ADXL210_15 [ADI]

Accelerometers with Digital Output;
ADXL210_15
型号: ADXL210_15
厂家: ADI    ADI
描述:

Accelerometers with Digital Output

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Low Cost ؎2 g/؎10 g Dual Axis  
iMEMS® Accelerometers  
with Digital Output  
a
ADXL202/ADXL210  
GENERAL DESCRIPTION  
FEATURES  
The ADXL202/ADXL210 are low cost, low power, complete  
2-axis accelerometers with a measurement range of either  
±2 g/±10 g. The ADXL202/ADXL210 can measure both dy-  
namic acceleration (e.g., vibration) and static acceleration (e.g.,  
gravity).  
2-Axis Acceleration Sensor on a Single IC Chip  
Measures Static Acceleration as Well as Dynamic  
Acceleration  
Duty Cycle Output with User Adjustable Period  
Low Power <0.6 mA  
Faster Response than Electrolytic, Mercury or Thermal  
Tilt Sensors  
Bandwidth Adjustment with a Single Capacitor Per Axis  
5 mg Resolution at 60 Hz Bandwidth  
+3 V to +5.25 V Single Supply Operation  
1000 g Shock Survival  
The outputs are digital signals ose duty cycles (ratio of pulse-  
width to period) are proportnal to te acceleration in each of  
the 2 sensitive axes. These tputs ay be measured directly  
with a microprocessor ounteuiring nA/D converter or  
glue logic. The outpperiod is ustafrom 0.5 ms to 10 ms  
via a single resisET). If a voe output is desired, a  
voltage output roportal to acceleration is available from the  
XFILT and YILT pins, or be reconstructed by filtering the  
duty cycloutputs.  
APPLICATIONS  
2-Axis Tilt Sensing  
Computer Peripherals  
Inertial Navigation  
Seismic Monitoring  
The dwidtof the ADXL202/ADXL210 may be set from  
0.01 Hz kHz via pacitors CX and CY. The typical noise  
floor is 50g/Hz lowing signals below 5 mg to be resolved  
for bandwidtow 60 Hz.  
Vehicle Security Systems  
Battery Powered Motion Sensing  
The ADXL202/ADXL210 is available in a hermetic 14-lead  
rface Munt CERPAK, specified over the 0°C to +70°C  
coial or –40°C to +85°C industrial temperature range.  
FUNCK DIAGRAM  
+3.0V TO +
C
X
SELF TEST  
X
FILT  
V
D
D  
ADXL202/  
ADXL210  
X SENSO
R
FILT  
32k  
X OUT  
DEMOD  
DEMOD  
C
O
U
N
T
E
R
DUTY  
CYCLE  
MODULATOR  
(DCM)  
P  
ILLATOR  
Y SENSOR  
R
FILT  
32k⍀  
Y OUT  
Y
T2  
FILT  
COM  
R
SET  
C
Y
T2  
T1  
A(g) = (T1/T2 – 0.5)/12.5%  
0g = 50% DUTY CYCLE  
T2 = R  
/125M⍀  
SET  
i
MEMS is a registered trademark of Analog Devices, Inc.  
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.  
AIN2 =  
One Technology Way, P.O. Box 9106, Norwood, MA 02062-9106, U.S.A.  
Tel: 781/329-4700  
Fax: 781/326-8703  
World Wide Web Site: http://www.analog.com  
© Analog Devices, Inc., 1999  
(TA = TMIN to TMAX, TA = +25؇C for J Grade only, VDD = +5 V,  
SET = 125 k, Acceleration = 0 g, unless otherwise noted)  
ADXL202/ADXL210–SPECIFICATIONS R  
ADXL202/JQC/AQC  
ADXL210/JQC/AQC  
Parameter  
Conditions  
Min  
Typ Max  
Min  
Typ  
Max  
Units  
SENSOR INPUT  
Measurement Range1  
Nonlinearity  
Each Axis  
±1.5  
±2  
0.2  
±1  
±0.01  
±2  
±8  
±10  
0.2  
±1  
±0.01  
±2  
g
Best Fit Straight Line  
X Sensor to Y Sensor  
% of FS  
Degrees  
Degrees  
%
Alignment Error2  
Alignment Error  
Transverse Sensitivity3  
SENSITIVITY  
Each Axis  
Duty Cycle per g  
T1/T2 @ +25°C  
At Pins XFILT, YFILT  
from +25°C  
10  
25  
12.5 15  
312  
±0.5  
3.2  
42  
4.0  
100  
±0.5  
4.8  
%/g  
mV/g  
% Rdg  
Sensitivity, Analog Output  
Temperature Drift4  
ZERO g BIAS LEVEL  
0 g Duty Cycle  
Each Axis  
T1/T2  
50  
75  
50  
58  
%
Initial Offset  
±2  
1.0  
2.0  
0  
g
0 g Duty Cycle vs. Supply  
4.0  
0  
%/V  
mg/°C  
0 g Offset vs. Temperature4  
from +25°C  
@ +25°C  
NOISE PERFORMANCE  
Noise Density5  
500  
00  
500  
1000  
µg/Hz  
FREQUENCY RESPONSE  
3 dB Bandwidth  
3 dB Bandwidth  
Duty Cycle Output  
At Pins XFILT, YFILT  
5
5
10  
500  
5
14  
Hz  
kHz  
kHz  
Sensor Resonant Frequency  
FILTER  
RFILT Tolerance  
Minimum Capacitance  
32 kNominal  
At XFILT, YFILT  
±15  
±15  
%
pF  
1000  
1000  
0.7  
SELF TEST  
Duty Cycle Change  
Self-Test “0” to “1”  
10  
10  
%
DUTY CYCLE OUTPUT STAGE  
FSET  
FSET Tolerance  
Output High Voltage  
Output Low Voltage  
T2 Drift vs. Temperature  
Rise/Fall Time  
25 M/RSET  
125 M/RSET  
RSET = 5 kΩ  
I = 25 µ
I = 25 µA  
0.7  
1.3  
1.3  
kHz  
mV  
mV  
ppm/°C  
ns  
VS – 200 mV  
VS – 200 mV  
200  
200  
35  
200  
35  
200  
POWER SUPPLY  
Operating Voltage Range  
Specified Performance  
Quiescent Supply Cu
Turn-On Time6  
3.0  
4.75  
5.25  
5.25  
1.0  
2.7  
4.75  
5.25  
5.25  
1.0  
V
V
mA  
ms  
0.6  
0.6  
To 99%  
160 CFILT + 0.3  
160 CFILT + 0.3  
TEMPERATURE RAN
Operating Range  
Specified Performance  
JQC  
AQC  
0
–40  
+70  
+85  
0
–40  
+70  
+85  
°C  
°C  
NOTES  
1For all combinations of offset and sensitivity variation.  
2Alignment error is specified as the angle between the true and indicated axis of sensitivity.  
3Transverse sensitivity is the algebraic sum of the alignment and the inherent sensitivity errors.  
4Specification refers to the maximum change in parameter from its initial at +25°C to its worst case value at TMIN to TMAX  
5Noise density (µg/Hz) is the average noise at any frequency in the bandwidth of the part.  
.
6CFILT in µF. Addition of filter capacitor will increase turn on time. Please see the Application section on power cycling.  
All min and max specifications are guaranteed. Typical specifications are not tested or guaranteed.  
Specifications subject to change without notice.  
REV. B  
–2–  
ADXL202/ADXL210  
PIN CONFIGURATION  
ABSOLUTE MAXIMUM RATINGS*  
Acceleration (Any Axis, Unpowered for 0.5 ms) . . . . . . 1000 g  
Acceleration (Any Axis, Powered for 0.5 ms) . . . . . . . . . 500 g  
+VS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . –0.3 V to +7.0 V  
Output Short Circuit Duration  
(Any Pin to Common) . . . . . . . . . . . . . . . . . . . . . . Indefinite  
Operating Temperature . . . . . . . . . . . . . . . . . –55°C to +125°C  
Storage Temperature . . . . . . . . . . . . . . . . . . . –65°C to +150°C  
1
2
3
4
5
6
7
14  
13  
12  
11  
10  
9
NC  
V
V
X
Y
X
Y
DD  
ADXL202/  
ADXL210  
V
TP  
DD  
ST  
FILT  
FILT  
OUT  
OUT  
TOP VIEW  
(Not to Scale)  
COM  
T2  
A
X
NC  
*Stresses above those listed under Absolute Maximum Ratings may cause perma-  
nent damage to the device. This is a stress rating only; the functional operation of  
the device at these or any other conditions above those indicated in the operational  
sections of this specification is not implied. Exposure to absolute maximum rating  
conditions for extended periods may affect device reliability.  
NC  
COM  
8
A
Y
NC = NO CONNECT  
Figure 1 shows the response ohe ADXL202 to the Earth’s  
gravitational field. The outpvalues hown are nominal. They  
are presented to show the uwhtype of response to expect  
from each of the outppins do chanin orientation with  
respect to the Earthe ADXLrets similarly with out-  
put changes appprito its scale.  
Drops onto hard surfaces can cause shocks of greater than 1000 g  
and exceed the absolute maximum rating of the device. Care  
should be exercised in handling to avoid damage.  
PIN FUNCTION DESCRIPTIONS  
TYOUTPUT AT PIN:  
9 = UTY CYCLE  
10 = 6% DUTY CYCLE  
11 = 2.5V  
Pin  
Name  
Description  
1
NC  
No Connect  
12 = 2.188V  
2
3
VTP  
ST  
Test Point, Do Not Connect  
Self Test  
4
5
6
COM  
T2  
NC  
Common  
Connect RSET to Set T2 Period  
No Connect  
TYPICAL OUTPUT AT PIN:  
9 = 62.5% DUTY CYCLE  
10 = 50% DUTY CYCLE  
11 = 2.188V  
YPICAL OUTPT PIN:  
37.5% DCYCLE  
50% Y CYCLE  
1
7
8
COM  
NC  
Common  
No Connect  
12 = 2.5V  
12
9
YOUT  
XOUT  
YFILT  
XFILT  
VDD  
VDD  
Y Axis Duty Cycle Ou
X Axis Duty Cycle Ou
Connect Capacitor for
Connect Capitr for X F
+3 V to +55 V, Coect to 14  
+3 V to +5Vonneto 13  
10  
11  
12  
13  
14  
1g  
TYPICAL OUTPUT AT PIN:  
9 = 50% DUTY CYCLE  
10 = 37.5% DUTY CYCLE  
11 = 2.5V  
12 = 2.812V  
EARTH'S SURFACE  
PACKAGE CHARACTERIST
Package  
Device Weight  
JA  
Figure 1. ADXL202/ADXL210 Nominal Response Due to  
Gravity  
14-Lead CERPAK  
110°C/W  
5 Grams  
ORDERING GUIDE  
g
Temperature  
Range  
Package  
Description  
Package  
Option  
del  
Range  
ADXL202JQC  
ADXL202AQC  
ADXL210JQC  
ADXL210AQC  
±2  
±2  
±10  
±10  
0°C to +70°C  
–40°C to +85°C  
0°C to +70°C  
–40°C to +85°C  
14-Lead CERPAK  
14-Lead CERPAK  
14-Lead CERPAK  
14-Lead CERPAK  
QC-14  
QC-14  
QC-14  
QC-14  
CAUTION  
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 ADXL202/ADXL210 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.  
WARNING!  
ESD SENSITIVE DEVICE  
REV. B  
–3–  
ADXL202/ADXL210  
TYPICAL CHARACTERISTICS  
(@ +25؇C RSET = 125 k, VDD = +5 V, unless otherwise noted)  
1.06  
4%  
3%  
1.04  
1.02  
2%  
1%  
1.00  
0.98  
0%  
–1%  
–2%  
–3%  
–4%  
0.96  
0.94  
–45  
–30  
–15  
0
15  
30  
45  
60  
75  
90  
–40  
2
85  
TEMPERATUC  
TEMPERATURE – ؇C  
Figure 2. Normalized DCM Period (T2) vs. Temperature  
Figure 5. Typal X is Sensitivity Drift Due to  
Temperate  
0.8  
0.6  
3
g
0.4  
C
= 0.01F  
FILT  
2
1
0
0.2  
0
–0.2  
g
–0.4  
–0.6  
–0.8  
0
0.4  
0.8  
1.2  
1.4  
–40 –30 –20 –10  
0
10 20 30 60 70 80 90  
TEMPERAT
FREQUENCY – ms  
Figure 6. Typical Turn-On Time  
Figure 3. Typical Zero g erature  
20  
18  
16  
14  
12  
10  
8
0.7  
0.6  
V
V
= 5 VDC  
S
0.5  
0.4  
0.3  
0.2  
0.1  
0
= 3.5 VDC  
S
6
4
2
0
–40  
–20  
0
20  
40  
60  
80  
100  
–0.87g –0.64g –0.41g –0.17g 0.06g 0.29g  
0.52g 0.75g  
TEMPERATURE – ؇C  
g/DUTY CYCLE OUTPUT  
Figure 7. Typical Zero g Distribution at +25°C  
Figure 4. Typical Supply Current vs. Temperature  
REV. B  
–4–  
ADXL202/ADXL210  
9
8
7
6
5
4
3
2
1
14  
12  
10  
8
T2 = 1ms  
C
= 0.01F  
FILT  
BW = 500Hz  
C
= 0.047F  
BW = 100Hz  
FILT  
g
C
= 0.1F  
FILT  
BW = 50Hz  
6
C
= 0.47F  
FILT  
BW = 10Hz  
4
2
0
11.3  
0
11.5 11.7 11.9 12.2 12.4 12.6 12.8 13.1 13.3 13.5 13.7  
DUTY CYCLE OUTPUT – % per g  
1
4
16  
64  
NUMBF AVGE SAMPLES  
Figure 8. Typical Sensitivity per g at +25°C  
Figure 10. pical Ne at Dtal Outputs  
20  
1
16  
12  
10  
8
14  
12  
10  
8
g
6
6
4
4
2
2
0
0
0.01F  
0.047F  
0.1F  
0.47
500Hz  
100Hz  
50H
10Hz  
C , C  
X
Y
DEGREES OF MISALIGNMENT  
BANDWIDTH  
Figure 9. Typical Noisat XFILT Output  
Figure 11. Rotational Die Alignment  
REV. B  
–5–  
ADXL202/ADXL210  
DEFINITIONS  
APPLICATIONS  
POWER SUPPLY DECOUPLING  
T1  
Length of the “on” portion of the cycle.  
For most applications a single 0.1 µF capacitor, CDC, will ad-  
equately decouple the accelerometer from signal and noise on  
the power supply. However, in some cases, especially where digital  
devices such as microcontrollers share the same power supply, digi-  
tal noise on the supply may cause interference on the ADXL202/  
ADXL210 output. This is often observed as a slowly undulating  
fluctuation of voltage at XFILT and YFILT. If additional decou-  
pling is needed, a 100 (or smaller) resistor or ferrite beads,  
may be inserted in the ADXL202/ADXL210’s supply line.  
T2  
Length of the total cycle.  
Duty Cycle Ratio of the “on” time (T1) of the cycle to the total  
cycle (T2). Defined as T1/T2 for the ADXL202/  
ADXL210.  
Pulsewidth Time period of the “on” pulse. Defined as T1 for  
the ADXL202/ADXL210.  
THEORY OF OPERATION  
The ADXL202/ADXL210 are complete dual axis acceleration  
measurement systems on a single monolithic IC. They contain a  
polysilicon surface-micromachined sensor and signal condition-  
ing circuitry to implement an open loop acceleration measure-  
ment architecture. For each axis, an output circuit converts the  
analog signal to a duty cycle modulated (DCM) digital signal  
that can be decoded with a counter/timer port on a micropro-  
cessor. The ADXL202/ADXL210 are capable of measuring  
both positive and negative accelerations to a maximum level of  
±2 g or ±10 g. The accelerometer measures static acceleration  
forces such as gravity, allowing it to be used as a tilt sensor.  
DESIGN PROCEDURE FOR THE DXL202/ADXL210  
The design procedure for using thADXL202/ADXL210 with a  
duty cycle output involves seleg a ducycle period and a  
filter capacitor. A proper deign wte into aount the appli-  
cation requirements for bdwidth, nal reution and acqui-  
sition time, as discussethe followintions.  
VDD  
The ADXL202DXL210 havwo power supply (VDD) Pins:  
13 and 14. Tse two pins should e connected directly together.  
COM  
The sensor is a surface micromachined polysilicon structure  
built on top of the silicon wafer. Polysilicon springs suspend the  
structure over the surface of the wafer and provide a resistance  
against acceleration forces. Deflection of the structure is mea-  
sured using a differential capacitor that consists of independent  
fixed plates and central plates attached to the moving mass. The  
fixed plates are driven by 180° out of phase square waves. A
acceleration will deflect the beam and unbalance the diffe
capacitor, resulting in an output square wave whose amp
is proportional to acceleration. Phase sensitive demodulat
techniques are then used to rectify the signal and rmine
direction of the acceleration.  
The ADXL2DXL21ave two commons, Pins 4 and 7.  
These two pins ould connected directly together and Pin 7  
grounded.  
VT
This is to left open; make no connections of any kind to  
is pin
oupling Capacitor CDC  
µF capacitor is recommended from VDD to COM for  
er supply decoupling.  
ST  
The ST pin controls the self-test feature. When this pin is set to  
VDD, an electrostatic force is exerted on the beam of the acceler-  
ometer. The resulting movement of the beam allows the user to  
test if the accelerometer is functional. The typical change in  
output will be 10% at the duty cycle outputs (corresponding to  
800 mg). This pin may be left open circuit or connected to  
common in normal use.  
The output of the demodulator drives a duty cle dula
(DCM) stage through a 32 kresistor. At this point a pin i
available on each channel to allow tho set the sign
bandwidth of the device by adding r. This filtering  
improves measurement resolutiont aliasing.  
After being low-pass filtered, the anaconverted to a  
duty cycle modulated sige DC. A single resistor  
sets the period for a cT2), hich can be set be-  
tween 0.5 ms and 10 2). A 0 g acceleration  
produces a nominally e. The acceleration signal  
can be determined by he length of the T1 and T2  
pulses with a counter/timer or with a polling loop using a low  
cost microcontroller.  
Duty Cycle Decoding  
The ADXL202/ADXL210’s digital output is a duty cycle modu-  
lator. Acceleration is proportional to the ratio T1/T2. The  
nominal output of the ADXL202 is:  
0 g = 50% Duty Cycle  
Scale factor is 12.5% Duty Cycle Change per g  
The nominal output of the ADXL210 is:  
0 g = 50% Duty Cycle  
An analog output voltage can be obtained either by buffering the  
signal from the XFILT and YFILT pin, or by passing the duty cycle  
signal through an RC filter to reconstruct the dc value.  
Scale factor is 4% Duty Cycle Change per g  
The ADXL202/ADXL210 will operate with supply voltages as  
low as 3.0 V or as high as 5.25 V.  
These nominal values are affected by the initial tolerance of the  
device including zero g offset error and sensitivity error.  
T2  
T2 does not have to be measured for every measurement cycle.  
It need only be updated to account for changes due to tempera-  
ture, (a relatively slow process). Since the T2 time period is  
shared by both X and Y channels, it is necessary only to mea-  
sure it on one channel of the ADXL202/ADXL210. Decoding  
algorithms for various microcontrollers have been developed.  
Consult the appropriate Application Note.  
T1  
A(g) = (T1/T2 – 0.5)/12.5%  
0g = 50% DUTY CYCLE  
T2(s) = R  
()/125M⍀  
SET  
Figure 12. Typical Output Duty Cycle  
REV. B  
–6–  
ADXL202/ADXL210  
+3.0V TO +5.25V  
C
X
SELF TEST  
X
V
FILT  
V
DD  
DD  
ADXL202/  
ADXL210  
X SENSOR  
R
FILT  
32k⍀  
X OUT  
Y OUT  
T2  
DEMOD  
DEMOD  
C
DC  
C
O
U
N
T
E
R
DUTY  
CYCLE  
MODULATOR  
(DCM)  
T1  
P  
OSCILLATOR  
A(g) = (T1/T2 – 0.5)/12.5%  
0g = 50% DUTY CYCLE  
R
FILT  
32k⍀  
T2 = R  
/125M⍀  
SET  
Y SENSOR  
Y
T2  
FILT  
COM  
R
SET  
C
Y
Figure 13. Block Diagram  
Setting the Bandwidth Using CX and CY  
Table II. Reor Values to Set T2  
The ADXL202/ADXL210 have provisions for bandlimiting the  
XFILT and YFILT pins. Capacitors must be added at these pins to  
implement low-pass filtering for antialiasing and noise reduc-  
tion. The equation for the 3 dB bandwidth is:  
2  
RSET  
1 ms  
2
ms  
10 ms  
125 kΩ  
250 kΩ  
625 kΩ  
1.25 MΩ  
1
F–3 dB  
=
2 π (32 k) × C(x, y)  
(
)
Nott the RSET should always be included, even if only an  
analooutput is desired. Use an RSET value between 500 kΩ  
and 2 Mwhen taking the output from XFILT or YFILT. The  
RSET resistor should be place close to the T2 Pin to minimize  
parasitic capacitance at this node.  
5 µF  
C(X,Y )  
F–3 dB  
=
or, more simply,  
The tolerance of the internal resistor (RFILT), cn vary
as ±25% of its nominal value of 32 k; so e bandwidth w
vary accordingly. A minimum capacitancf 100or C(X, Y)  
is required in all cases.  
Selecting the Right Accelerometer  
For most tilt sensing applications the ADXL202 is the most  
appropriate accelerometer. Its higher sensitivity (12.5%/g allows  
the user to use a lower speed counter for PWM decoding while  
maintaining high resolution. The ADXL210 should be used in  
applications where accelerations of greater than ±2 g are expected.  
Table I. Filter Capacition, CCY  
itor  
Bandwidth  
MICROCOMPUTER INTERFACES  
10 Hz  
50 Hz  
100 Hz  
200 Hz  
500 Hz  
5 kHz  
47 µF  
0.10 µF  
0.05 µF  
0.027 µF  
0.01 µF  
0.001 µF  
The ADXL202/ADXL210 were specifically designed to work  
with low cost microcontrollers. Specific code sets, reference  
designs, and application notes are available from the factory.  
This section will outline a general design procedure and discuss  
the various trade-offs that need to be considered.  
The designer should have some idea of the required perfor-  
mance of the system in terms of:  
Setting the DCM Period with RSET  
The period of the DCM output is set for both channels by a  
single resistor from RSET to ground. The equation for the period  
is:  
Resolution: the smallest signal change that needs to be detected.  
Bandwidth: the highest frequency that needs to be detected.  
Acquisition Time: the time that will be available to acquire the  
signal on each axis.  
R
SET ()  
T2 =  
125 MΩ  
These requirements will help to determine the accelerometer  
bandwidth, the speed of the microcontroller clock and the  
length of the T2 period.  
A 125 kresistor will set the duty cycle repetition rate to ap-  
proximately 1 kHz, or 1 ms. The device is designed to operate at  
duty cycle periods between 0.5 ms and 10 ms.  
When selecting a microcontroller it is helpful to have a counter  
timer port available. The microcontroller should have provisions  
for software calibration. While the ADXL202/ADXL210 are  
highly accurate accelerometers, they have a wide tolerance for  
REV. B  
–7–  
ADXL202/ADXL210  
initial offset. The easiest way to null this offset is with a calibra-  
tion factor saved on the microcontroller or by a user calibration  
for zero g. In the case where the offset is calibrated during manu-  
facture, there are several options, including external EEPROM  
and microcontrollers with “one-time programmable” features.  
Table IV gives typical noise output of the ADXL202/ADXL210  
for various CX and CY values.  
Table IV. Filter Capacitor Selection, CX and CY  
Peak-to-Peak Noise  
Estimate 95%  
rms Noise Probability (rms 
؋
 4)  
DESIGN TRADE-OFFS FOR SELECTING FILTER  
CHARACTERISTICS: THE NOISE/BW TRADE-OFF  
The accelerometer bandwidth selected will determine the mea-  
surement resolution (smallest detectable acceleration). Filtering  
can be used to lower the noise floor and improve the resolution  
of the accelerometer. Resolution is dependent on both the ana-  
log filter bandwidth at XFILT and YFILT and on the speed of the  
microcontroller counter.  
Bandwidth CX, CY  
10 Hz  
50 Hz  
100 Hz  
200 Hz  
500 Hz  
0.47 µF  
0.10 µF  
0.05 µF  
0.027 µF 8.7 mg  
0.01 µF 13.7 mg  
1.9 mg  
4.3 mg  
6.1 mg  
7.6 mg  
17.2 mg  
24.4 mg  
35.8 mg  
54.8 mg  
The analog output of the ADXL202/ADXL210 has a typical  
bandwidth of 5 kHz, much higher than the duty cycle stage is  
capable of converting. The user must filter the signal at this  
point to limit aliasing errors. To minimize DCM errors the  
analog bandwidth should be less than 1/10 the DCM frequency.  
Analog bandwidth may be increased to up to 1/2 the DCM  
frequency in many applications. This will result in greater dy-  
namic error generated at the DCM.  
CHOOSING T2 AND COUNTFRQUENCY: DESIGN  
TRADE-OFFS  
The noise level is one dminant of elemeter resolution.  
The second relates to he asurement olution of the  
counter when decoding the y cycle output.  
The ADXL20ADXL210’s dutycle converter has a resolu-  
tion of apprximatel14 bits; better resolution than the acceler-  
ometer itsThe tual resolution of the acceleration signal is,  
however, limiby the tie resolution of the counting devices  
used to decode dutcycle. The faster the counter clock, the  
igher the resolutiof the duty cycle and the shorter the T2  
pod can be for a given resolution. The following table shows  
somf the tre-offs. It is important to note that this is the  
esolutdto the microprocessors’s counter. It is probable  
the acelerometer’s noise floor may set the lower limit on  
esolution, as discussed in the previous section.  
The analog bandwidth may be further decreased to reduce noise  
and improve resolution. The ADXL202/ADXL210 noise has  
the characteristics of white Gaussian noise that contributes  
equally at all frequencies and is described in terms of µg per root  
Hz; i.e., the noise is proportional to the square root of the band-  
width of the accelerometer. It is recommended that the user limi
bandwidth to the lowest frequency needed by the applicati
maximize the resolution and dynamic range of the accelerom
With the single pole roll-off characteristic, the typical nois
the ADXL202/ADXL210 is determined by the follequati
ble V. Trade-Offs Between Microcontroller Counter Rate,  
T2 Period and Resolution of Duty Cycle Modulator  
Noise rms = 500 µg/ Hz  
×
B×
(
)
ADXL202/ Counter-  
ADXL210 Clock  
Counts  
per T2 Counts Resolution  
At 100 Hz the noise will be:  
RSET Sample  
Rate  
T2 (ms) (k) Rate  
(MHz)  
Cycle  
per g  
(mg)  
Noise rms = 500 µg/ Hz  
= 6.12 mg  
(
)
1.0  
124 1000  
124 1000  
124 1000  
625 200  
625 200  
625 200  
1250 100  
1250 100  
1250 100  
2.0  
1.0  
0.5  
2.0  
1.0  
0.5  
2.0  
1.0  
0.5  
2000  
1000  
500  
10000  
5000  
2500  
20000  
10000  
5000  
250  
125  
4.0  
8.0  
16.0  
0.8  
1.6  
3.2  
0.4  
0.8  
1.6  
1.0  
1.0  
Often the peak value of tis desik-to-peak noise  
can only be estimated ethoTable III is useful  
for estimating the proeding various peak values,  
given the rms value.  
62.5  
1250  
625  
312.5  
2500  
1250  
625  
5.0  
5.0  
5.0  
10.0  
10.0  
10.0  
Table III. Estimatof Peak-to-Peak Noise  
% of Time that Noise  
Nominal Peak-to-Peak Will Exceed Nominal  
Value  
Peak-to-Peak Value  
2.0 × rms  
4.0 × rms  
6.0 × rms  
8.0 × rms  
32%  
4.6%  
0.27%  
0.006%  
The peak-to-peak noise value will give the best estimate of the  
uncertainty in a single measurement.  
REV. B  
–8–  
ADXL202/ADXL210  
STRATEGIES FOR USING THE DUTY CYCLE OUTPUT  
WITH MICROCONTROLLERS  
A DUAL AXIS TILT SENSOR: CONVERTING  
ACCELERATION TO TILT  
Application notes outlining various strategies for using the duty  
cycle output with low cost microcontrollers are available from  
the factory.  
When the accelerometer is oriented so both its X and Y axes are  
parallel to the earth’s surface it can be used as a two axis tilt  
sensor with a roll and a pitch axis. Once the output signal from  
the accelerometer has been converted to an acceleration that  
varies between –1 g and +1 g, the output tilt in degrees is calcu-  
lated as follows:  
USING THE ADXL202/ADXL210 AS A DUAL AXIS TILT  
SENSOR  
One of the most popular applications of the ADXL202/ADXL210  
is tilt measurement. An accelerometer uses the force of gravity  
as an input vector to determine orientation of an object in space.  
Pitch = ASIN (Ax/1 g)  
Roll = ASIN (Ay/1 g)  
Be sure to account for overranges. It is possible for the acceler-  
ometers to output a signal greatehan ±1 g due to vibration,  
shock or other accelerations.  
An accelerometer is most sensitive to tilt when its sensitive axis  
is perpendicular to the force of gravity, i.e., parallel to the  
earth’s surface. At this orientation its sensitivity to changes in  
tilt is highest. When the accelerometer is oriented on axis to  
gravity, i.e., near its +1 g or –1 g reading, the change in output  
acceleration per degree of tilt is negligible. When the accelerom-  
eter is perpendicular to gravity, its output will change nearly  
17.5 mg per degree of tilt, but at 45° degrees it is changing only  
at 12.2 mg per degree and resolution declines. The following  
table illustrates the changes in the X and Y axes as the device is  
tilted ±90° through gravity.  
MEASURING 360؇ OF TIL
It is possible to measua full ° of oritation through grav-  
ity by using two acrometers otperpendicular to one  
another (see Fige 1When one nsor is reading a maxi-  
mum change in output degree, the other is at its minimum.  
+90؇  
Y
360؇ OF TILT  
1g  
Y
X
0؇  
1g  
X
–90؇  
X OUTPUT  
PER  
DEGREE OF  
Y OUTPU
Figure 15. Using a Two-Axis Accelerometer to Measure  
360° of Tilt  
X AXIS  
ORIENTATION  
DE
TO HORIZON (؇) X OUTPUT (g) TILT (mg)  
Y UTPUT (g) TILT (mg
–90  
–75  
–60  
–45  
–30  
–15  
0
–1.000  
–0.966  
–0.866  
–0.707  
–0.500  
–0.259  
0.000  
–0.2  
4.4  
0
0.259  
0.500  
0.707  
6  
6  
.000  
0.966  
0.866  
0.707  
0.500  
0.259  
0.000  
7.5  
6.9  
15.2  
12.4  
8.9  
17
16.9  
5.2  
.4  
8.9  
4.7  
0.2  
15  
–4.4  
–8.6  
–12.2  
–15.0  
–16.8  
–17.5  
30  
45  
60  
75  
0.
4.7  
90  
1.000  
0.2  
Figure 14. How the X and Y Axes Respond to Changes in  
Tilt  
REV. B  
–9–  
ADXL202/ADXL210  
USING THE ANALOG OUTPUT  
Power Cycling When Using the Digital Output  
The ADXL202/ADXL210 was specifically designed for use with  
its digital outputs, but has provisions to provide analog outputs  
as well.  
An alternative is to run the microcontroller at a higher clock  
rate and put it into shutdown between readings, allowing the  
use of the digital output. In this approach the ADXL202/  
ADXL210 should be set at its fastest sample rate (T2 = 0.5 ms),  
with a 500 Hz filter at XFILT and YFILT. The concept is to ac-  
quire a reading as quickly as possible and then shut down the  
ADXL202/ADXL210 and the microcontroller until the next  
sample is needed.  
Duty Cycle Filtering  
An analog output can be reconstructed by filtering the duty  
cycle output. This technique requires only passive components.  
The duty cycle period (T2) should be set to 1 ms. An RC filter  
with a 3 dB point at least a factor of 10 less than the duty cycle  
frequency is connected to the duty cycle output. The filter resis-  
tor should be no less than 100 kto prevent loading of the  
output stage. The analog output signal will be ratiometric to the  
supply voltage. The advantage of this method is an output scale  
factor of approximately double the analog output. Its disadvan-  
tage is that the frequency response will be lower than when  
using the XFILT, YFILT output.  
In either of the above approaches, the ADXL202/ADXL210  
can be turned on and off directly using a digital port pin on the  
microcontroller to power the accelerometer without additional  
components. The port should be ud to switch the common  
pin of the accelerometer so the pt pin is pulling down.”  
CALIBRATING THE ADL202/L210  
The initial value of the ot and scale ctor the ADXL202/  
ADXL210 will requicration for acations such as tilt  
measurement. The ADXL2/ADXL210 architecture has been  
designed so thahese calibrats take place in the software of  
the microconoller used to decothe duty cycle signal. Cali-  
bration fars can stored in EEPROM or determined at  
turn-on anavin dynamic memory.  
XFILT, YFILT Output  
The second method is to use the analog output present at the  
XFILT and YFILT pin. Unfortunately, these pins have a 32 kΩ  
output impedance and are not designed to drive a load directly.  
An op amp follower may be required to buffer this pin. The  
advantage of this method is that the full 5 kHz bandwidth of the  
accelerometer is available to the user. A capacitor still must be  
added at this point for filtering. The duty cycle converter should  
be kept running by using RSET <10 M. Note that the acceler-  
ometer offset and sensitivity are ratiometric to the supply volt-  
age. The offset and sensitivity are nominally:  
For low g appltionshe force of gravity is the most stable,  
accurate and convnt acceleration reference available. A  
ding of the 0 g point can be determined by orientating the  
devparallel the earth’s surface and then reading the output.  
0 g Offset = VDD/2  
ADXL202 Sensitivity = (60 mV × VS)/g 300 mV/g at +5 V
ADXL210 Sensitivity = (20 mV × VS)/g 100 mV/g at +5
2.5 V at +5 V  
more rate calibration method is to make a measurements  
1 g and –1 g. The sensitivity can be determined by the two  
urements.  
calibrate, the accelerometer’s measurement axis is pointed  
irectly at the earth. The 1 g reading is saved and the sensor is  
turned 180° to measure –1 g. Using the two readings, the sensi-  
tivity is:  
USING THE ADXL202/ADXL210 IN VERY LOOWER  
APPLICATIONS  
An application note outlining low power strgiet
ADXL202/ADXL210 is available. Some key points are p
sented here. It is possible to reduce thXL202/ADXL0’s  
average current from 0.6 mA to le0 µA by using the  
following techniques:  
Let A = Accelerometer output with axis oriented to +1 g  
Let B = Accelerometer output with axis oriented to –1 g then:  
Sensitivity = [A – B]/2 g  
For example, if the +1 g reading (A) is 55% duty cycle and the  
–1 g reading (B) is 32% duty cycle, then:  
1. Power Cycle the accelerometer.  
2. Run the accelerometewer VDown to 3 V).  
Sensitivity = [55% – 32%]/2 g = 11.5%/g  
Power Cycling with a
These equations apply whether the output is analog, or duty  
cycle.  
Depending on the valapacitor, the ADXL202/  
ADXL210 is capable od giving a good reading in  
1.6 ms. Most microcontrd A/Ds can acquire a reading  
in another 25 µs. Thus it is possible to turn on the ADXL202/  
ADXL210 and take a reading in <2 ms. If we assume that a  
20 Hz sample rate is sufficient, the total current required to  
take 20 samples is 2 ms × 20 samples/s × 0.6 mA = 24 µA aver-  
age current. Running the part at 3 V will reduce the supply  
current from 0.6 mA to 0.4 mA, bringing the average current  
down to 16 µA.  
Application notes outlining algorithms for calculating accelera-  
tion from duty cycle and automated calibration routines are  
available from the factory.  
The A/D should read the analog output of the ADXL202/  
ADXL210 at the XFILT and YFILT pins. A buffer amplifier is  
recommended, and may be required in any case to amplify the  
analog output to give enough resolution with an 8-bit to 10-bit  
converter.  
REV. B  
–10–  
ADXL202/ADXL210  
OUTLINE DIMENSIONS  
Dimensions shown in inches and (mm).  
14-Lead CERPAK  
(QC-14)  
0.390 (9.906)  
MAX  
14  
1
8
0.291 (7.391)  
0.285 (7.239)  
0.419 (10.643)  
0.394 (10.008)  
7
PIN 1  
0.300 (7.62)  
0.195 (4.953)  
0.345 (8.763
0.290 (7.3
0.115 (2.921)  
0.020 (0.508)  
0.004 (0.102)  
0.215 (5.461)  
0.119 (3.023)  
8°  
0.050  
(1.27)  
BSC  
0.020 (0.508)  
0.013 (0.330)  
0.050 (1.270)  
0.016 (0.406)  
0.012.318)  
0(0.229)  
SEATING  
PLANE  
REV. B  
–11–  

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