
illustrate methods of cascading X-AMPs for either maintaining
the optimal S/N ratio or maximizing the accuracy of the gaincontrol voltage for use in signal measurement. These AGC
circuits may be modified for use as voltage-controlled amplifiers
for use in sonar and ultrasound applications by removing the
detector and substituting a DAC or other voltage source for
supplying the control voltage.
Time-Gain Control (TGC) and Time-Variable Gain (TVG)
Ultrasound and sonar systems share a similar requirement: both
need to provide an exponential increase in gain in response to a
linear control voltage, that is, a gain control that is “linear in
dB.” Figure 11 shows the AD600/AD602 configured for a control voltage ramp starting at –625 mV and ending at +625 mV
for a gain-control range of 40 dB. For simplicity, only the A1
connections are shown. The polarity of the gain-control voltage
may be reversed and the control voltage inputs C1HI and C1LO
reversed to achieve the same effect. The gain-control voltage
can be supplied by a voltage-output DAC such as the AD7242,
which contains two complete DACs, operates from ±5 V supplies,
has an internal reference of 3 V, and provides ±3 V of output
swing. As such it is well-suited for use with the AD600/AD602,
needing only a few resistors to scale the output voltage of the
DACs to the levels needed by the AD600/AD602.
CONTROL VOLTAGE,
V
+625mV
0dB40dB
G
–625mV
A1
GAIN
C1LO
A1HI
A1LO
GAT1
GAT2
A2LO
A2HI
C2LO
VOLTAGE-OUTPUT
DAC
1
2
+
3
–
4
5
–
6
+
7
8
AD600 or AD602
A1
A2
REF
V
G
C1HI
16
A1CM
15
A1OP
14
VPOS
13
VNEG
12
A2OP
11
A2CM
10
C2HI
9
+5V
–5V
Figure 11. The Simplest Application of the X-AMP Is as a
TGC or TVG Amplifier in Ultrasound or Sonar. Only the A1
Connections Are Shown for Simplicity.
Increasing Output Drive
The AD600/AD602’s output stage has limited capability for
negative-load driving capability. For driving loads less than
500 Ω, the load drive may be increased by about 5 mA by connecting a 1 kΩ pull-down resistor from the output to the negative
supply (Figure 12).
Driving Capacitive Loads
For driving capacitive loads of greater than 5 pF, insert a 10 Ω
resistor between the output and the load. This lowers the possibility of oscillation.
GAIN-CONTROL
VOLTAG E
C1LO
1
V
IN
A1HI
A1LO
GAT1
GAT2
A2LO
A2HI
C2LO
2
+
–
–
+
A1
REF
A2
AD600
3
4
5
6
7
8
C1HI
16
A1CM
15
A1OP
14
VPOS
+5V
13
VNEG
12
A2OP
11
A2CM
10
C2HI
9
1k
–5V
ADDED
PULL-DOWN
RESISTOR
Figure 12. Adding a 1 kΩ Pull-Down Resistor Increases the
X-AMP’s Output Drive by About 5 mA. Only the A1 Connections Are Shown for Simplicity.
Realizing Other Gain Ranges
Larger gain ranges can be accommodated by cascading amplifiers. Combinations built by cascading two amplifiers include
–20 dB to +60 dB (using one AD602), –10 dB to +70 dB (1/2
of an AD602 followed by 1/2 of an AD600), and 0 dB to 80 dB
(one AD600). In multiple-channel applications, extra protection
against oscillations can be provided by using amplifier sections
from different packages.
An Ultralow Noise VCA
The two channels of the AD600 or AD602 may be operated in
parallel to achieve a 3 dB improvement in noise level, providing
1 nV/√Hz without any loss of gain accuracy or bandwidth.
In the simplest case, as shown in Figure 13, the signal inputs
A1HI and A2HI are tied directly together, the outputs A1OP
and A2OP are summed via R1 and R2 (100 Ω each), and the
control inputs C1HI/C2HI and C1LO/C2LO operate in parallel.
Using these connections, both the input and output resistances
are 50 Ω. Thus, when driven from a 50 Ω source and terminated in a 50 Ω load, the gain is reduced by 12 dB, so the gain
range becomes –12 dB to +28 dB for the AD600 and –22 dB to
+18 dB for the AD602. The peak input capability remains unaffected (1 V rms at the IC pins, or 2 V rms from an unloaded
50 Ω source). The loading on each output, with a 50 Ω load, is
effectively 200 Ω, because the load current is shared between
the two channels, so the overall amplifier still meets its specified
maximum output and distortion levels for a 200 Ω load. This
amplifier can deliver a maximum sine wave power of +10 dBm
to the load.
–10–
REV. B
AD600/AD602
GAIN-CONTROL
VOLTAG E
V
G
– +
C1LO
1
A1HI
2
+
A1LO
3
GAT1
V
IN
GAT2
A2LO
A2HI
C2LO
4
5
6
7
8
A1
–
REF
–
A2
+
AD600 or AD602
C1HI
16
A1CM
15
A1OP
14
VPOS
13
VNEG
12
A2OP
11
A2CM
10
C2HI
9
+5V
–5V
100
100
V
50
OUT
Figure 13. An Ultralow Noise VCA Using the AD600 or
AD602
A Low Noise, 6 dB Preamplifier
In some ultrasound applications, the user may wish to use a
high input impedance preamplifier to avoid the signal attenuation that would result from loading the transducer by the 100 Ω
input resistance of the X-AMP. High gain cannot be tolerated,
because the peak transducer signal is typically ±0.5 V, while the
peak input capability of the AD600 or AD602 is only slightly
more than ±1 V. A gain of two is a suitable choice. It can be shown
that if the preamplifier’s overall referred-to-input (RTI) noise is
to be the same as that due to the X-AMP alone (1.4 nV/√Hz),
then the input noise of a X2 preamplifier must be √(3/4) times
as large, that is, 1.2 nV/√Hz.
+5V
R1
49.9
R2
174
1F
R4
42.2
V
IN
R5
42.2
1F
R7
174
R8
49.9
–5V
+5V
–5V
R3
562
R6
562
1F
Q1
MRF904
INPUT
GROUND
Q2
MM4049
1F
0.1F
0.1F
100
R
OUTPUT
GROUND
OF X AMP
IN
Figure 14. A Low Noise Preamplifier for the AD600 and
AD602
An inexpensive circuit, using complementary transistor types
chosen for their low r
, is shown in Figure 14. The gain is
bb
determined by the ratio of the net collector load resistance to
the net emitter resistance, that is, it is an open-loop amplifier.
The gain will be X2 (6 dB) only into a 100 Ω load, assumed to
be provided by the input resistance of the X-AMP; R2 and R7
are in shunt with this load, and their value is important in defining the gain. For small-signal inputs, both transistors contribute
an equal transconductance, which is rendered less sensitive to
signal level by the emitter resistors R4 and R5, which also play a
dominant role in setting the gain.
This is a Class AB amplifier. As VIN increases in a positive direction, Q1 conducts more heavily and its r
that of Q2 increases. Conversely, more negative values of V
becomes lower while
e
IN
result in the re Of Q2 decreasing, while that of Q1 increases.
The design is chosen such that the net emitter resistance is
essentially independent of the instantaneous value of V
, result-
IN
ing in moderately low distortion. Low values of resistance and
moderately high bias currents are important in achieving the low
noise, wide bandwidth, and low distortion of this preamplifier.
Heavy decoupling prevents noise on the power supply lines from
being conveyed to the input of the X-AMP.
Table I. Measured Preamplifier Performance
MeasurementValueUnit
Gain (f = 30 MHz)6dB
Bandwidth (–3 dB)250MHz
Input Signal for
Figure 15 provides an example of the ease with which the AD600
can be connected as an AGC amplifier. A1 and A2 are cascaded,
with 6 dB of attenuation introduced by the 100 Ω resistor R1,
while a time constant of 5 ns is formed by C1 and the 50 Ω of
net resistance at the input of A2. This has the dual effect of (a)
lowering the overall gain range from {0 dB to 80 dB} to {6 dB to
74 dB} and (b) introducing a single-pole low-pass filter with a
–3 dB frequency of about 32 MHz. This ensures stability at the
maximum gain for a slight reduction in the overall bandwidth.
The capacitor C4 blocks the small dc offset voltage at the output of A1 (which might otherwise saturate A2 at its maximum
gain) and introduces a high pass corner at about 8 kHz, useful
in eliminating low frequency noise and spurious signals which
may be present at the input.
REV. B
–11–
AD600/AD602
RF
INPUT
5V
R3
C1LO
A1HI
A1LO
GAT1
GAT2
A2LO
A2HI
C2LO
46.4k
R4
3.74k
1
2
+
3
–
4
5
–
6
+
7
8
AD600
A1
REF
A2
V
G
C1HI
16
A1CM
15
A1OP
14
VPOS
13
VNEG
12
A2OP
11
A2CM
10
C2HI
9
C4
0.1F
+5V DEC
–5V DEC
R1
100
100pF
C1
1F
15pF
C2
C3
AD590
806
1%
5V
300A
(at 300K)
Q1
2N3904
+
R2
V
PTAT
–
RF
OUTPUT
Figure 15. This Accurate HF AGC Amplifier Uses Just Three Active Components
+5V
FB
+5V DEC
–5V DEC
POWER SUPPLY
DECOUPLING NETWORK
0.1F
0.1F
FB
–5V
A simple half-wave detector is used, based on Q1 and R2. The
average current into capacitor C2 is just the difference between
the current provided by the AD590 (300 µA at 300 K, 27°C)
and the collector current of Q1. In turn, the control voltage V
G
is the time integral of this error current. When VG (and thus the
gain) is stable, the rectified current in Q1 must, on average, exactly
balance the current in the AD590. If the output of A2 is too
small to do this, V
will ramp up, causing the gain to increase,
G
until Q1 conducts sufficiently. The operation of this control
system will now be described in detail.
First, consider the particular case where R2 is zero and the output voltage V
is a square wave at, say, 100 kHz, that is, well
OUT
above the corner frequency of the control loop. During the time
is negative, Q1 conducts; when V
V
OUT
is positive, it is cut
OUT
off. Since the average collector current is forced to be 300 µA, and
the square wave has a 50% duty-cycle, the current when conducting must be 600 µA. With R2 omitted, the peak value of V
OUT
would be just the VBE of Q1 at 600 µA (typically about 700 mV)
or 2 V
peak-to-peak. This voltage, hence the amplitude at which
BE
the output stabilizes, has a strong negative temperature coefficient
(TC), typically –1.7 mV/°C. While this may not be troublesome
in some applications, the correct value of R2 will render the
output stable with temperature.
To understand this, first note that the current in the AD590 is
closely proportional to absolute temperature (PTAT). (In fact,
this IC is intended for use as a thermometer.) For the moment,
continue to assume that the signal is a square wave. When Q1 is
conducting, V
is the now the sum of VBE and a voltage which
OUT
is PTAT and which can be chosen to have an equal but opposite
TC to that of the base-to-emitter voltage. This is actually nothing more than the “bandgap voltage reference” principle in thinly
veiled disguise! When we choose R2 such that the sum of the
voltage across it and the V
age of about 1.2 V, V
of Q1 is close to the bandgap volt-
BE
will be stable over a wide range of
OUT
temperatures, provided, of course, that Q1 and the AD590
share the same thermal environment.
Since the average emitter current is 600 µA during each half-cycle
of the square wave, a resistor of 833 Ω would add a PTAT voltage of 500 mV at 300 K, increasing by 1.66 mV/°C. In practice,
the optimum value of R2 will depend on the transistor used, and,
to a lesser extent, on the waveform for which the temperature
stability is to be optimized; for the devices shown and sine wave
signals, the recommended value is 806 Ω. This resistor also
serves to lower the peak current in Q1 and the 200 Hz LP
filter it forms with C2 helps to minimize distortion due to ripple
Note that the output amplitude under sine wave condi-
in V
G.
tions will be higher than for a square wave, since the average
value of the current for an ideal rectifier would be 0.637 times as
large, causing the output amplitude to be 1.88 (= 1.2/0.637) V, or
1.33 V rms. In practice, the somewhat nonideal rectifier results
in the sine wave output being regulated to about 1.275 V rms.
An offset of 375 mV is applied to the inverting gain-control
inputs C1LO and C2LO. Thus the nominal –625 mV to +625 mV
range for V
is translated upwards (at VG´) to –0.25 V for mini-
G
mum gain to +1 V for maximum gain. This prevents Q1 from
going into heavy saturation at low gains and leaves sufficient
“headroom” of 4 V for the AD590 to operate correctly at high
gains when using a 5 V supply.
In fact, the 6 dB interstage attenuator means that the overall
gain of this AGC system actually runs from –6 dB to +74 dB.
Thus, an input of 2 V rms would be required to produce a 1 V
rms output at the minimum gain, which exceeds the 1 V rms
maximum input specification of the AD600. The available gain
range is therefore 0 dB to 74 dB (or, X1 to X5000). Since the
gain scaling is 15.625 mV/dB (because of the cascaded stages)
the minimum value of V
´ is actually increased by 6 × 15.625 mV,
G
or about 94 mV, to –156 mV, so the risk of saturation in Q1
is reduced.
The emitter circuit of Q1 is somewhat inductive (due its finite f
t
and base resistance). Consequently, the effective value of R2
increases with frequency. This would result in an increase in the
stabilized output amplitude at high frequencies, but for the addition of C3, determined experimentally to be 15 pF for the 2N3904
for maximum response flatness. Alternatively, a faster transistor
can be used here to reduce HF peaking. Figure 16 shows the ac
response at the stabilized output level of about 1.3 V rms. Figure 17 demonstrates the output stabilization for sine wave
inputs of 1 mV to 1 V rms at frequencies of 100 kHz, 1 MHz
and 10 MHz.
–12–
REV. B
3dB
AGC OUTPUT CHANGE – dB
0.1
1
FREQUENCY – MHz
10
100
Figure 16. AC Response at the Stabilized Output Level
of 1.3 V RMS
+0.2
0
–0.2
–0.4
RELATIVE OUTPUT – dB
0.0010.0110.1
INPUT AMPLITUDE – V RMS
100kHz
1MHz
10MHz
Figure 17. Output Stabilization vs. RMS Input for
Sine Wave Inputs at 100 kHz, 1 MHz, and 10 MHz
While the “bandgap” principle used here sets the output amplitude to 1.2 V (for the square wave case), the stabilization point
can be set to any higher amplitude, up to the maximum output
of ± (V
– 2) V which the AD600 can support. It is only neces-
S
sary to split R2 into two components of appropriate ratio whose
parallel sum remains close to the zero-TC value of 806 Ω. This
is illustrated in Figure 18, which shows how the output can be
raised, without altering the temperature stability.
5V
R2A
300A
(at 300K)
Q1
2N3904
R2B
+
R2 = R2A R2B ≈ 806
V
PTAT
–
RF
OUTPUT
TO AD600 PIN 16
TO AD600 PIN 11
1F
15pF
AD590
C2
C3
Figure 18. Modification in Detector to Raise Output to
2 V RMS
AD600/AD602
A Wide Range, RMS-Linear dB Measurement System
(2 MHz AGC Amplifier with RMS Detector)
Monolithic rms-dc converters provide an inexpensive means to
measure the rms value of a signal of arbitrary waveform, and
they also may provide a low accuracy logarithmic (“decibelscaled”) output. However, they have certain shortcomings. The
first of these is their restricted dynamic range, typically only
50 dB. More troublesome is that the bandwidth is roughly proportional to the signal level; for example, the AD636 provides a
3 dB bandwidth of 900 kHz for an input of 100 mV rms, but
has a bandwidth of only 100 kHz for a 10 mV rms input. Its
logarithmic output is unbuffered, uncalibrated and not stable
over temperature; considerable support circuitry, including at
least two adjustments and a special high TC resistor, is required
to provide a useful output.
All of these problems can be eliminated using an AD636 as
merely the detector element in an AGC loop, in which the difference between the rms output of the amplifier and a fixed dc
reference are nulled in a loop integrator. The dynamic range
and the accuracy with which the signal can be determined are
now entirely dependent on the amplifier used in the AGC system.
Since the input to the rms-dc converter is forced to a constant
amplitude, close to its maximum input capability, the bandwidth is
no longer signal dependent. If the amplifier has an exactly exponential (“linear-dB”) gain-control law, its control voltage VG is
forced by the AGC loop to be have the general form:
V
V
OUT=VSCALE
log 10
Figure 19 shows a practical wide dynamic range rms-responding
measurement system using the AD600. Note that the signal
output of this system is available at A2OP, and the circuit can
be used as a wideband AGC amplifier with an rms-responding
detector. This circuit can handle inputs from 100 µV to 1 V rms
with a constant measurement bandwidth of 20 Hz to 2 MHz,
limited primarily by the AD636 rms converter. Its logarithmic
output is a loadable voltage, accurately calibrated to 100 mV/dB,
or 2 V per decade, which simplifies the interpretation of the
reading when using a DVM, and is arranged to be –4 V for an
input of 100 µV rms input, zero for 10 mV, and +4 V for a
1 V rms input. In terms of Equation 4, V
V
is 2 V.
SCALE
Note that the peak “log output” of ± 4 V requires the use of
±6 V supplies for the dual op amp U3 (AD712) although lower
supplies would suffice for the AD600 and AD636. If only ±5 V
supplies are available, it will be either necessary to use a reduced
value for V
(say 1 V, in which case the peak output would
SCALE
be only ±2 V) or restrict the dynamic range of the signal to
about 60 dB.
As in the previous case, the two amplifiers of the AD600 are
used in cascade. However, the 6 dB attenuator and low-pass
filter found in Figure 1 are replaced by a unity gain buffer
amplifier U3A, whose 4 MHz bandwidth eliminates the risk of
instability at the highest gains. The buffer also allows the use of
a high impedance coupling network (C1/R3) which introduces a
high-pass corner at about 12 Hz. An input attenuator of 10 dB
(X0.316) is now provided by R1 + R2 operating in conjunction
with the AD600’s input resistance of 100 Ω. The adjustment
provides exact calibration of the logarithmic intercept V
critical applications, but R1 and R2 may be replaced by a fixed
IN (RMS )
V
REF
is 10 mV and
REF
REF
(4)
in
REV. B
–13–
AD600/AD602
INPUT
1V RMS
MAX
(SINE WAVE)
R1
115
R2 200
U3A
1/2
AD712
15.625mV/dB
Figure 19. The Output of This Three-IC Circuit Is Proportional to the Decibel Value of the RMS Input
CAL
0dB
133k
V
G
V
RMS
C2
2F
–6V
DEC
AF/RF
OUTPUT
NC
NC
NC
C4
4.7F
1
2
3
4
5
6
7
NC = NO CONNECT
VINP
VNEG
CAVG
VLOG
BFOP
BFIN
U2
AD636
COMM
VPOS
LDLO
V
RMS
14
13
12
11
10
9
8
1/2
AD712
NC
NC
NC
R7
56.2k
R6
3.16k
U3B
C3
1F
+100mV/dB
0V = 0dB(AT 10mV RMS)
+6V DEC
+316.2mV
+6V
FB
+6V
DEC
–6V
DEC
FB
–6V
POWER SUPPLY
DECOUPLING
NETWORK
V
OUT
0.1F
0.1F
C1
0.1F
C1LO
1
A1HI
2
+
A1LO
3
GAT1
4
GAT2
R3
R4
3.01k
A2LO
A2HI
C2LO
5
6
7
8
–
–
+
U1 AD600
R5
16.2k
A1
REF
A2
C1HI
16
A1CM
15
A1OP
14
VPOS
VNEG
A2OP
A2CM
C2HI
+6V
DEC
–6V
DEC
13
12
11
10
9
resistor of 215 Ω if very close calibration is not needed, since the
input resistance of the AD600 (and all other key parameters of it
and the AD636) are already laser trimmed for accurate operation.
This attenuator allows inputs as large as ±4 V to be accepted,
that is, signals with an rms value of 1 V combined with a crest
factor of up to 4.
The output of A2 is ac coupled via another 12 Hz high-pass
filter formed by C2 and the 6.7 kΩ input resistance of the
AD636. The averaging time constant for the rms-dc converter is
determined by C4. The unbuffered output of the AD636 (at Pin
8) is compared with a fixed voltage of 316 mV set by the positive supply voltage of 6 V and resistors R6 and R7. (V
REF
is
proportional to this voltage, and systems requiring greater calibration accuracy should replace the supply dependent reference
with a more stable source.)
Any difference in these voltages is integrated by the op amp
U3B, with a time constant of 3 ms formed by the parallel sum of
R6/R7 and C3. Now, if the output of the AD600 is too high, V
rms will be greater than the “setpoint” of 316 mV, causing the
output of U3B—that is, V
grator is noninverting). A fraction of V
—to ramp up (note that the inte-
OUT
is connected to the
OUT
inverting gain-control inputs of the AD600, so causing the gain
to be reduced, as required, until V rms is exactly equal to 316 mV,
at which time the ac voltage at the output of A2 is forced to be
exactly 316 mV rms. This fraction is set by R4 and R5 such
that a 15.625 mV change in the control voltages of A1 and
A2—which would change the gain of the cascaded amplifiers by
1 dB—requires a change of 100 mV at V
. Notice here that
OUT
since A2 is forced to operate at an output level well below its
capacity, waveforms of high crest factor can be tolerated throughout the amplifier.
To check the operation, assume an input of 10 mV rms is
applied to the input, which results in a voltage of 3.16 mV rms
at the input to A1, due to the 10 dB loss in the attenuator. If the
system operates as claimed, V
(and hence VG) should be
OUT
zero. This being the case, the gain of both A1 and A2 will be
20 dB and the output of the AD600 will therefore be 100 times
(40 dB) greater than its input, which evaluates to 316 mV rms,
the input required at the AD636 to balance the loop. Finally,
note that unlike most AGC circuits, needing strong temperature
compensation for the internal “kT/q” scaling, these voltages,
and thus the output of this measurement system, are temperature stable, arising directly from the fundamental and exact
exponential attenuation of the ladder networks in the AD600.
Typical results are presented for a sine wave input at 100 kHz.
Figure 20 shows that the output is held very close to the setpoint of 316 mV rms over an input range in excess of 80 dB.
450
425
400
375
350
325
– mV
300
OUT
275
V
250
225
200
175
150
10V100V10V1V100mV10mV1mV
INPUT SIGNAL – V RMS
Figure 20. The RMS Output of A2 Is Held Close to the
“Setpoint” 316 mV for an Input Range of Over 80 dB
(This system can, of course, be used as an AGC amplifier, in
which the rms value of the input is leveled.) Figure 21 shows
the “decibel” output voltage. More revealing is Figure 22, which
shows that the deviation from the ideal output predicted by
Equation 1 over the input range 80 µV to 500 mV rms is within±0.5 dB, and within ±1 dB for the 80 dB range from 80 µV to
800 mV. By suitable choice of the input attenuator R1 + R2,
this could be centered to cover any range from 25 mV to 250 mV
to, say, 1 mV to 10 V, with appropriate correction to the value
of V
REF
. (Note that V
is not affected by the changes in the
SCALE
–14–
REV. B
AD600/AD602
range.) The gain ripple of ±0.2 dB seen in this curve is the result of
the finite interpolation error of the X-AMP. Note that it occurs
with a periodicity of 12 dB—twice the separation between the
tap points (because of the two cascaded stages).
5
4
3
2
1
– Volts
0
OUT
V
–1
–2
–3
–4
–5
10V100V10V1V100mV10mV1mV
INPUT SIGNAL – V RMS
Figure 21. The dB Output of Figure 19’s Circuit Is Linear
Over an 80 dB Range
2.5
2.0
1.5
1.0
0.5
0
–0.5
–1.0
OUTPUT ERROR – dB
–1.5
–2.0
–2.5
10V100V10V1V100mV10mV1mV
INPUT SIGNAL – V RMS
Figure 22. Data from Figure 20 Presented as the Deviation
from the Ideal Output Given in Equation 4
This ripple can be canceled whenever the X-AMP stages are
cascaded by introducing a 3 dB offset between the two pairs
of control voltages. A simple means to achieve this is shown
in Figure 23: the voltages at C1HI and C2HI are “split” by
±46.875 mV, or ±1.5 dB. Alternatively, either one of these pins
can be individually offset by 3 dB and a 1.5 dB gain adjustment
made at the input attenuator (R1 + R2).
C1HI
U1
AD600
NC = NO CONNECT
16
15
14
13
12
11
10
–6V
DEC
9
A1CM
A1OP
VPOS
VNEG
A2OP
A2CM
C2HI
10k
+6V DEC
–6V DEC
–46.875mV
78.7 78.7
–6V DEC
C2
2F
+46.875mV
+6V
DEC
10k
3dB OFFSET
MODIFICATION
NC
NC
NC
1
2
3
4
5
6
7
VINP
VNEG
CAVG
VLOG
BFOP
BFIN
U2
AD636
Figure 23. Reducing the Gain Error Ripple
The error curve shown in Figure 24 demonstrates that over the
central portion of the range the output voltage can be maintained
very close to the ideal value. The penalty for this modification is
the higher errors at the extremities of the range. The next two
applications show how three amplifier sections can be cascaded
to extend the nominal conversion range to 120 dB, with the
inclusion of simple LP filters of the type shown in Figure 15.
Very low errors can then be maintained over a 100 dB range.
2.5
2.0
1.5
1.0
0.5
0
–0.5
–1.0
OUTPUT ERROR – dB
–1.5
–2.0
–2.5
10V100V10V1V100mV10mV1mV
INPUT SIGNAL – V RMS
Figure 24. Using the 3 dB Offset Network, the Ripple
Is Reduced
100 dB to 120 dB RMS Responding Constant Bandwidth AGC
Systems with High Accuracy dB Outputs
The next two applications double as both AGC amplifiers and
measurement systems. In both, precise gain offsets are used to
achieve either (1) a very high gain linearity of ±0.1 dB over
the full 100 dB range, or (2) the optimal signal-to-noise ratio
at any gain.
REV. B
–15–
AD600/AD602
INPUT
1V RMS
MAX
(SINE WAVE)
R13
3.01k
C1LO
A1HI
A1LO
GAT1
GAT2
A2LO
A2HI
C2LO
1
2
+
3
–
4
5
–
6
+
7
8
U1 AD600
+5V
FB
+5V
DEC
–5V
DEC
FB
–5V
POWER SUPPLY
DECOUPLING
NETWORK
Q1
2N3906
11.3k
A1
A2
0.1F
0.1F
R14
301k
R12
REF
16
15
14
13
12
11
10
9
+5V DEC
C1HI
A1CM
A1OP
VPOS
VNEG
A2OP
A2CM
C2HI
–5V
10k
R15
19.6k
R16
6.65k
+5V
DEC
–5V
DEC
R6
C1
0.1F
R1
133k
C2
0.1F
R4
133k
–2dB
–62.5mV
R7
127
U3A
1/4
AD713
R5
1.58k
C3
220pF
0dB
R8
127R910k
R2
487
U3B
+2dB
+62.5mV
NC
–5V
DEC
NC
NC
R3
200
1/4
AD713
+5V
1
2
3
4
5
6
7
VINP
VNEG
CAVG
VLOG
BFOP
BFIN
C5
22F
U4
AD636
COMM
C1LO
A1HI
A1LO
GAT1
GAT2
A2LO
A2HI
C2LO
VPOS
LDLO
V
RMS
1
2
+
3
–
4
5
–
6
+
7
8
U2 AD600
14
NC
13
12
NC
11
NC
10
9
8
A1
REF
A2
R10
3.16k
+316.2mV
NC = NO CONNECT
16
15
14
13
12
11
10
9
R11
46.4k
C6
4.7F
U3C
AD713
C1HI
A1CM
A1OP
VPOS
VNEG
A2OP
A2CM
C2HI
+5V DEC
1/4
C4
2F
+5V
DEC
–5V
DEC
V
OUT
V
LOG
Figure 25. RMS Responding AGC Circuit with 100 dB Dynamic Range
A 100 dB RMS/AGC System with Minimal Gain Error
(Parallel Gain with Offset)
Figure 25 shows an rms-responding AGC circuit, which can
equally well be used as an accurate measurement system. It
accepts inputs of 10 µV to 1 V rms (–100 dBV to 0 dBV) with
generous overrange. Figure 26 shows the logarithmic output, V
LOG
,
which is accurately scaled 1 V per decade, that is, 50 mV/dB, with
an intercept (V
= 0) at 3.16 mV rms (–50 dBV). Gain offsets
LOG
of ±2 dB have been introduced between the amplifiers, provided
by the ±62.5 mV introduced by R6–R9. These offsets cancel a
small gain ripple which arises in the X-AMP from its finite interpolation error, which has a period of 18 dB in the individual VCA
sections. The gain ripple of all three amplifier sections without
this offset (in which case the gain errors simply add) is shown in
Figure 27; it is still a remarkably low ±0.25 dB over the 108 dB
range from 6 µV to 1.5 V rms. However, with the gain offsets
connected, the gain linearity remains under ±0.1 dB over the
specified 100 dB range (Figure 28).
5
4
3
2
1
0
–1
–2
LOGARITHMIC OUTPUT – Volts
–3
–4
–5
1V10V10V1V100mV10mV1mV100V
Figure 26. V
LOG
INPUT SIGNAL – V RMS
Plotted vs. VIN for Figure 25‘s Circuit
Showing 120 dB AGC Range
–16–
REV. B
AD600/AD602
2.0
1.5
1.0
0.5
0.1
0
–0.1
–0.5
GAIN ERROR – dB
–1.0
–1.5
–2.0
1V10V10V1V100mV10mV1mV100V
INPUT SIGNAL – V RMS
Figure 27. Gain Error for Figure 25 Without the 2 dB
Offset Modification
2.0
1.5
1.0
0.5
0.1
0
–0.1
–0.5
GAIN ERROR – dB
–1.0
–1.5
–2.0
1V10V10V1V100mV10mV1mV100V
INPUT SIGNAL – V RMS
Figure 28. Adding the 2 dB Offsets Improves the
Linearization
The maximum gain of this circuit is 120 dB. If no filtering were
used, the noise spectral density of the AD600 (1.4 nV/√Hz)
would amount to an input noise of 8.28 µV rms in the full band-
width (35 MHz). At a gain of one million, the output noise
would dominate. Consequently, some reduction of bandwidth is
mandatory, and in the circuit of Figure 25 it is due mostly to
a single-pole low-pass filter R5/C3, which provides a –3 dB
frequency of 458 kHz, which reduces the worst-case output
noise (at V
) to about 100 mV rms at a gain of 100 dB. Of
AGC
course, the bandwidth (and hence output noise) could be easily
reduced further, for example, in audio applications, merely by
increasing C3. The value chosen for this application is optimal
in minimizing the error in the V
output for small input signals.
LOG
The AD600 is dc-coupled, but even miniscule offset voltages at
the input would overload the output at high gains, so high-pass
filtering is also needed. To provide operation at low frequencies,
two simple zeros at about 12 Hz are provided by R1/C1 and
R4/C2; op amp sections U3A and U3B (AD713) are used to
provide impedance buffering, since the input resistance of the
AD600 is only 100 Ω. A further zero at 12 Hz is provided by C4
and the 6.7 kΩ input resistance of the AD636 rms converter.
The rms value of V
is generated at Pin 8 of the AD636; the
LOG
averaging time for this process is determined by C5, and the
value shown results in less than 1% rms error at 20 Hz. The
slowly varying V rms is compared with a fixed reference of
316 mV, derived from the positive supply by R10/R11. Any
difference between these two voltages is integrated in C6, in
conjunction with op amp U3C, the output of which is V
LOG
. A
fraction of this voltage, determined by R12 and R13, is returned
to the gain control inputs of all AD600 sections. An increase in
lowers the gain, because this voltage is connected to the
V
LOG
inverting polarity control inputs.
Now, in this case, the gains of all three VCA sections are being
varied simultaneously, so the scaling is not 32 dB/V but 96 dB/V,
or 10.42 mV/dB. The fraction of V
required to set its scaling
LOG
to 50 mV/dB is therefore 10.42/50, or 0.208. The resulting fullscale range of V
is nominally ±2.5 V. This scaling was chosen
LOG
to allow the circuit to operate from ±5 V supplies. Optionally,
the scaling could be altered to 100 mV/dB, which would be
more easily interpreted when V
is displayed on a DVM, by
LOG
increasing R12 to 25.5 kΩ. The full-scale output of ±5 V then
requires the use of supply voltages of at least ±7.5 V.
A simple attenuator of 16.6 ± 1.25 dB is formed by R2/R3 and
the 100 Ω input resistance of the AD600. This allows the reference level of the decibel output to be precisely set to zero for an
input of 3.16 mV rms, and thus center the 100 dB range between
10 µV and 1 V. In many applications R2/R3 may be replaced
by a fixed resistor of 590 Ω. For example, in AGC applications, neither the slope nor the intercept of the logarithmic output
is important.
A few additional components (R14–R16 and Q1) improve the
accuracy of V
at the top end of the signal range (that is, for
LOG
small gains). The gain starts rolling off when the input to the
first amplifier, U1A, reaches 0 dB. To compensate for this nonlinearity, Q1 turns on at V
~ +1.5 V and increases the feedback
LOG
to the control inputs of the AD600s, thereby needing a smaller
voltage at V
to maintain the input to the AD636 to the set-
LOG
point of 316 mV rms.
A 120 dB RMS/AGC System with Optimal S/N Ratio
(Sequential Gain)
In the last case, all gains were adjusted simultaneously, resulting
in an output signal-to-noise ratio (S/N ratio) which is always less
than optimal. The use of sequential gain control results in a
major improvement in S/N ratio, with only a slight penalty in
the accuracy of V
of V
. The idea is simply to increase the gain of the earlier
AGC
, and no penalty in the stabilization accuracy
LOG
stages first (as the signal level decreases) and thus maintain the
highest S/N ratio throughout the amplifier chain. This can be
easily achieved with the AD600 because its gain is accurate even
when the control input is overdriven; that is, each gain control “window” of 1.25 V is used fully before moving to the
next amplifier to the right.
Figure 29 shows the circuit for the sequential control scheme.
R6 to R9 with R16 provide offsets of 42.14 dB between the
individual amplifiers to ensure smooth transitions between the
gain of each successive X-AMP, with the sequence of gain
increase being U1A first, then U1B, and lastly U2A. The adjustable attenuator provided by R3 + R17 and the 100 Ω input
resistance of U1A as well as the fixed 6 dB attenuation provided
by R2 and the input resistance of U1B are included both to set
to read 0 dB when VIN is 3.16 mV rms and to center the
V
LOG
100 dB range between 10 µV rms and 1 V rms input. R5 and
C3 provide a 3 dB noise bandwidth of 30 kHz. R12 to R15
REV. B
–17–
AD600/AD602
0dB
ADJUST
R3
R17
115
200
INPUT
C1LO
A1HI
A1LO
GAT1
GAT2
A2LO
A2HI
C2LO
1
2
+
3
–
4
5
–
6
+
7
8
A1
REF
A2
U1 AD600
C1HI
16
A1CM
15
A1OP
14
VPOS
13
VNEG
12
A2OP
11
A2CM
10
C2HI
9
+6V
DEC
–6V
DEC
C1
0.1F
133k
C2
0.1F
133k
R1
R4
R5
5.36k
0.001F
U3A
1/4
AD713
C3
R2
100
U3B
1/4
AD713
C1LO
A1HI
A1LO
GAT1
GAT2
A2LO
A2HI
C2LO
1
2
+
3
–
4
5
–
6
+
7
8
A1
REF
A2
U2 AD600
C1HI
16
A1CM
15
14
VPOS
13
12
A2OP
11
A2CM
10
C2HI
9
A1OP
VNEG
C4
2F
+5V
DEC
–5V
DEC
V
OUT
R6
R7
1k
R8
294
+6V
FB
+6V
DEC
–6V
DEC
FB
–6V
POWER SUPPLY
DECOUPLING
NETWORK
0.1F
0.1F
+6V DEC
R15
5.11k
R14
7.32k
+5V
R13
866
3.4k
R12
1k
Figure 29. 120 dB Dynamic Range RMS Responding Circuit Optimized for S/N Ratio
change the scaling from 625 mV/decade at the control inputs to
1 V/decade at the output and at the same time center the dynamic
range at 60 dB, which occurs if the V
These arrangements ensure that the V
of U1B is equal to zero.
G
will still fit within the
LOG
±6 V supplies.
5
4
3
2
1
0
–1
–2
–3
LOGARITHMIC OUTPUT – Volts
–4
–5
1V10V10V1V100mV10mV1mV100V
Figure 30. V
Is Essentially Linear Over the Full 120 dB
LOG
INPUT SIGNAL – V RMS
Range
R9
R16
1k
287
C5
22F
–6V
DEC
NC
NC
NC
1
2
3
4
5
6
7
VINP
VNEG
CAVG
VLOG
BFOP
BFIN
U4
AD636
COMM
VPOS
LDLO
V
Figure 30 shows V
14
NC
13
12
NC
11
NC
R10
3.16k
10
9
8
RMS
+316.2mV
NC = NO CONNECT
to be linear over a full 120 dB range.
LOG
R11
56.2k
C6
4.7F
U3C
AD713
+6V DEC
1/4
V
LOG
Figure 31 shows the error ripple due to the individual gain functions which is bounded by ±0.2 dB (dotted lines) from 6 µV to 2 V.
The small perturbations at about 200 µV and 20 mV, caused
by the impracticality of matching the gain functions perfectly,
are the only sign that the gains are now sequential. Figure 32 is
a plot of V
which remains very close to its set value of 316 mV
AGC
rms over the full 120 dB range.
To more directly compare the signal-to-noise ratios in the
“simultaneous” and “sequential” modes of operation, all interstage attenuation was eliminated (R2 and R3 in Figure 25, R2
in Figure 29), the input of U1A was shorted, R5 was selected to
provide a 20 kHz bandwidth (R5 = 7.87 kΩ), and only the gain
control was varied, using an external source. The rms value of
the noise was then measured at V
and expressed as an S/N
OUT
ratio relative to 0 dBV, this being almost the maximum output
capability of the AD600. Results for the simultaneous mode can
be seen in Figure 33. The S/ N ratio degrades uniformly as the
gain is increased. Note that since the inverting gain control was
used, the gain in this curve and in Figure 34 decreases for more
positive values of the gain-control voltage.
–18–
REV. B
AD600/AD602
2.0
1.5
1.0
0.5
0.2
0
–0.2
–0.5
GAIN ERROR – dB
–1.0
–1.5
–2.0
1V10V10V1V100mV10mV1mV100V
INPUT SIGNAL – V RMS
Figure 31. The Error Ripple Due to the Individual Gain
Functions
400
350
300
GAIN ERROR – mV
250
200
1V10V10V1V100mV10mV1mV100V
Figure 32. V
INPUT SIGNAL – V RMS
Remains Nose to Its Setpoint of
AGC
316 mV RMS Over the Full 120 dB Range
90
80
70
60
50
40
S/N RATIO – dB
30
20
10
0
–625.0–833.2
CONTROL VOLTAGE, V
(10.417mV/dB) – mV
C
833.2
625.0416.6208.30–208.3–416.6
Figure 33. S/N Ratio vs. Control Voltage for Parallel Gain
Control (Figure 25)
In contrast, the S/N ratio for the sequential mode is shown in
Figure 34. U1A always acts as a fixed noise source; varying its
gain has no influence on the output noise. (This is a feature of
the X-AMP technique.) Thus, for the first 40 dB of control
range (actually slightly more, as explained below), when only
this VCA section has its gain varied, the S/N ratio remains constant. During this time, the gains of U1B and U2A are at their
minimum value of –1.07 dB.
90
80
70
60
50
40
S/N RATIO – dB
30
20
10
0
–0.558–1.183
CONTROL VOLTAGE, VC (31.25mV/dB) – Volts
3.817
3.1922.5671.9421.3170.6920.067
Figure 34. S/N Ratio vs. Control Voltage for Sequential
Gain Control (Figure 29)
For the next 40 dB of control range, the gain of U1A remains
fixed at its maximum value of 41.07 dB and only the gain of
U1B is varied, while that of U2A remains at its minimum value
of –1.07 dB. In this interval, the fixed output noise of U1A is
amplified by the increasing gain of U1B and the S/N ratio progressively decreases.
Once U1B reaches its maximum gain of 41.07 dB, its output
also becomes a gain independent noise source; this noise is
presented to U2A. As the control voltage is further increased,
the gains of both U1A and U1B remain fixed at their maximum
value of 41.07 dB, and the S/N ratio continues to decrease.
Figure 34 clearly shows this, because the maximum S/N ratio
of 90 dB is extended for the first 40 dB of input signal before it
starts to roll off.
This arrangement of staggered gains can be easily implemented
because, when the control inputs of the AD600 are overdriven,
the gain limits to its maximum or minimum values without side
effects. This eliminates the need for awkward nonlinear shaping
circuits that have previously been used to break up the gain
range of multistage AGC amplifiers. It is the precise values of the
AD600’s maximum and minimum gain (not 0 dB and 40 dB
but –1.07 dB and +41.07 dB) that explain the rather odd values
of the offset values that are used.
The optimization of the output S/N ratio is of obvious value in
AGC systems. However, in applications where these circuit are
considered for their wide range logarithmic measurements capabilities, the inevitable degradation of the S/N ratio at high gains
need not seriously impair their utility. In fact, the bandwidth of
the circuit shown in Figure 25 was specifically chosen so as to
improve measurement accuracy by altering the shape of the log
error curve (Figure 31) at low signal levels.