AD605ARZ-RL7 [ADI]

Dual, Low Noise, Single-Supply Variable Gain Amplifier; 双通道,低噪声,单电源可变增益放大器
AD605ARZ-RL7
型号: AD605ARZ-RL7
厂家: ADI    ADI
描述:

Dual, Low Noise, Single-Supply Variable Gain Amplifier
双通道,低噪声,单电源可变增益放大器

模拟IC 信号电路 放大器 光电二极管
文件: 总20页 (文件大小:377K)
中文:  中文翻译
下载:  下载PDF数据表文档文件
Dual, Low Noise, Single-Supply  
Variable Gain Amplifier  
AD605  
FUNCTIONAL BLOCK DIAGRAM  
FEATURES  
2 independent linear-in-dB channels  
Input noise at maximum gain: 1.8 nV/√Hz, 2.7 pA/√Hz  
Bandwidth: 40 MHz (–3 dB)  
FIXED GAIN  
AMPLIFIER  
+34.4dB  
PRECISION PASSIVE  
INPUT ATTENUATOR  
VGN  
GAIN  
CONTROL  
AND  
OUT  
FBK  
Differential input  
SCALING  
VREF  
Absolute gain range programmable  
–14 dB to +34 dB (FBK shorted to OUT) through  
0 dB to 48 dB (FBK open)  
VOCM  
Variable gain scaling: 20 dB/V through 40 dB/V  
Stable gain with temperature and supply variations  
Single-ended unipolar gain control  
Output common mode independently set  
Power shutdown at lower end of gain control  
Single 5 V supply  
+IN  
–IN  
DIFFERENTIAL  
ATTENUATOR  
0 TO –48.4dB  
AD605  
Figure 1.  
Low power: 90 mW/channel  
Drives ADCs directly  
APPLICATIONS  
Ultrasound and sonar time-gain controls  
High performance AGC systems  
Signal measurement  
GENERAL DESCRIPTION  
The AD605 is a low noise, accurate, dual channel, linear-in-dB  
variable gain amplifier, optimized for any application requiring  
high performance, wide bandwidth variable gain control.  
Operating from a single 5 V supply, the AD605 provides  
differential inputs and unipolar gain control for ease of use.  
Added flexibility is achieved with a user-determined gain range  
and an external reference input that provides user-determined  
gain scaling (dB/V).  
Each independent channel of the AD605 provides a gain range  
of 48 dB that can be optimized for the application. Gain ranges  
between −14 dB to +34 dB and 0 dB to +48 dB can be selected  
by a single resistor between Pin FBK and Pin OUT. The lower  
and upper gain ranges are determined by shorting Pin FBK to  
Pin OUT, or leaving Pin FBK unconnected, respectively. The  
two channels of the AD605 can be cascaded to provide 96 dB of  
very accurate gain range in a monolithic package.  
The high performance linear-in-dB response of the AD605 is  
achieved with the differential input, single-supply, exponential  
amplifier (DSX-AMP) architecture. Each of the DSX-AMPs  
comprise a variable attenuator of 0 dB to −48.4 dB followed by a  
high speed fixed gain amplifier. The attenuator is based on a  
7-stage R-1.5R ladder network. The attenuation between tap  
points is 6.908 dB, and 48.360 dB for the entire ladder network.  
The DSX-AMP architecture results in 1.8 nV/√Hz input noise  
spectral density and accepts a 2.0 V input signal when VOCM  
is biased at VP/2.  
The gain control interface provides an input resistance of  
approximately 2 MΩ and scale factors from 20 dB/V to 30 dB/V  
for a VREF input voltage of 2.5 V to 1.67 V, respectively. Note  
that scale factors up to 40 dB/V are achievable with reduced  
accuracy for scales above 30 dB/V. The gain scales linearly in dB  
with control voltages (VGN) of 0.4 V to 2.4 V for the 20 dB/V  
scale and 0.20 V to 1.20 V for the 40 dB/V scale. When VGN is  
<50 mV, the amplifier is powered down to draw 1.9 mA. Under  
normal operation, the quiescent supply current of each  
amplifier channel is only 18 mA.  
The AD605 is available in 16-lead PDIP and 16-lead SOIC_N  
and is guaranteed for operation over the −40°C to +85°C  
temperature range.  
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 registeredtrademarks arethe property of their respective owners.  
One Technology Way, P.O. Box 9106, Norwood, MA 02062-9106, U.S.A.  
Tel: 781.329.4700  
Fax: 781.461.3113  
www.analog.com  
©2006 Analog Devices, Inc. All rights reserved.  
 
AD605  
TABLE OF CONTENTS  
Features .............................................................................................. 1  
Theory of Operation ...................................................................... 13  
Differential Ladder (Attenuator).............................................. 14  
AC Coupling ............................................................................... 14  
Gain Control Interface............................................................... 14  
Active Feedback Amplifier (Fixed Gain Amp) ...................... 15  
Applications..................................................................................... 16  
Connecting Two Amplifiers to Double the Gain Range....... 16  
Outline Dimensions....................................................................... 18  
Ordering Guide .......................................................................... 19  
Applications....................................................................................... 1  
Functional Block Diagram .............................................................. 1  
General Description......................................................................... 1  
Revision History ............................................................................... 2  
Specifications..................................................................................... 3  
Absolute Maximum Ratings............................................................ 5  
ESD Caution.................................................................................. 5  
Pin Configuration and Function Descriptions............................. 6  
Typical Performance Characteristics (per Channel) ................... 7  
REVISION HISTORY  
1/06—Rev. C to Rev. D  
Updated Format..................................................................Universal  
Changes to Table 2............................................................................ 5  
Changes to the Differential Ladder (Attenuator) Section......... 14  
Updated the Outline Dimensions ................................................ 18  
Changes to the Ordering Guide.................................................... 19  
7/04—Rev. B to Rev. C  
Edits to General Description........................................................... 1  
Edits to Specifications ...................................................................... 2  
Edits to Ordering Guide .................................................................. 3  
Change to TPC 22............................................................................. 6  
Updated Outline Dimensions....................................................... 12  
Rev. D | Page 2 of 20  
 
AD605  
SPECIFICATIONS  
Each channel @ TA = 25°C, VS = 5 V, RS = 50 Ω, RL = 500 Ω, CL = 5 pF, VREF = 2.5 V (scaling = 20 dB/V), −14 dB to +34 dB gain range,  
unless otherwise noted.  
Table 1.  
AD605A  
Min Typ  
AD605B  
Max Min Typ  
Parameter  
Conditions  
Max Unit  
INPUT CHARACTERISTICS  
Input Resistance  
Input Capacitance  
Peak Input Voltage  
Input Voltage Noise  
Input Current Noise  
Noise Figure  
175 ꢀ0  
3.0  
2.5 2.5  
1.8  
2.7  
8.ꢀ  
175 ꢀ0  
3.0  
2.5 2.5  
1.8  
2.7  
8.ꢀ  
Ω
pF  
V
nV/√Hz  
pA/√Hz  
dB  
At minimum gain  
VGN = 2.9 V  
VGN = 2.9 V  
RS = 50 Ω, f = 10 MHz, VGN = 2.9 V  
RS = 200 Ω, f = 10 MHz, VGN = 2.9 V  
12  
12  
dB  
Common-Mode Rejection Ratio f = 1 MHz, VGN = 2.65 V  
OUTPUT CHARACTERISTICS  
−20  
−20  
dB  
−3 dB Bandwidth  
Slew Rate  
Constant with gain  
VGN = 1.5 V, Output = 1 V step  
RL ≥ 500 Ω  
ꢀ0  
170  
2.5 1.5  
2
ꢀ0  
170  
2.5 1.5  
2
MHz  
V/μs  
V
Ω
mA  
Output Signal Range  
Output Impedance  
Output Short-Circuit Current  
Harmonic Distortion  
HD2  
HD3  
HD2  
HD3  
f = 10 MHz  
ꢀ0  
ꢀ0  
VGN = 1 V, VOUT = 1 V p-p  
f = 1 MHz  
f = 1 MHz  
f = 10 MHz  
f = 10 MHz  
−6ꢀ  
−68  
−51  
−53  
−6ꢀ  
−68  
−51  
−53  
dBc  
dBc  
dBc  
dBc  
Two-Tone Intermodulation  
Distortion (IMD)  
RS = 0 Ω, VGN = 2.9 V, VOUT = 1 V p-p  
f = 1 MHz  
f = 10 MHz  
f = 10 MHz, VGN = 2.9 V, output referred  
f = 10 MHz, VGN = 2.9 V,  
−72  
−60  
+15  
−1  
−72  
−60  
+15  
−1  
dBc  
dBc  
dBm  
dBm  
1 dB Compression Point  
Third-Order Intercept  
VOUT = 1 V p-p, input referred  
Channel-to-Channel Crosstalk  
Ch1: VGN = 2.65 V, inputs shorted,  
Ch2: VGN = 1.5 V (mid gain),  
f = 1 MHz, VOUT = 1 V p-p  
−70  
−70  
dB  
Group Delay Variation  
VOCM Input Resistance  
ACCURACY  
1 MHz < f < 10 MHz, full gain range  
2.0  
ꢀ5  
2.0  
ꢀ5  
ns  
kΩ  
Absolute Gain Error  
−1ꢀ dB to −11 dB  
−11 dB to +29 dB  
0.25 V < VGN < 0.ꢀ0 V  
0.ꢀ0 V < VGN < 2.ꢀ0 V  
2.ꢀ0 V < VGN < 2.65 V  
0.ꢀ V < VGN < 2.ꢀ V  
VREF = 2.500 V, VOCM = 2.500 V  
VREF = 2.500 V, VOCM = 2.500 V  
−1.2 +1.0  
−1.0 0.3  
−3.5 −1.25  
0.25  
+3.0 –1.2 +0.75  
+1.0 –1.0 0.2  
+1.2 –3.5 −1.25  
0.25  
+3.0 dB  
+1.0 dB  
+1.2 dB  
dB/V  
+50 mV  
50 mV  
+29 dB to +3ꢀ dB  
Gain Scaling Error  
Output Offset Voltage  
Output Offset Variation  
−50  
30  
30  
+50 –50  
95  
30  
30  
Rev. D | Page 3 of 20  
 
AD605  
AD605A  
Min Typ  
AD605B  
Max Min Typ  
Parameter  
Conditions  
Max Unit  
GAIN CONTROL INTERFACE  
Gain Scaling Factor  
VREF = 2.5 V, 0.ꢀ V < VGN < 2.ꢀ V  
VREF = 1.67 V  
FBK short to OUT  
FBK open  
19  
20  
30  
21  
19  
20  
30  
21  
dB/V  
dB/V  
dB  
dB  
V
Gain Range  
−1ꢀ to +3ꢀ  
0 to ꢀ8  
0.1 to 2.9  
−0.ꢀ  
−1ꢀ to +3ꢀ  
0 to ꢀ8  
0.1 to 2.9  
−0.ꢀ  
Input Voltage (VGN) Range  
Input Bias Current  
20 dB/V, VREF = 2.5 V  
ꢁA  
Input Resistance  
Response Time  
2
0.2  
2
0.2  
MΩ  
ꢁs  
ꢀ8 dB gain change  
POWER SUPPLY  
Supply Voltage  
Power Dissipation  
ꢀ.5  
5.0  
90  
10  
5.5  
ꢀ.5  
5.0  
90  
10  
5.5  
V
mW  
kΩ  
mA  
mA  
ꢁs  
VREF Input Resistance  
Quiescent Supply Current  
Power Down  
Power-Up Response Time  
Power-Down Response Time  
VPOS  
18  
23  
3.0  
18  
23  
3.0  
VPOS, VGN < 50 mV  
ꢀ8 dB gain, VOUT = 2 V p-p  
1.9  
0.6  
0.ꢀ  
1.9  
0.6  
0.ꢀ  
ꢁs  
Rev. D | Page ꢀ of 20  
AD605  
ABSOLUTE MAXIMUM RATINGS  
Table 2.  
Parameter  
Supply Voltage +VS  
Pin 12, Pin 13 (with Pin ꢀ, Pin 5 = 0 V)  
Input Voltage Pin 1 to Pin 3, Pin 6 to Pin 9, Pin 16  
Internal Power Dissipation  
16-Lead PDIP  
Stresses above those listed under Absolute Maximum Ratings  
Rating  
may 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 may affect  
device reliability.  
6.5 V  
VPOS, 0  
1.ꢀ W  
1.2 W  
16-Lead SOIC_N  
Operating Temperature Range  
Storage Temperature Range  
Lead Temperature, Soldering 60 sec  
Thermal Resistance θJA  
16-Lead PDIP  
−ꢀ0°C to +85°C  
−65°C to +150°C  
300°C  
85°C/W  
16-Lead SOIC_N  
100°C/W  
ESD CAUTION  
ESD (electrostatic discharge) sensitive device. Electrostatic charges as high as ꢀ000 V readily accumulate on  
the human body and test equipment and can discharge without detection. Although this product 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. D | Page 5 of 20  
 
AD605  
PIN CONFIGURATION AND FUNCTION DESCRIPTIONS  
VGN1  
–IN1  
16  
15  
1
2
3
4
5
6
7
8
VREF  
OUT1  
+IN1  
14 FBK1  
AD605  
GND1  
GND2  
VPOS  
VPOS  
FBK2  
OUT2  
13  
12  
11  
10  
9
TOP VIEW  
(Not to Scale)  
+IN2  
–IN2  
VGN2  
VOCM  
Figure 2. Pin Configuration  
Table 3. Pin Function Descriptions  
Pin No. Mnemonic Description  
1
2
VGN1  
−IN1  
CH1 Gain-Control Input and Power-Down Pin. If grounded, device is off; otherwise, positive voltage increases gain.  
CH1 Negative Input.  
3
+IN1  
CH1 Positive Input.  
5
6
GND1  
GND2  
+IN2  
Ground.  
Ground.  
CH2 Positive Input.  
7
−IN2  
CH2 Negative Input.  
8
9
VGN2  
VOCM  
OUT2  
FBK2  
VPOS  
VPOS  
FBK1  
OUT1  
VREF  
CH2 Gain-Control Input and Power-Down Pin. If grounded, device is off; otherwise, positive voltage increases gain.  
Input to This Pin Defines Common-Mode Voltage for OUT1 and OUT2.  
CH2 Output.  
Feedback Pin That Selects Gain Range of CH2.  
Positive Supply.  
Positive Supply.  
Feedback Pin That Selects Gain Range of CH1.  
CH1 Output.  
Input to This Pin Sets Gain Scaling for Both Channels: 2.5 V = 20 dB/V, and 1.67 V = 30 dB/V.  
10  
11  
12  
13  
1ꢀ  
15  
16  
Rev. D | Page 6 of 20  
 
AD605  
TYPICAL PERFORMANCE CHARACTERISTICS (PER CHANNEL)  
VREF = 2.5 V (20 dB/V scaling), f = 1 MHz, RL = 500 Ω, CL = 5 pF, TA = 25°C, VSS = 5 V.  
40  
40.0  
37.5  
35.0  
32.5  
30.0  
27.5  
25.0  
22.5  
20.0  
THEORETICAL  
30  
–40°C, +25°C, +85°C  
20  
ACTUAL  
10  
0
–10  
–20  
1.25  
1.50  
1.75  
2.00  
2.25  
2.50  
0.1  
0.5  
0.9  
1.3  
1.7  
2.1  
2.5  
2.9  
VGN (V)  
V
(V)  
REF  
Figure 3. Gain vs. VGN  
Figure 6. Gain Scaling vs. VREF  
3.0  
2.5  
50  
40  
2.0  
1.5  
1.0  
30  
–40°C  
FBK (OPEN)  
0.5  
20  
0
FBK (SHORT)  
–0.5  
–1.0  
–1.5  
–2.0  
–2.5  
–3.0  
+25°C  
10  
+85°C  
0
–10  
–20  
0.2  
0.7  
1.2  
1.7  
2.2  
2.7  
0.1  
0.5  
0.9  
1.3  
1.7  
2.1  
2.5  
2.9  
VGN (V)  
VGN (V)  
Figure 7. Gain Error vs. VGN at Three Temperatures  
Figure 4. Gain vs. VGN for Different Gain Ranges  
2.0  
1.5  
1.0  
0.5  
0
40  
30  
ACTUAL  
ACTUAL  
30dB/V  
= 1.67V)  
f = 1MHz  
(V  
REF  
20  
20dB/V  
= 2.50V)  
f = 5MHz  
10  
(V  
REF  
–0.5  
–1.0  
f = 10MHz  
0
–1.5  
–2.0  
–10  
–20  
0.2  
0.7  
1.2  
1.7  
2.2  
2.7  
VGN (V)  
0.1  
0.5  
0.9  
1.3  
1.7  
2.1  
2.5  
2.9  
VGN (V)  
Figure 8. Gain Error vs. VGN at Three Frequencies  
Figure 5. Gain vs. VGN for Different Gain Scalings  
Rev. D | Page 7 of 20  
 
AD605  
2.0  
1.5  
1.0  
0.5  
0
60  
40  
20  
VGN = 2.9V (FBK = OPEN)  
VGN = 2.9V (FBK = SHORT)  
VGN = 1.5V (FBK = OPEN)  
20dB/V  
= 2.50V  
VGN = 1.5V (FBK = SHORT)  
VGN = 0.1V (FBK = OPEN)  
V
REF  
0
VGN = 0.1V (FBK = SHORT)  
30dB/V  
= 1.67V  
–0.5  
–1.0  
V
REF  
–20  
VGN = 0.0V  
–40  
–60  
–1.5  
–2.0  
0.2  
0.7  
1.2  
1.7  
2.2  
2.7  
100k  
1M  
10M  
100M  
VGN (V)  
FREQUENCY (Hz)  
Figure 12. AC Response for Three Values of VGN  
Figure 9. Gain Error vs. VGN for Two Gain Scale Values  
2.525  
2.520  
20  
18  
16  
14  
12  
10  
8
V
= 2.50V  
N = 50  
OCM  
G(dB) = G(CH1) – G(CH2)  
–40°C  
+25°C  
2.515  
2.510  
2.505  
2.500  
2.495  
2.490  
2.485  
+85°C  
6
4
2.480  
2.475  
2
0
0
0.5  
1.0  
1.5  
VGN (V)  
2.0  
2.5  
3.0  
–0.8 –0.6 –0.4 –0.2  
0
0.2  
0.4  
0.6  
0.8  
DELTA GAIN (dB)  
Figure 10. Gain Match, VGN1 = VGN2 = 1.0 V  
Figure 13. Output Offset vs. VGN at Three Temperatures  
20  
18  
16  
14  
12  
10  
8
130  
N = 50  
+85°C  
+25°C  
G(dB) = G(CH1) – G(CH2)  
125  
120  
115  
110  
105  
100  
95  
–40°C  
6
4
2
0
90  
–0.8 –0.6 –0.4 –0.2  
0
0.2  
0.4  
0.6  
0.8  
0
0.5  
1.0  
1.5  
2.0  
2.5  
3.0  
DELTA GAIN (dB)  
VGN (V)  
Figure 14. Output Referred Noise vs. VGN at Three Temperatures  
Figure 11. Gain Match, VGN1 = VGN2 = 2.50 V  
Rev. D | Page 8 of 20  
AD605  
1000  
100  
10  
VGN = 2.9V  
100  
10  
1
1.0  
R
ALONE  
SOURCE  
0.1  
1
0.1  
0.5  
0.9  
1.3  
1.7  
2.1  
2.5  
2.9  
10  
100  
1k  
VGN (V)  
R
()  
SOURCE  
Figure 18. Input Referred Noise vs. RSOURCE  
Figure 15. Input Referred Noise vs. VGN  
30  
25  
20  
15  
2.00  
1.95  
1.90  
VGN = 2.9V  
VGN = 2.9V  
1.85  
1.80  
1.75  
1.70  
1.65  
1.60  
10  
5
1
10  
100  
1k  
–40 –30 –20 –10  
0
10 20 30 40 50 60 70 80 90  
TEMPERATURE (°C)  
R
()  
SOURCE  
Figure 19. Noise Figure vs. RSOURCE  
Figure 16. Input Referred Noise vs. Temperature  
60  
50  
40  
30  
20  
10  
0
1.90  
1.85  
1.80  
1.75  
1.70  
1.65  
1.60  
VGN = 2.9V  
R
= 50  
S
0.1  
0.5  
0.9  
1.3  
1.7  
2.1  
2.5  
2.9  
100k  
1M  
10M  
VGN (V)  
FREQUENCY (Hz)  
Figure 17. Input Referred Noise vs. Frequency  
Figure 20. Noise Figure vs. VGN  
Rev. D | Page 9 of 20  
AD605  
–30  
–35  
–40  
–45  
–50  
–55  
–60  
–65  
–70  
15  
V
= 1V p-p  
OUT  
VGN = 1.0V  
10  
INPUT GENERATOR  
LIMIT = 21dBm  
5
0
–5  
HD3  
HD2  
–10  
–15  
–20  
FREQ = 10MHz  
FREQ = 1MHz  
100k  
1M  
10M  
FREQUENCY (Hz)  
100M  
0.1  
0.5  
0.9  
1.3  
1.7  
2.1  
2.5  
2.9  
VGN (V)  
Figure 21. Harmonic Distortion vs. Frequency  
Figure 24. 1 dB Compression vs. VGN  
35  
30  
25  
20  
15  
10  
5
–35  
–40  
–45  
–50  
–55  
–60  
–65  
–70  
–75  
V
= 1V p-p  
OUT  
HD3  
(10MHz)  
f = 1MHz  
HD2  
(1MHz)  
HD2  
f = 10MHz  
(10MHz)  
0
HD3  
(1MHz)  
–5  
0.6  
1.0  
1.4  
1.8  
2.2  
2.6  
3.0  
0.5  
0.8  
1.1  
1.4  
1.7  
2.0  
2.3  
2.6  
2.9  
VGN (V)  
VGN (V)  
Figure 22. Harmonic Distortion vs. VGN at 1 MHz and 10 MHz  
Figure 25. Third-Order Intercept vs. VGN at 1 MHz and 10 MHz  
–20  
2V  
f = 10MHz  
V
= 2V p-p  
OUT  
VGN = 1.5V  
–30  
–40  
V
= 1V p-p  
OUT  
VGN = 1.0V  
–50  
–60  
–70  
–80  
–90  
TRIG'D  
2V  
–100  
–110  
–120  
9.92  
9.96  
10.00  
FREQUENCY (MHz)  
10.02  
10.04  
1.253µs  
253ns  
100ns/DIV  
Figure 23. Intermodulation Distortion  
Figure 26. Large Signal Pulse Response  
Rev. D | Page 10 of 20  
AD605  
–30  
–40  
200  
VGN1 = 1V  
V
= 200mV p-p  
OUT  
V
= 1V p-p  
VGN = 1.5V  
OUT1  
= GND  
V
IN2  
–50  
–60  
–70  
VGN2 = 2.9V  
TRIG'D  
–200  
VGN2 = 2.5V  
VGN2 = 2.0V  
VGN2 = 0.1V  
–80  
–90  
100k  
1M  
10M  
100M  
1.253µs  
253ns  
FREQUENCY (Hz)  
100ns/DIV  
Figure 27. Small Signal Pulse Response  
Figure 30. Crosstalk (CH1 to CH2) vs. Frequency for Four Values of VGN2  
0
V
= 0dBm  
IN  
500mV  
–10  
–20  
–30  
–40  
–50  
–60  
2.9V  
100  
90  
VGN = 2.9V  
VGN = 2.5V  
VGN = 2.0V  
10  
VGN = 0.1V  
0%  
0.0V  
500mV  
200ns  
100k  
1M  
10M  
100M  
FREQUENCY (Hz)  
Figure 31. Common-Mode Rejection Ratio (CMRR) vs.  
Frequency for Four Values of VGN  
Figure 28. Power-Up/Power-Down Response  
180  
VGN = 2.9V  
500mV  
175  
170  
165  
160  
2.9V  
100  
90  
155  
150  
10  
0%  
145  
140  
0.1V  
500mV  
100ns  
100k  
1M  
10M  
100M  
FREQUENCY (Hz)  
Figure 29. Gain Response  
Figure 32. Input Impedance vs. Frequency  
Rev. D | Page 11 of 20  
AD605  
25  
16  
+I (AD605)  
S
14  
12  
20  
15  
10  
10  
8
6
VGN = 0.1V  
VGN = 2.9V  
50  
0
+I (VGN = 0)  
S
4
100k  
–40 –30 –20 –10  
0
10 20 30 40 50 60 70 80 90  
TEMPERATURE (°C)  
1M  
10M  
100M  
FREQUENCY (Hz)  
Figure 34. Group Delay vs. Frequency  
Figure 33. Supply Current (One Channel) vs. Temperature  
Rev. D | Page 12 of 20  
AD605  
THEORY OF OPERATION  
The AD605 is a dual channel, low noise variable gain amplifier.  
Figure 35 shows the simplified block diagram of one channel.  
Each channel consists of a single-supply X-AMP® (hereafter  
called DSX, differential single-supply X-AMP) comprised of:  
The desired gain can then be achieved by setting the unipolar  
gain control (VGN) to a voltage within its nominal operating  
range of 0.25 V to 2.65 V (for 20 dB/V gain scaling). The gain is  
monotonic for a complete gain control range of 0.1 V to 2.9 V.  
Maximum gain can be achieved at a VGN of 2.9 V.  
Precision passive attenuator (differential ladder)  
Gain control block  
Because the two channels are identical, only Channel 1 is used  
to describe their operation. VREF and VOCM are the only  
inputs that are shared by the two channels, and because they are  
normally ac grounds, crosstalk between the two channels is  
minimized. For highest gain scaling accuracy, VREF should  
have an external low impedance voltage source. For low accuracy  
20 dB/V applications, the VREF input can be decoupled with a  
capacitor to ground. In this mode, the gain scaling is determined  
by the midpoint between +VCC and GND; therefore, care should  
be taken to control the supply voltage to 5 V. The input resistance  
looking into the VREF pin is 10 kΩ 20ꢀ.  
VOCM buffer with supply splitting resistors R3 and R4  
Active feedback amplifier1 (AFA) with gain setting  
resistors R1 and R2  
The linear-in-dB gain response of the AD605 can generally be  
described by Equation 1.  
G (dB) = (Gain Scaling (dB/V)) × (Gain Control (V)) −  
(19 dB − (14 dB) × (FB))  
(1)  
where:  
The AD605 is a single-supply circuit and the VOCM pin is used  
to establish the dc level of the midpoint of this portion of the  
circuit. VOCM needs only an external decoupling capacitor to  
ground to center the midpoint between the supply voltages (5 V,  
GND). However, if the dc level of the output is important to the  
user (see the Applications section of the AD9050 data sheet for  
an example), then VOCM can be specifically set. The input  
resistance looking into the VOCM pin is 45 kΩ 20ꢀ.  
FB = 0, if FBK-to-OUT are shorted.  
FB = 1, if FBK-to-OUT is open.  
Each channel provides between −14 dB to +34.4 dB through  
0 dB to +48.4 dB of gain depending on the value of the  
resistance connected between Pin FBK and Pin OUT. The  
center 40 dB of gain is exactly linear-in-dB while the gain error  
increases at the top and bottom of the range. The gain is set by  
the gain control voltage (VGN). The VREF input establishes the  
gain scaling. The useful gain scaling range is between 20 dB/V  
and 40 dB/V for a VREF voltage of 2.5 V and 1.25 V,  
1 To understand the active-feedback amplifier topology, refer to the AD830  
data sheet. The AD830 is a practical implementation of the idea.  
respectively. For example, if FBK to OUT were shorted and  
VREF were set to 2.50 V (to establish a gain scaling of 20 dB/V),  
the gain equation would simplify to  
G (dB) = (20 (dB/V)) × (VGN (V)) – 19 dB  
(2)  
VREF  
VGN  
GAIN  
CONTROL  
DISTRIBUTED G  
175Ω  
175Ω  
M
C1  
+IN  
+
G1  
DIFFERENTIAL  
ATTENUATOR  
EXT  
C2  
+
Ao  
–IN  
OUT  
3.36kΩ  
VPOS  
G2  
+
R3  
200kΩ  
R2  
20Ω  
R1  
820Ω  
VOCM  
+
FBK  
R4  
C3  
200kΩ  
EXT  
Figure 35. Simplified Block Diagram of a Single Channel of the AD605  
Rev. D | Page 13 of 20  
 
 
AD605  
R
R
–6.908dB  
1.5R  
R
R
–13.82dB  
1.5R  
R
R
–20.72dB  
1.5R  
R
R
–27.63dB  
1.5R  
R
R
–34.54dB  
1.5R  
R
R
–41.45dB  
1.5R  
R
R
–48.36dB  
1.5R  
+IN  
175  
175Ω  
MID  
–IN  
1.5R  
1.5R  
1.5R  
1.5R  
1.5R  
1.5R  
1.5R  
NOTE: R = 96Ω  
1.5R = 144Ω  
Figure 36. R-1.5R Dual Ladder Network  
DIFFERENTIAL LADDER (ATTENUATOR)  
AC COUPLING  
The attenuator before the fixed gain amplifier is realized by a  
differential 7-stage R-1.5R resistive ladder network with an  
untrimmed input resistance of 175 Ω single-ended or 350 Ω  
differentially. The signal applied at the input of the ladder  
network is attenuated by 6.908 dB per tap; thus, the attenuation  
at the first tap is 6.908 dB, at the second, 13.816 dB, and so on  
all the way to the last tap where the attenuation is 48.356 dB  
(see Figure 36). A unique circuit technique is used to interpolate  
continuously between the tap points, thereby providing  
continuous attenuation from 0 dB to −48.36 dB. One can  
think of the ladder network together with the interpolation  
mechanism as a voltage-controlled potentiometer.  
The DSX is a single-supply circuit; therefore, its inputs need to  
be ac-coupled to accommodate ground-based signals. External  
Capacitor C1 and Capacitor C2 in Figure 35 level shift the input  
signal from ground to the dc value established by VOCM  
(nominal 2.5 V). C1 and C2, together with the 175 Ω looking  
into each of DSX inputs (+IN and −IN), act as high-pass filters  
with corner frequencies depending on the values chosen for C1  
and C2. For example, if C1 and C2 are 0.1 μF, then together  
with the 175 Ω input resistance of each side of the differential  
ladder of the DSX, a −3 dB high-pass corner at 9.1 kHz is formed.  
If the DSX output needs to be ground referenced, then another  
ac coupling capacitor is required for level shifting. This capacitor  
also eliminates any dc offsets contributed by the DSX. With a  
nominal load of 500 Ω and a 0.1 μF coupling capacitor, this adds a  
high-pass filter with −3 dB corner frequency at about 3.2 kHz.  
Since the DSX is a single-supply circuit, some means of biasing  
its inputs must be provided. Node MID together with the  
VOCM buffer performs this function. Without internal biasing,  
external biasing is required. If not done carefully, the biasing  
network can introduce additional noise and offsets. By  
providing internal biasing, the user is relieved of this task and  
only needs to ac couple the signal into the DSX. It should be  
made clear again that the input to the DSX is still fully  
differential if driven differentially, that is, Pin +IN and Pin −IN  
see the same signal but with opposite polarity. What changes is  
the load as seen by the driver; it is 175 Ω when each input is  
driven single-ended, but 350 Ω when driven differentially. This  
can be easily explained when thinking of the ladder network as  
two 175 Ω resistors connected back-to-back with the middle  
node, MID, being biased by the VOCM buffer. A differential  
signal applied between nodes +IN and −IN results in zero  
current into node MID, but a single-ended signal applied to  
either input +IN or −IN, while the other input is ac grounded,  
causes the current delivered by the source to flow into the  
VOCM buffer via node MID.  
The choice for all three of these coupling capacitors depends on  
the application. They should allow the signals of interest to pass  
unattenuated, while at the same time, they can be used to limit  
the low frequency noise in the system.  
GAIN CONTROL INTERFACE  
The gain control interface provides an input resistance of  
approximately 2 MΩ at Pin VGN1 and gain scaling factors from  
20 dB/V to 40 dB/V for VREF input voltages of 2.5 V to 1.25 V,  
respectively. The gain varies linearly in dB for the center 40 dB  
of gain range, that is, for VGN equal to 0.4 V to 2.4 V for the  
20 dB/V scale, and 0.25 V to 1.25 V for the 40 dB/V scale.  
Figure 37 shows the ideal gain curves when the FBK-to-OUT  
connection is shorted as described by the following equations:  
G (20 dB/V) = 20 × VGN − 19, VREF = 2.500 V  
G (30 dB/V) = 30 × VGN − 19, VREF = 1.6666 V  
G (40 dB/V) = 40 × VGN − 19, VREF = 1.250 V  
(3)  
(4)  
(5)  
A feature of the X-AMP architecture is that the output-referred  
noise is constant vs. gain over most of the gain range. Referring  
to Figure 36, the tap resistance is approximately equal for all  
taps within the ladder, excluding the end sections. The resistance  
seen looking into each tap is 54.4 Ω, which makes 0.95 nV/√Hz of  
Johnson noise spectral density. Because there are two attenuators,  
the overall noise contribution of the ladder network is √2 times  
0.95 nV/√Hz or 1.34 nV/√Hz, a large fraction of the total DSX  
noise. The rest of the DSX circuit components contribute another  
1.20 nV/√Hz, which together with the attenuator produces  
1.8 nV/√Hz of total DSX input, referred noise.  
From the equations one can see that all gain curves intercept at  
the same −19 dB point; this intercept is 14 dB higher (−5 dB) if  
the FBK-to-OUT connection is left open. Outside of the central  
linear range, the gain starts to deviate from the ideal control law  
but still provides another 8.4 dB of range. For a given gain  
scaling, one can calculate VREF as  
2.500 V×20 dB/V  
VREF  
=
(6)  
Gain Scale  
Rev. D | Page 1ꢀ of 20  
 
 
 
AD605  
40dB/V  
30dB/V  
20dB/V  
The AFA makes a differential input structure possible since one  
of its inputs (G1) is fully differential; this input is made up of a  
distributed gm stage. The second input (G2) is used for feedback.  
The output of G1 is some function of the voltages sensed on the  
attenuator taps that is applied to a high-gain amplifier (A0).  
Because of negative feedback, the differential input to the high  
gain amplifier is zero; this in turn implies that the differential  
input voltage to G2 times gm2 (the transconductance of G2) is  
equal to the differential input voltage to G1 times gm1 (the  
transconductance of G1). Therefore the overall gain function  
of the AFA is  
35  
30  
25  
20  
15  
10  
5
LINEAR-IN-dB RANGE  
OF AD605  
0
0.5  
1.0  
1.5  
2.0  
2.5  
3.0  
–5  
–10  
GAIN CONTROL VOLTAGE  
VOUT  
gm1 R1×R2  
=
×
(7)  
VATTEN gm2  
R2  
–15  
–20  
where:  
V
V
OUT is the output voltage.  
ATTEN is the effective voltage sensed on the attenuator.  
Figure 37. Ideal Gain Curves vs. VREF  
(R1 + R2)/R2 = 42.  
gm1/gm2 = 1.25; the overall gain is therefore 52.5 (34.4 dB).  
Usable gain control voltage ranges are 0.1 V to 2.9 V for the  
20 dB/V scale and 0.1 V to 1.45 V for the 40 dB/V scale. VGN  
voltages of less than 0.1 V are not used for gain control because  
below 50 mV the channel is powered down. This can be used to  
conserve power and at the same time gate-off the signal. The  
supply current for a powered-down channel is 1.9 mA, and the  
response time to power the device on or off is less than 1 μs.  
The AFA has additional features: inverting the output signal by  
switching the positive and negative input to the ladder network;  
the possibility of using the −IN input as a second signal input;  
and independent control of the DSX common-mode voltage.  
Under normal operating conditions, it is best to connect a  
decoupling capacitor to Pin VOCM, in which case, the common-  
mode voltage of the DSX is half of the supply voltage; this allows  
for maximum signal swing. Nevertheless, the common-mode  
voltage can be shifted up or down by directly applying a voltage  
to VOCM. It can also be used as another signal input, the only  
limitation being the rather low slew rate of the VOCM buffer.  
ACTIVE FEEDBACK AMPLIFIER (FIXED GAIN AMP)  
To achieve single-supply operation and a fully differential input  
to the DSX, an active feedback amplifier (AFA) was used. The  
AFA is an op amp with two gm stages; one of the active stages is  
used in the feedback path (therefore the name), while the other  
is used as a differential input. Note that the differential input is  
an open-loop gm stage that requires that it be highly linear over  
the expected input signal range. In this design, the gm stage that  
senses the voltages on the attenuator is a distributed one; for  
example, there are as many gm stages as there are taps on the  
ladder network. Only a few of them are on at any one time,  
depending on the gain control voltage.  
If the dc level of the output signal is not critical, another  
coupling capacitor is normally used at the output of the DSX;  
again, this is done for level shifting and to eliminate any dc  
offsets contributed by the DSX (see the AC Coupling section).  
The gain range of the DSX is programmable by a resistor  
connected between Pin FBK and Pin OUT. The possible ranges  
are −14 dB to +34.4 dB when the pins are shorted together, or  
0 dB to +48.4 dB when FBK is left open. Note that for the  
higher gain range, the bandwidth of the amplifier is reduced by  
a factor of five to about 8 MHz because the gain increased by  
14 dB. This is the case for any constant gain bandwidth product  
amplifier that includes the active feedback amplifier.  
Rev. D | Page 15 of 20  
 
 
AD605  
APPLICATIONS  
The basic circuit in Figure 38 shows the connections for one  
channel of the AD605 with a gain range of −14 dB to +34.4 dB.  
The signal is applied at Pin 3. The ac coupling capacitors before  
Pin −IN1 and Pin +IN1 should be selected according to the  
required lower cutoff frequency. In this example, the 0.1 μF  
capacitors, together with the 175 Ω of each of the DSX input  
pins, provide a −3 dB high pass corner of about 9.1 kHz. The  
upper cutoff frequency is determined by the amplifier and is  
40 MHz.  
VGN  
C1  
1
2
3
4
5
6
7
8
16  
15  
14  
13  
12  
11  
10  
9
2.500V  
VREF  
VGN1  
–IN1  
0.1µF  
AD605OUT1  
R1  
R2  
V
IN  
+IN1  
FBK1  
C2  
GND1  
GND2  
+IN2  
0.1µF  
VPOS  
VPOS  
FBK2  
OUT2  
VOCM  
5V  
C3  
0.1µF  
C5  
0.1µF  
–IN2  
OUT  
C4  
0.1µF  
VGN2  
C6  
0.1µF  
VGN  
16  
15  
14  
13  
12  
1
2
3
4
5
6
7
8
2.500V  
OUT  
VREF  
Figure 39. Doubling the Gain Range with Two Amplifiers  
VGN1  
–IN1  
0.1µF  
0.1µF  
AD605OUT1  
0.1µF  
5V  
Two other easy combinations are possible to provide a gain  
range of −14 dB to +82.8 dB: make R1 a short and R2 an open,  
or make R1 an open and R2 a short. The bandwidth for both of  
these cases is dominated by the channel that is set to the higher  
gain and is about 8 MHz. From a noise standpoint, the second  
choice is the best because by increasing the gain of the first  
amplifier, the second amplifiers noise has less of an impact on  
the total output noise. One further observation regarding noise  
is that by increasing the gain, the output noise increases  
proportionally; therefore, there is no increase in signal-to-noise  
ratio. It actually stays fixed.  
V
IN  
+IN1  
FBK1  
GND1  
GND2  
+IN2  
VPOS  
VPOS  
FBK2 11  
10  
–IN2  
OUT2  
VGN2  
9
VOCM  
0.1µF  
Figure 38. Basic Connections for a Single Channel  
As shown in Figure 38, the output is ac-coupled for optimum  
performance. In the case of connecting to the 10-bit, 40 MSPS  
ADC, AD9050, ac coupling can be eliminated as long as  
Pin VOCM is biased by the same 3.3 V common-mode  
voltage as the AD9050.  
It should be noted that by selecting the appropriate values of R1  
and R2, any gain range between −28 dB to +68.8 dB and 0 dB to  
+96.8 dB can be achieved with the circuit in Figure 39. When  
using any value other than shorts and opens for R1 and R2, the  
final value of the gain range depends on the external resistors  
matching the on-chip resistors. Since the internal resistors can  
vary by as much as 20ꢀ, the actual values for a particular gain  
have to be determined empirically. Note that the two channels  
within one part match quite well; therefore, R1 tracks R2 in  
Figure 39.  
Pin VREF requires a voltage of 1.25 V to 2.5 V, with gain scaling  
between 40 dB/V and 20 dB/V, respectively. Voltage VGN  
controls the gain; its nominal operating range is from 0.25 V to  
2.65 V for 20 dB/V gain scaling, and 0.125 V to 1.325 V for  
40 dB/V scaling. When this pin is taken to ground, the channel  
powers down and disables its output.  
CONNECTING TWO AMPLIFIERS TO DOUBLE THE  
GAIN RANGE  
C3 is not required because the common-mode voltage at  
Pin OUT1 should be identical to the one at Pin +IN2 and  
Pin −IN2. However, since only 1 mV of offset at the output of  
the first DSX introduces an offset of 53 mV when the second  
DSX is set to the maximum gain of the lowest gain range  
(34.4 dB), and 263 mV when set to the maximum gain of the  
highest gain range (48.4 dB), it is important to include ac  
coupling to get the maximum dynamic range at the output of  
the cascaded amplifiers. C5 is necessary if the output signal  
needs to be referenced to any common-mode level other than  
half of the supply as is provided by Pin OUT2.  
Figure 39 shows the two channels of the AD605 connected in  
series to provide a total gain range of 96.8 dB. When R1 and R2  
are shorts, the gain range is from −28 dB to +68.8 dB with a  
slightly reduced bandwidth of about 30 MHz. The reduction in  
bandwidth is due to two identical low-pass circuits being  
connected in series; in the case of two identical single-pole low-  
pass filters, the bandwidth would be reduced by exactly √2. If  
R1 and R2 are replaced by open circuits, that is, Pin FBK1 and  
Pin FBK2 are left unconnected, then the gain range shifts up by  
28 dB to 0 dB to 96.8 dB. As previously noted, the bandwidth of  
each individual channel is reduced by a factor of 5 to about  
8 MHz because the gain increased by 14 dB. In addition, there is  
still the √2 reduction because of the series connection of the  
two channels that results in a final bandwidth of the higher gain  
version of about 6 MHz.  
Rev. D | Page 16 of 20  
 
 
 
 
AD605  
4
3
Figure 40 shows the gain vs. VGN for the circuit in Figure 39 at  
1 MHz and the lowest gain range (−14 dB to +34.4 dB). Note  
that the gain scaling is 40 dB/V, double the 20 dB/V of an  
individual DSX; this is the result of the parallel connection of  
the gain control inputs, VGN1 and VGN2. One could of course  
also sequentially increase the gain by first increasing the gain of  
Channel 1 and then Channel 2. In this case, VGN1 and VGN2  
are driven from separate voltage sources, for instance two  
separate DACs. Figure 41 shows the gain error of Figure 39.  
f = 1MHz  
2
1
0
–1  
–2  
–3  
–4  
80  
THEORETICAL  
f = 1MHz  
70  
60  
50  
40  
30  
20  
10  
0
0.2  
0.7  
1.2  
1.7  
2.2  
2.7  
ACTUAL  
VGN (V)  
Figure 41. Gain Error vs. VGN for the Circuit in Figure 39  
–10  
–20  
–30  
–40  
0.1  
0.5  
0.9  
1.3  
1.7  
2.1  
2.5  
2.9  
VGN (V)  
Figure 40. Gain vs. VGN for the Circuit in Figure 39  
Rev. D | Page 17 of 20  
 
 
AD605  
OUTLINE DIMENSIONS  
0.800 (20.32)  
0.790 (20.07)  
0.780 (19.81)  
16  
1
9
8
0.280 (7.11)  
0.250 (6.35)  
0.240 (6.10)  
0.325 (8.26)  
0.310 (7.87)  
0.300 (7.62)  
PIN 1  
0.100 (2.54)  
BSC  
0.060 (1.52)  
MAX  
0.195 (4.95)  
0.130 (3.30)  
0.115 (2.92)  
0.210  
(5.33)  
MAX  
0.015  
(0.38)  
MIN  
0.150 (3.81)  
0.130 (3.30)  
0.115 (2.92)  
0.015 (0.38)  
GAUGE  
0.014 (0.36)  
0.010 (0.25)  
0.008 (0.20)  
PLANE  
SEATING  
PLANE  
0.022 (0.56)  
0.018 (0.46)  
0.014 (0.36)  
0.430 (10.92)  
MAX  
0.005 (0.13)  
MIN  
0.070 (1.78)  
0.060 (1.52)  
0.045 (1.14)  
COMPLIANT TO JEDEC STANDARDS MS-001-AB  
CONTROLLING DIMENSIONS ARE IN INCHES; MILLIMETER DIMENSIONS  
(IN PARENTHESES) ARE ROUNDED-OFF INCH EQUIVALENTS FOR  
REFERENCE ONLY AND ARE NOT APPROPRIATE FOR USE IN DESIGN.  
CORNER LEADS MAY BE CONFIGURED AS WHOLE OR HALF LEADS.  
Figure 42. 16-Lead Plastic Dual In-Line Package [PDIP]  
(N-16)  
Dimensions shown in inches and (millimeters)  
10.00 (0.3937)  
9.80 (0.3858)  
16  
1
9
8
6.20 (0.2441)  
5.80 (0.2283)  
4.00 (0.1575)  
3.80 (0.1496)  
1.75 (0.0689)  
1.35 (0.0531)  
1.27 (0.0500)  
BSC  
0.50 (0.0197)  
0.25 (0.0098)  
× 45°  
0.25 (0.0098)  
0.10 (0.0039)  
8°  
0°  
0.51 (0.0201)  
0.31 (0.0122)  
SEATING  
PLANE  
1.27 (0.0500)  
0.40 (0.0157)  
COPLANARITY  
0.10  
0.25 (0.0098)  
0.17 (0.0067)  
COMPLIANT TO JEDEC STANDARDS MS-012-AC  
CONTROLLING DIMENSIONS ARE IN MILLIMETERS; INCH DIMENSIONS  
(IN PARENTHESES) ARE ROUNDED-OFF MILLIMETER EQUIVALENTS FOR  
REFERENCE ONLY AND ARE NOT APPROPRIATE FOR USE IN DESIGN.  
Figure 43. 16-Lead Standard Small Outline Package [SOIC_N]  
Narrow Body  
(R-16)  
Dimensions shown in millimeters and (inches)  
Rev. D | Page 18 of 20  
 
AD605  
ORDERING GUIDE  
Model  
AD605AN  
AD605ANZ1  
Temperature Range  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
−ꢀ0°C to +85°C  
Package Description  
16-Lead PDIP  
16-Lead PDIP  
Package Option  
N-16  
N-16  
R-16  
R-16  
R-16  
R-16  
R-16  
R-16  
N-16  
R-16  
R-16  
R-16  
R-16  
R-16  
R-16  
AD605AR  
16-Lead SOIC_N  
AD605AR-REEL  
AD605AR-REEL7  
AD605ARZ1  
AD605ARZ-RL1  
AD605ARZ-RL71  
AD605BN  
16-Lead SOIC_N, 13" Reel  
16-Lead SOIC_N, 7" Reel  
16-Lead SOIC_N  
16-Lead SOIC_N, 13" Reel  
16-Lead SOIC_N, 7" Reel  
16-Lead PDIP  
AD605BR  
16-Lead SOIC_N  
AD605BR-REEL  
AD605BR-REEL7  
AD605BRZ1  
AD605BRZ-RL1  
AD605BRZ-RL71  
AD605-EB  
16-Lead SOIC_N, 13" Reel  
16-Lead SOIC_N, 7" Reel  
16-Lead SOIC_N  
16-Lead SOIC_N, 13" Reel  
16-Lead SOIC_N, 7" Reel  
Evaluation Board  
AD605ACHIPS  
DIE  
1 Z = Pb-free part.  
Rev. D | Page 19 of 20  
 
 
AD605  
NOTES  
©2006 Analog Devices, Inc. All rights reserved. Trademarks and  
registered trademarks are the property of their respective owners.  
C00541-0-1/06(D)  
Rev. D | Page 20 of 20  
 

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