AD ADIS16130

Digital Output, High-Precision
Angular Rate Sensor
ADIS16130
FEATURES
GENERAL DESCRIPTION
Low noise density, 0.0125o/sec/√Hz
Industry-standard serial peripheral interface (SPI)
24-bit digital resolution
±250o/sec dynamic range
Z-axis, yaw rate response
300 Hz bandwidth, adjustable
35 ms turn-on time
Digital self-test
High vibration rejection
High shock survivability
Embedded temperature sensor output
Precision voltage reference output
5 V single-supply operation
−40°C to +85°C
The ADIS16130 is a low noise, digital output angular rate sensor
(gyroscope) that provides an output response over the complete
dynamic range of ±250o/sec.
Its industry-standard serial interface and register structure provide
a simple interface that is supported by most MCU, DSP, and FPGA
platforms.
By implementing a unique design, the device provides superior
stability over variations in temperature, voltage, linear acceleration,
vibration, and next-level assembly. In addition, the surface-micromachining technology used to manufacture the device is the
same high volume BiMOS process used by Analog Devices, Inc.,
for its high reliability automotive sensor products.
Features include a temperature output that provides critical
information for system-level calibrations, and a digital self-test
feature, which exercises the mechanical structure of the sensor
and enables system-level diagnostics.
APPLICATIONS
Guidance and control
Instrumentation
Inertial measurement units (IMU)
Platform stabilization
Navigation
The package configuration is a 36 mm × 44 mm × 16 mm
module with a standard 24-lead connector interface.
FUNCTIONAL BLOCK DIAGRAM
SYNC
ADIS16130
REFERENCE
SYNC
TEMPERATURE
SENSOR
MEMS
ANGULAR
RATE
SENSOR
24-BIT
Σ-Δ ADC
2:1
MUX
SERIAL
INTERFACE
CS
SCLK
SDI
SDO
RDY
ST
ROA1
ROA2
VCC
GND
07238-001
SELF-TEST
Figure 1.
Rev. 0
Information furnished by Analog Devices is believed to be accurate and reliable. However, no
responsibility is assumed by Analog Devices for its use, nor for any infringements of patents or other
rights of third parties that may result from its use. Specifications subject to change without notice. No
license is granted by implication or otherwise under any patent or patent rights of Analog Devices.
Trademarks and registered trademarks are the property of their respective owners.
One Technology Way, P.O. Box 9106, Norwood, MA 02062-9106, U.S.A.
Tel: 781.329.4700
www.analog.com
Fax: 781.461.3113
©2008 Analog Devices, Inc. All rights reserved.
ADIS16130
TABLE OF CONTENTS
Features .............................................................................................. 1
Typical Performance Characteristics ..............................................8
Applications....................................................................................... 1
Basic Operation .................................................................................9
General Description ......................................................................... 1
Getting Started Quickly................................................................9
Functional Block Diagram .............................................................. 1
Configuration Options .............................................................. 10
Revision History ............................................................................... 2
Control Registers ............................................................................ 11
Specifications..................................................................................... 3
Control Register Details ............................................................ 11
Timing Specifications .................................................................. 4
Applications Information .............................................................. 12
Absolute Maximum Ratings............................................................ 6
Achieving Optimal Noise Performance .................................. 12
Thermal Resistance ...................................................................... 6
Second-Level Assembly ............................................................. 12
ESD Caution.................................................................................. 6
Outline Dimensions ....................................................................... 13
Pin Configuration and Function Descriptions............................. 7
Ordering Guide .......................................................................... 13
REVISION HISTORY
1/08—Revision 0: Initial Version
Rev. 0 | Page 2 of 16
ADIS16130
SPECIFICATIONS
TA = 25°C, VCC = 5 V, angular rate = 0°/sec, COUT = 0 μF, ±1 g, unless otherwise noted.
Table 1.
Parameter
SENSITIVITY
Dynamic Range 2
Initial
Nonlinearity
NULL
Initial Null
In-Run Bias Stability
Angle Random Walk
Turn-On Time
Linear Acceleration Effect
Voltage Sensitivity
NOISE PERFORMANCE
Rate Noise Density 3
FREQUENCY RESPONSE
Bandwidth
Sensor Resonant Frequency
SELF-TEST INPUTS
ST RATEOUT Response 4
Logic 1 Input Voltage
Logic 0 Input Voltage
Input Impedance
TEMPERATURE SENSOR
Output at 298 K (25°C)
Scale Factor
DIGITAL OUTPUTS
Output Low Voltage (VOL)
Output High Voltage (VOH)
DIGITAL INPUTS
Input Current
Input Capacitance
VT+
VT−
(VT+) – (VT−)
POWER SUPPLY
Operating Voltage Range
Quiescent Supply Current
TEMPERATURE RANGE
Operating Range
Conditions
Clockwise rotation is positive output (See Figure 5)
Full-scale range over specified operating conditions
Min 1
Typ
Max
Unit
24,428
Best fit straight line
23,488
0.04
°/sec
LSB/°/sec
% of FS
±1σ
1σ
1σ
Power on to ±0.5°/sec of final value, 80 Hz bandwidth
Any axis
VCC = 4.75 V to 5.25 V
±3
0.0016
0.56
35
0.05
0.2
°/sec
°/sec
°/√hr
ms
°/sec/g
°/sec /V
0.0125
°/sec/√Hz
300
14
Hz
kHz
±250
22,548
−3 dB frequency with no external capacitance
ST pins from Logic 0 to Logic 1
Standard high logic level definition
Standard low logic level definition
To GND
65
3.3
75
85
3.13
°/sec
V
V
kΩ
8,388,608
14,093
LSB
LSB/°C
1.7
0.4
V
V
10
1
2
1.4
0.85
μA
μA
pF
V
V
V
5.25
85
V
mA
+85
°C
4
CS
All others
5
1.4
0.8
0.3
4.75
IOUT = 0 mA, 5 V
–40
1
5.00
73
All minimum and maximum specifications are guaranteed. Typical specifications are not tested or guaranteed.
Dynamic range is the maximum full-scale measurement range possible, including output swing range, initial offset, sensitivity, offset drift, and sensitivity drift at 4.75 V
to 5.25 V supplies.
3
Resulting bias stability is <0.01°/sec.
4
Self-test response varies with temperature, see Figure 12.
2
Rev. 0 | Page 3 of 16
ADIS16130
TIMING SPECIFICATIONS
All input signals are specified with 10% to 90% rise and fall times of less than 5 ns.
Table 2.
Parameter
t1
Min
50
Read Operation
t4
t5 1
0
Typ
Max
Unit
ns
Test Conditions/Comments
SYNC pulse width
ns
0
60
ns
0
50
50
0
10
60
ns
ns
ns
ns
ns
CS falling edge to SCLK falling edge setup time
SCLK falling edge to data valid delay
DVDD of 4.75 V to 5.25 V
CS falling edge to data valid delay
DVDD of 4.75 V to 5.25 V
SCLK high pulse width
SCLK low pulse width
CS rising edge after SCLK rising edge hold time
Bus relinquish time after SCLK rising edge
ns
ns
ns
ns
ns
ns
CS falling edge to SCLK falling edge setup
Data valid to SCLK rising edge setup time
Data valid after SCLK rising edge hold time
SCLK high pulse width
SCLK low pulse width
CS rising edge after SCLK rising edge hold time
t5A1, 2
t6
t7
t8
t9 3
Write Operation
t11
t12
t13
t14
t15
t16
0
30
25
50
50
0
80
1
These numbers are measured with the load circuit shown in Figure 4 and defined as the time required for the output to cross the VOL or VOH limits.
This specification is relevant only if CS goes low while SCLK is low.
3
These numbers are derived from the measured time taken by the data output to change 0.5 V when loaded with the circuit shown in Figure 4. The measured number
is then extrapolated back to remove effects of charging or discharging the 50 pF capacitor. Therefore, the times quoted are the true bus relinquish times of the part
and as such are independent of external bus loading capacitances.
2
Rev. 0 | Page 4 of 16
ADIS16130
CS
t11
t14
t16
SCLK
t15
t12
SDI
MSB
07238-002
t13
LSB
Figure 2. Input Timing for Write Operation
CS
t4
t8
t6
SCLK
t5
t7
MSB
LSB
Figure 3. Output Timing for Read Operation
ISINK (800µA AT DVDD = 5V
100µA AT DVDD = 3V)
TO OUTPUT
PIN
1.6V
50pF
ISOURCE (200µA AT DVDD = 5V
100µA AT DVDD = 3V)
07328-024
SDO
Figure 4. Load Circuit for Access Time and Bus Relinquish Time
Rev. 0 | Page 5 of 16
07238-003
t9
t5A
ADIS16130
ABSOLUTE MAXIMUM RATINGS
THERMAL RESISTANCE
Table 3.
Parameter
Acceleration (Any Axis, Unpowered, 0.5 ms)
Acceleration (Any Axis, Powered, 0.5 ms)
+VS
Output Short-Circuit Duration
(Any Pin to Common)
Operating Temperature Range
Storage Temperature Range
Rating
2000 g
2000 g
−0.3 V to +6.0 V
Indefinite
The ADIS16130 provides a temperature output that is
representative of the junction temperature. This can be used
for system-level monitoring and power management/thermal
characterization.
−40°C to +85°C
−65°C to +150°C
Package Type1
24-Lead Module
Table 4. Thermal Characteristics
1
θJA
15.7
θJC
1.48
Unit
°C/W
Weight = 28.5 g typical.
Stresses above those listed under Absolute Maximum Ratings
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.
RATE
AXIS
POSITIVE
ROTATION
DIRECTION
+
07238-026
Dropping the device onto a hard surface may cause a shock of
greater than 2000 g and exceed the absolute maximum rating of
the device. Care should be exercised when handling the device
to avoid damage.
Figure 5. Rotational Measurement Orientation
ESD CAUTION
Rev. 0 | Page 6 of 16
ADIS16130
PIN CONFIGURATION AND FUNCTION DESCRIPTIONS
ADIS16130
ST
ST
CS
RDY
SDO
SDI
SCLK
SYNC
GND
GND
ROA2
4
6
8
10
12
14
16
18
20
22
24
1
3
5
7
9
11
13
15
17
19
21
23
ST
ST
ST
ST
VCC
VCC
VCC
GND
GND
GND
ROA1
Figure 6. Pin Configuration, Top View
Table 5. Pin Function Descriptions
Pin No.
1 to 7, 9
8
10
11, 13, 15
12
14
16
17, 19 to 22
18
23
24
Mnemonic
ST
CS
RDY
VCC
SDO
SDI
SCLK
GND
SYNC
ROA1
ROA2
Description
Self-Test (see the Self-Test Function section)
Chip Select of the SPI
Data Ready
Power Supply
Data Output of the SPI
Data Input of the SPI
Serial Clock of the SPI
Power Supply Ground
Synchronization Input
Analog Filter Node 1
Analog Filter Node 2
Rev. 0 | Page 7 of 16
07328-004
ST
2
ST
TOP VIEW
(Not to Scale)
ADIS16130
TYPICAL PERFORMANCE CHARACTERISTICS
2.5
0.010
2.0
σ
0.5
0
µ
–0.5
–1.0
σ
07328-018
–1.5
–2.0
–2.5
–60
–40
–20
0
20
40
60
80
100
µ+σ
µ
07328-021
1.0
ROOT ALLEN VARIANCE (°/sec)
BIAS SHIFT (°/sec)
1.5
µ–σ
0.001
1
120
10
TEMPERATURE (°C)
100
1000
τ (sec)
Figure 7. Bias Shift vs. Temperature, VCC = 5 V
Figure 10. Root Allen Variance, VCC = 5 V, 25°C
1.00
2.0
0.25
0
–0.25
–0.50
–1.00
–60
07328-019
–0.75
–40
–20
0
20
40
60
80
100
1.0
0
–1.0
–2.0
120
07328-022
0.50
SENSITIVITY ERROR (%)
SENSITIVITY ERROR (%)
0.75
0
50
100
TEMPERATURE (°C)
150
200
250
300
350
400
ANGULAR RATE (°/sec)
Figure 8. Sensitivity Error vs. Temperature, VCC = 5 V
Figure 11. Sensitivity Error vs. Angular Rate, VCC = 5 V, 25°C
0.05
90
SELF-TEST RESPONSE (°/sec)
–0.05
–0.10
80
75
70
–0.15
4.75
5.0
60
–60
5.25
POWER SUPPLY (V)
07328-023
65
07328-020
SENSITIVITY ERROR (%)
85
0
–40
–20
0
20
40
60
80
100
TEMPERATURE (°C)
Figure 9. Sensitivity Error vs. Power Supply, 25°C
Figure 12. Self-Test Response vs. Temperature, VCC = 5 V
Rev. 0 | Page 8 of 16
120
ADIS16130
BASIC OPERATION
The ADIS16130 produces digital angular rate (RATE) and
temperature (TEMP) data. The digital communication employs
a simple 4-wire SPI, which provides access to output data and
several configuration features. A set of communication and
configuration registers govern the operation in the ADIS16130.
See Table 8 for a summary of these registers.
GETTING STARTED QUICKLY
The ADIS16130 SPI operates in 8-bit segments. The first byte of
a SPI sequence goes into the COM register, which contains the
read/write control bit and the address of the target register. When
writing information into control registers, the next byte contains
the configuration information. When reading output data, the
next one to three bytes contain the contents of the register selected.
Figure 13 provides an example read sequence, and Table 2 and
Figure 3 provide critical timing details for the output signal.
The first byte of the sequence uses SDI to establish a read of the
RATE output register. This is accomplished by writing 0x48 to the
COM register.
The most significant byte is first in the SDO sequence, followed
by the next significant, and then the least significant. When 16-bit
resolution is in use, only two bytes are output from the SDO during
the read sequence.
CS
SCLK
SDO
SDI
Configuration Sequence
Table 6. Configuration Sequence
SDI1
0x01
0x38
Register
COM
IOP
3
0x28
COM
4
0x0A
RATECS
5
0x30
COM
6
7
0x05
0x2A
RATECONV
COM
8
0x0A
TEMPCS
9
0x32
COM
10
11
0x05
0x38
TEMPCONV
COM
12
0x22
MODE
1
DATA
Purpose
Start a write sequence for IOP.
Configure the data-ready signal to
pulse low when the RATEDATA and
TEMPDATA output registers
contain new data. The data-ready
signal goes high after reading
either of these registers.
Start a write sequence for the
RATECS register.
Enable and configure the
gyroscope data channel.
Start a write sequence for
RATECONV register.
Initialize the RATE conversion.
Start a write sequence for the
TEMPCS register.
Enable and configure the
temperature data channel.
Start a write sequence for
TEMPCONV.
Initialize the TEMP conversion.
Start a write sequence for the
MODE register.
Establish the data output
resolution to 24 bits and start the
conversion process with the
RATEDATA channel.
DATA
07328-005
RDY
The sequence in Table 6 provides the recommended configuration
sequence. Table 2 and Figure 2 provide the timing information
for each segment of this configuration sequence.
Step
1
2
DATA
0x48
Figure 13. Read Sequence Example
The data-ready signal, RDY, indicates that unread data is
available on both RATE and TEMP output registers. After the
RATE or TEMP channel is read, the signal returns high, as
shown in Figure 13. The RATE and TEMP channels update
sequentially, and each has a sample rate of 5.7 kSPS. The
internal sample rate is not dependent on the SPI signals or read
rates. Using the data-ready signal to drive data collection helps
avoid losing data due to data collision, which is when a userdriven read cycle coincides with the internal update time. In
this case, the old data remains and the new data is lost.
If a lower sample rate meets system-level requirements, the
data-ready signal can still be useful in facilitating SPI read
sequences. In this case, the data-ready signal pulses high for
approximately 26 μs before returning low and then repeats this
pattern at two times the internal sample rate. This signal can
feed a counter circuit (or firmware), which drives a processor
interrupt routine at a reduced sample rate.
Reading TEMP Output Data
Reading TEMP data requires a sequence that is very similar to
that of Figure 13, except that the initial SDI sequence must be
changed from 0x48 to 0x4A. If the TEMP data is not used, Step 7
to Step 10 of the configuration sequence are not required.
The SDI column lists the hexadecimal code representation of the SDI bit
input sequence.
Reading RATE Output Data
After the configuration sequence in Table 6 is complete, reading the
output data is very simple. The ADIS16130 converts the RATE
and TEMP data continuously. To better understand this process,
Rev. 0 | Page 9 of 16
CONFIGURATION OPTIONS
Synchronization Input
327Hz
The self-test function enables system-level diagnostic checks for the
entire ADIS16130 sensor/signal conditioning circuit. To activate
the self-test function, there must be a logic high signal on all
ST pins (see Table 5). When activated, the self-test function results
in a rate measurement shift. By comparing the observed shift
with the limits specified in this data sheet, users can determine
the pass/fail criteria for system-level diagnostic routines.
For normal gyroscope operation, place a logic low input on
all ST pins. For systems that do not require this feature, tie all
ST pins to GND.
Analog Bandwidth
The typical −3 dB cutoff frequency for the ADIS16130 is
300 Hz, which is the combined response of two single-pole
filters, as shown in Figure 14. Pin ROA1 and Pin ROA2 provide
the opportunity for further bandwidth reduction in the first
filter stage, as shown in the following relationship:
f −3dB =
1
2 × π × R × (C + C ext )
where:
R = 25 kΩ.
C = 6800 pF.
Cext is as defined in Figure 15 and Table 7.
The relationship between the −3 dB cutoff frequency and the
external capacitance of the ADIS16130 is shown in Table 7 and
Figure 15.
–1
Cext = 0.15µF
–2
–3
Cext = 0µF
–4
–5
–6
–7
–8
07328-007
Self-Test Function
Figure 14. Frequency Response Block Diagram
0
AMPLITUDE (dB)
The SYNC pin can be used to synchronize the ADIS16130 with
other devices in the system. When the SYNC bit in the I/O port
register (IOP) is set and the SYNC pin is low, the ADIS16130
does not process any conversions. Instead, it waits until the
SYNC pin goes high, and then starts the operation. This allows
the conversion to start from a known point in time (for example,
the rising edge of the SYNC pin).
ADC
1kHz
07328-006
ADIS16130
–9
–10
1
10
100
1k
10k
FREQUENCY (Hz)
Figure 15. Frequency Response: Cext = 0 μF vs. Cext = 0.15 μF
Table 7. Nominal Bandwidth for Standard Capacitor Values
Cext (pF)
1000
1200
1500
1800
2200
2700
3300
3900
4300
4700
5100
5600
6200
7500
8200
9100
Rev. 0 | Page 10 of 16
BW (Hz)
276.8
274.4
270.9
267.5
263.1
257.7
251.6
245.8
242.1
238.4
234.9
230.7
225.8
215.8
210.8
204.7
Cext (pF)
10,000
12,000
15,000
18,000
22,000
27,000
33,000
39,000
43,000
47,000
51,000
56,000
62,000
75,000
82,000
91,000
BW (Hz)
198.9
187.2
172.1
159.2
144.7
129.9
115.7
104.4
97.9
92.3
87.2
81.6
75.8
65.6
61.2
56.3
Cext (pF)
100,000
120,000
150,000
180,000
220,000
270,000
330,000
390,000
430,000
470,000
510,000
560,000
620,000
750,000
820,000
910,000
BW (Hz)
52.2
44.8
37.0
31.5
26.3
21.8
18.1
15.5
14.1
12.9
12.0
10.9
9.9
8.2
7.6
6.8
ADIS16130
CONTROL REGISTERS
Table 8. Register Descriptions
Name
COM
IOP
RATEDATA
TEMPDATA
RATECS
TEMPCS
RATECONV
TEMPCONV
MODE
Address
0x00
0x01
0x02 to 0x07
0x08
0x0A
0x10 to 0x22
0x28
0x2A
0x30
0x32
0x33 to 0x37
0x38
Type
W
R/W
R
R
R/W
R/W
R/W
R/W
R/W
Purpose
Facilitate communications in the SPI port (see Table 9)
Data-ready and synchronization controls (see Table 10)
Reserved
Gyroscope output, rate of rotation (see Figure 13)
Temperature output (see Figure 13)
Reserved
Gyroscope channel setup (see Table 11)
Temperature channel setup (see Table 12)
Gyroscope conversion time control (see Table 13)
Temperature conversion time control (see Table 13)
Reserved
Resolution mode control (see Table 14)
CONTROL REGISTER DETAILS
Table 9. COM Register Bit Assignments
Table 12. TEMPCS Register Bit Assignments
Bit
[7]
[6]
Bit
[7:4]
[3]
[5:0]
Description
0
1 = read;
0 = write
Register address
[2:0]
Description
0000
1 = channel enable;
0 = channel disable
010
Table 10. IOP Register Bit Assignments
Table 13. RATECONV/TEMPCONV Bit Assignments
Bit
[7:4]
[3]
Bit
[7:0]
[2:1]
[0]
Description
0011
1 = data-ready signal low when unread data on all channels;
0 = data-ready signal low when unread data on one channel
00
0 = synchronization disabled;
1 = synchronization enabled
Table 11. RATECS Register Bit Assignments
Bit
[7:4]
[3]
[2:0]
Description
00000101
Table 14. MODE Register Bit Assignments
Bit
[7:2]
[1]
[0]
Description
0000
1 = channel enable;
0 = channel disable
010
Rev. 0 | Page 11 of 16
Description
001000
1 = 24-bit resolution;
0 = 16-bit resolution
0
ADIS16130
APPLICATIONS INFORMATION
31.200 BSC
ACHIEVING OPTIMAL NOISE PERFORMANCE
15.600 BSC
Several system-level considerations can have an impact on the
noise and accuracy of the ADIS16130. Understanding and
managing these factors can influence the behavior of any high
performance system.
2x 0.560 BSC
ALIGNMENT HOLES
FOR MATING SOCKET
39.60 BSC
19.800 BSC
The ADIS16130 provides approximately 1.8 μF of decoupling
capacitance. This capacitance is distributed throughout the
device and should be taken into account when considering
potential noise threats on the power supply lines.
17.520
2.280
Bandwidth Setting
4x 2.500 BSC
If COUT is applied to reduce the bandwidth of the ADIS16130
response, it should be placed close to the device. Long cable
leads and PCB traces increase the risk of introducing noise into
the system.
07238-025
Supply and Common Considerations
5.00 BSC
5.00 BSC
Figure 16. Suggested Hole Pattern for Mounting
SECOND-LEVEL ASSEMBLY
Figure 16 provides a suggested design for the ADIS16130’s
mechanical attachment. The hole pattern shown in Figure 16
can support either mounting approach and enables the integration
of the mating socket layout, which is illustrated in Figure 17.
The mating socket layout uses the Samtec CLM-112-02 family of
connectors. The 24 holes that are inside the pad accommodate the
pins on the ADIS16130, which can extend beyond the package
body. The stress relief provided by these holes is important for
maintaining reliability and optimal bias stability performance.
0.4334 [11.0]
0.019685
[0.5000]
(TYP)
0.0240 [0.610]
0.054 [1.37]
0.0394 [1.00] 0.1800
[4.57]
0.022±
DIA (TYP)
NONPLATED
0.022 DIA THRU HOLE (TYP)
THRU HOLE 2×
NONPLATED THRU HOLE
Rev. 0 | Page 12 of 16
0.0394 [1.00]
Figure 17. Mating Socket Recommended Pad Layout, with
Dimensions Shown in Inches (Millimeters)
07328-017
The ADIS16130 package supports two mounting approaches:
a bulkhead mount, where the interface is separate from the
attachment surface, and a PCB mount, which provides the
mechanical and electrical connections on the same surface.
ADIS16130
OUTLINE DIMENSIONS
35.854
35.600
35.346
31.350
31.200
31.050
15.700
15.600
15.500
2.200
TYP
2.400 THRU HOLE
(4 PLACES)
44.254
44.000
43.746
17.670
17.520
17.370
39.750
39.600
39.450
19.900
19.800
19.700
TOP VIEW
14.054
13.800
13.546
2.200 TYP
END VIEW
3.27
3.07
2.87
1.00 BSC
(LEAD PITCH)
0.30 BSC SQ
(PIN SIZE)
010908-A
5.50 BSC
Figure 18. PCB Module with Connector Interface
(ML-24-3)
Dimensions shown in millimeters
ORDERING GUIDE
Model
ADIS16130AMLZ 1
1
Temperature Range
−40°C to +105°C
Package Description
PCB Module with Connector Interface
Z = RoHS Compliant Part.
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Package Option
ML-24-3
ADIS16130
NOTES
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ADIS16130
NOTES
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ADIS16130
NOTES
©2008 Analog Devices, Inc. All rights reserved. Trademarks and
registered trademarks are the property of their respective owners.
D07238-0-1/08(0)
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