Texas Instruments TIRIS RI-TRP-RRHP, TIRIS RI-TRP-WRHP Reference Manual

Texas Instruments
Registration
and
Identification
System
23 mm Glass Encapsulated
Transponder
RI-TRP-RRHP
Reference Manual
11-09-21-023 25-July-1996
23 mm Transponder Reference Manual 25 July 1996
Edition Notice: Fourth Edition - July 1996
This is the fourth edition of this manual, it describes the following transponders:
RI-TRP-RRHP RI-TRP-WRHP
This Reference Manual is for customers who wish to use the TIRIS 23 mm Glass Encapsulated Transponder in Radio Frequency Identification (RFID) installations. The manual includes technical information concerning the function, technical specifications, application and environmental related data.
Texas Instruments reserves the right to change its products or services at any time without notice. TI provides customer assistance in various technical areas, but does not have full access to data concerning the uses and applications of customer's products. Therefore TI assumes no responsibility for customer product design or for infringement of patents and/or the rights of third parties, which may result from assistance provided by TI.
The TIRIS logo and the word TIRIS are registered trademarks of Texas Instruments Incorporated.
Copyright 1996 Texas Instruments Incorporated.
All rights reserved.
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25 July 1996 23 mm Transponder Reference Manual
Contents
1. Introduction ................................................................................................................................... 4
2. Transponder Packaging ................................................................................................................. 5
3. Product Codes ............................................................................................................................... 5
4. Function ........................................................................................................................................ 5
4.1 Read (Reading of RO and R/W Transponders) ........................................................................ 5
4.2 Write and Program .................................................................................................................. 8
5. Characteristics of the Pulsed FM System ....................................................................................... 9
5.1 Basic System Data ................................................................................................................... 9
5.2 Reader and System Design Impact .......................................................................................... 10
5.3 System Performance and Functional Reliability Impact ........................................................... 10
5.4 Other Quality Factors of the TIRIS Pulsed FM System ............................................................ 10
6. EMI/EMC Performance ................................................................................................................. 11
6.1 General ................................................................................................................................... 11
6.2 The Automotive Environment and Factors .............................................................................. 11
6.3 TIRIS Pulsed FM Transponder and System Performance ......................................................... 11
7. Measurement Set-Ups .................................................................................................................... 14
7.1 Measurement set-up: Resonance frequency, bandwidth, quality factor ..................................... 14
7.2 Measurement Set-Up: Powering Field Strength ....................................................................... 15
7.3 Measurement set-up: Transponder Signal Strength ................................................................. 17
8. Absolute Maximum Ratings .......................................................................................................... 18
9. Recommended Operating Conditions ............................................................................................. 18
10. Characteristics ............................................................................................................................. 19
11. Environmental Data and Reliability .............................................................................................20
12. Memory ....................................................................................................................................... 20
13. Package ....................................................................................................................................... 20
14. Packing Symbolization ................................................................................................................ 21
Appendix A: Conversion Formula ...................................................................................................... 22
Figures
Figure 1: System Configuration Showing the Reader, Antenna and Transponder ................................ 4
Figure 2: Block Diagram of the TIRIS Pulsed FM Transponder .......................................................... 4
Figure 3: Dimensions of the TIRIS 23 mm Transponder (in mm) ....................................................... 5
Figure 4: Charge and Read Function of the Transponder .................................................................... 6
Figure 5: FM Principle Used for the Read Function of TIRIS Transponders ........................................ 7
Figure 6a: Read Data Format of TIRIS RO Transponder ..................................................................... 7
Figure 6b: Read Data Format of TIRIS R/W Transponder ................................................................... 7
Figure 7: Charge, Write and Program Principle used for TIRIS .......................................................... 8
Figure 8: The Write and Program Function ........................................................................................ 9
Figure 9: Write Data Format for Programming Function .................................................................... 9
Figure 10: EMI Performance Test of the TIRIS System. ..................................................................... 12
Figure 11: EMI performance in automotive environment. ................................................................... 13
Figure 12: Reading range under broad band noise (white noise) conditions ........................................ 13
Figure 13: Measurement for transponder resonance, bandwidth & quality factor ............................... 14
Figure 14: Determination of resonance and -3dB by monitoring pick-up coil voltage .......................... 15
Figure 15: Test set-up for powering field strength determination ........................................................ 15
Figure 16: Received signal at the pick up coil, if power field strength is sufficient .............................. 16
Figure 17: Determination of the transponder signal strength with Helmholtz aperture ........................ 17
Figure 18: Monitored signal voltage at the spectrum analyzer (time domain mode) ............................ 17
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23 mm Transponder Reference Manual 25 July 1996
1. Introduction
The TIRIS 23 mm Glass Encapsulated Pulsed FM Transponder is a key product in low frequency RFID systems that can be used for a variety of applications, such as automotive security systems.
The device is available in Read Only (RO) and Read/Write (R/W) versions. Electro Magnetic signals are used to power the passive (batteryless) device, to transmit the identification number to a reader unit or to program the device with new data. The basic principle is described in Figure 1.
Both RO and R/W versions use an 80 bit non-volatile memory (EEPROM) for storage of 64 identification bits and a 16 bit Block Check Character (BCC). The RO type is factory programmed with a unique tamperproof code that cannot be altered. The R/W version can be programmed by the user.
The 23 mm Transponder comprises a ferrite core antenna, a charge capacitor, a resonance capacitor and the integrated circuit (Figure 2). The antenna inductance and the resonance capacitor form a high quality resonant circuit.
TRANSMIT/REC EIVE ANTENNA
FIELD LINES
ANTENNA AXIS
RF MODULE
CONTROL UNIT
TIRIS READ/WRITE UNIT
CF4 5538
TRANSPONDER
Figure 1: System Configuration Showing the Reader, Antenna and Transponder
ANTENNA
TRANSPONDER IC
CHARGE CAPACITOR
Figure 2: Block Diagram of the TIRIS Pulsed FM Transponder
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25 July 1996 23 mm Transponder Reference Manual
2. Transponder Packaging
The dimensions of the transponder are given in Figure 3. The 23 mm shape offers several advantages:
1. The transponder is hermetically sealed.
2. The transponder is robustly constructed to withstand vibration (IEC68-2-6) and shock (IEC68-2-6).
3. For Applications where read range is not the most critical point the transponder can be mounted or used in such a way that the orientation is not controlled.
Figure 3: Dimensions of the TIRIS 23 mm Transponder (in mm)
3. Product Codes
64 bit Read Only device: RI-TRP-RRHP 64 bit Read/Write device: RI-TRP-WRHP
4. Function
The Pulsed FM System uses a sequential function principle separating the transponder powering (charge) and transponder data transmission mode. The advantages of the sequential mode are described in Section 5.1 "Basic System Data".
4.1 Read (Reading of RO and R/W Transponders)
During the charge (or powering phase) of between 15 and 50 ms the interrogator generates an electromagnetic field using a frequency of 134.2 kHz. The resonant circuit of the transponder is energized and the induced voltage is rectified by the integrated circuit to charge the capacitor. The transponder detects the end of the charge burst and transmits its data using Frequency Shift Keying (FSK), utilizing the energy stored in the capacitor.
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23 mm Transponder Reference Manual 25 July 1996
The typical data low bit frequency is 134.2 kHz, the typical data high bit frequency is 123.2 kHz. The low and high bits have different durations, because each bit takes 16 RF cycles to transmit. The high bit has a typical duration of 130 µs, the low bit of 119 µs. Figure 5 shows the FM principle used. Regardless of the number of low and high bits, the transponder response duration is always less than 20 ms.
The data format consists of 128 bits. Different start/stop bytes and end bits are used, to allow secure distinction between RO and R/W Transponder. Figures 6a and 6b show the format of the received data for RO and R/W transponders.
After transmission of the data format the capacitor is discharged. The typical transponder readout timing is described in figure 4. The charge phase is followed directly by the read phase (RO mode).
Data encoding is done in NRZ mode (Non Return to Zero). The clock is derived from the RF carrier by a divide-by-16 function.
Figure 4: Charge and Read Function of the Transponder, Showing the Voltage at the
Transponder and Exciter (Reader) Coil
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25 July 1996 23 mm Transponder Reference Manual
0 0 11
134.2 kHz 123.2 kHz 134.2 kHz 123.2 kHz
129.2 µs 119.9 µs
Figure 5: FM Principle Used for the Read Function of TIRIS Transponders
PRE BITS
16
8 64
IDENTIFICATION DATA
Figure 6a: Read Data Format of TIRIS RO Transponder
START
PRE BITS
16 8 64
IDENTIFICATION DATA
Figure 6b: Read Data Format of TIRIS R/W Transponder
READ DATA
112 bits
READ DATA
112 bits
DATA
BCC
16
DATA
BCC
STOPSTART
8
STOP
816 15
DISCHARGE
END
BITS
15
16 bits
MSBLSB
DISCHARGE
ENDBITS
IDENT. DATA
16 bits
MSBLSB
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23 mm Transponder Reference Manual 25 July 1996
4.2 Write and Program
A new identification number can be written (programmed) into a R/W transponders in the following manner: After the charge phase the R/W transponder enters the write mode providing the reader starts to modulate the field by switching the transmitter on and off (TXCT-). Modulation index of this amplitude modulation is 100%. The duration of the off-phase defines whether a low bit or a high bit is being transmitted (Pulse Width Modulation). Writing means, the transponder shifts the received bits into a shift register. After the write phase the reader's transmitter is switched on for a certain time (programming time) in order to energize the process of programming the shift register data into the EEPROM. All 80 bits are programmed simultaneously into the EEPROM. Once the data is programmed into the EEPROM the transponder automatically sends back the captured data to the reader to allow a security check, this process takes place when the transmitter is switched off. Each read unit can be used as a write unit through software change only. No hardware changes are required.
Figure 7 describes the write function by showing the transmitter (reader) RF output signal and the transponder RF input signal. Figure 8 shows the TXCT- signal of the reader (transmitter) during the write and program function. The data transmission format of the write mode is described in figure 9.
Charge: Continuous RF Module Transmitter output Signal Write: Pulse width modulation of the RF module transmitter output signal Program: Continuous RF module transmitter output signal Read: Frequency Shift Keying of the transponder resonant circuit oscillation
Figure 7: Charge, Write and Program Principle used for TIRIS, showing the voltage at the
exciter (reader) and transponder antenna coil
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25 July 1996 23 mm Transponder Reference Manual
WRITE
TRANSMITTER OFF
TXCT -
TRANSMITTER ON
RF MODULE TXCT- SIGNAL
t
offH
HIGH BIT
t
H
t
onH
t
offL
LOW BIT
t
onL
t
L
Figure 8: The Write and Program Function
MSB
PROGR.
15 ms
CHARGE
50 ms
LSB
112 bit
8 80
WRITE
KEYWORD
16 ms 160 ms 32 ms
8
WRITE
PASSWORD
16 ms
WRITE DATA
309 ms
16
WRITE FRAME
Figure 9: Write Data Format for Programming Function
PROGRAM
t
prog
128 bit
READ
20 ms
5. Characteristics of the Pulsed FM System
5.1 Basic System Data
The TIRIS Pulsed FM system multiplexes the power and read functions avoiding compromises. This results in the following characteristics and options:
a) Individual optimization of the power and read functions by the system designer. b) Variation of powering time by S/W to trade-off speed/current consumption with other
parameters c) Absence of the high powering signal during the data reception phase d) Data transmission by an active oscillator. This is associated with a high signal strength
level and a high transponder efficiency. e) NRZ modulation encoding for high data speed and low transmission bandwidth.
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23 mm Transponder Reference Manual 25 July 1996
5.2 Reader and System Design Impact
* Ease of receiver and power function design and the optimization of performance due to
sequential power/read functions.
* Low field strength for transponder charge, resulting in lower cost of the power function. * Optional performance and cost trade-offs by variation of:
interrogation speed by software down to 35 ms. component selection to achieve different EMI performance levels.
5.3 System Performance and Functional Reliability Impact
* Inherent EMI robustness and high system Signal/Noise ratio because:
A. The transponder emits 6..20 dB higher data signal (compared to conventional systems). B. The powering phase is noise immune and the data transmission phase duration is typically
16 ms. C. FSK and NRZ allow a high data rate (typically 9 kbit/s). D. Modulation is direct carrier FSK which has inherent AM noise suppression.
* Low reader power dissipation because of low charge field strength. * Low power consumption due to pulsed operation (=low peak power x low duty cycle). * Data telegram transmission is secured by 16 bit CRC-CCITT error detection protocol. * The receive time is short, because the transponder protocol always starts at the beginning of
the data stream. Therefore read repetitions are not necessary.
5.4 Other Quality Factors of the TIRIS Pulsed FM System
* High and consistent transponder product quality and performance by automated high volume
manufacturing.
* The direct FSK provides enhanced separation and better position-selective reading of adjacent
transponders compared to AM systems.
* Product migration path concept from RO to R/W to Password protected and Multipage
transponders. The reader or system can be changed from RO to R/W by S/W change only.
* TIRIS transponders are 100% tested according to the procedures of TI's Total Quality
Culture.
* The reliability of TIRIS transponders is monitored through the following tests: temperature
and humidity, thermal shock, and operating life.
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25 July 1996 23 mm Transponder Reference Manual
6. EMI/EMC Performance
6.1 General
For any given RF-ID system, the EMI/EMC performance is determined by three factors:
1. The reader design and the resulting noise immunity performance
2. The signal strength of the transponder and Signal/Noise ratio at the receiver input
3. The transponder immunity to EM fields:
- The most critical EMI factor or component in a system is the reader immunity.
- A high transponder data signal facilitates reader design through the higher Signal/Noise.
ratio
- The least critical component is the transponder. Immunity levels are generally very high.
All EMI sources can be classified into three different categories:
a. Broad band "industrial" noise of sporadic or continuous nature b. Discrete radio frequency signals unmodulated or FM /FSK modulated c. Discrete radio frequency signals which are AM or ASK modulated.
6.2 The Automotive Environment and Factors
In an automotive environment all noise types are present and potentially cause EMI problems. Especially the increased application of electronics and communication systems in cars employing
digital and ASK type modulation techniques can produce and emit high field strength levels. The highest energy noise sources are in the low frequency part of the spectrum at frequencies
from a few cycles up to a few kHz. The sources are actuators, solenoid switching, ignition, motors, control circuitry and so on. They pollute the car environment, either by direct emission, or by induction, or by conducted radiation.
Above 10 kHz, the noise levels decay quickly at a rate of 20...40 dB/octave. RFID systems emitting and receiving data signals at these or higher frequencies are less affected by EMI.
6.3 TIRIS Pulsed FM Transponder and System Performance
EMI measurement procedures which are most currently cited (for example the DIN 40839/part4) are inappropriate to:
a. determine a realistic RF-ID system behavior for an automotive environment b. determine the EMI performance and threshold of transponder c. test systems at worst case (low frequency) conditions.
However the TIRIS transponder meets and exceeds the DIN40839/part4.
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23 mm Transponder Reference Manual 25 July 1996
The TIRIS system performance using reader and 23 mm transponder is shown in figures 10, 11 and 12.
Figure 10 shows the system immunity over a spectrum of 6 decades. At the most critical Radio Short Wave Broadcast frequencies 400 V/m were encountered.
Figure 11 highlights the system performance simulating in-car RF communication conditions.
Figure 12 shows the performance (reading range) under induced broad band noise (white noise) conditions.
Pulsed FM EMI System Performance
10,000
1,000
100
10
Malfunction
1
Function Function
0.1
0.01
E M I FIELD STRENGTH
[VOLTS/m]
0.001
0.001 0.01 0.1 1 10 100 1,000
LWSWMW FM
FREQUENCY MHz]
VHF / UHF
Figure 10: EMI Performance Test of the TIRIS System.
The graph shows the EM Immunity level in V/m as function of the frequency range from 1 kHz to 1000 MHz. Measurement condition: minimum 90% read probability at maximum read range. Using a standard TIRIS reader.
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25 July 1996 23 mm Transponder Reference Manual
120
100
80
60
40
20
READING RANGE (%)
normalized
0
1 2 5 10 20 50 100 200 500 1,000
430 MHz
145 MHz
900 MHz
ELECTRICAL FIELD STRENGTH (VOLTS/m)
Figure 11: EMI performance at commonly used radio communication frequencies in
automotive environment.
White noise performance of TIRIS
100
90 80 70 60 50 40 30
READING RANGE [%]
20 10
0
20 25 30 35 40 45 50 55 60 65
AM Systems
NOISE LEVEL [dB
µΑµΑ
TIRIS Pulsed FM
/m]
Figure 12: Reading range under broad band noise (white noise) conditions
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23 mm Transponder Reference Manual 25 July 1996
f
7. Measurement Set-Ups
This Section describes typical measurement set-ups to determine transponder relevant data like: resonant frequency, bandwidth, quality factor, powering field strength and transponder signal field strength listed in Section 9 "Rocommended Operating Conditions".
7.1 Measurement Set-Up: Resonance frequency, bandwidth, quality factor of transponder
This test set-up is suitable for resonant frequency (f
measurements as well as the determination
res)
of the -3dB bandwidth (f) of the transponder. The quality factor Q of the transponder resonance circuit can be calculated with equation (1):
(1) Q
res
=
f
The wires of the pick-up coil should be very thin to avoid influence on the measurement results (for example: by damping). The choice of a 1 M input resistor at the spectrum analyzer is recommended. Figure 13 shows the test set-up. The relation between pick-up coil voltage and frequency is shown in Figure 14.
TRANSPONDER
CO I L
PICK-UP COIL
INPUT
TRACKING GE NERATOR
SPECTRUM ANALYZER
Figure 13: Measurement set-up for the determination of transponder resonance frequency,
bandwidth and quality factor
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25 July 1996 23 mm Transponder Reference Manual
U
Pick-up coil
f
Res
f
3 dB
f
Figure 14: Determination of the resonance frequency and -3dB bandwidth by monitoring
the pick-up coil voltage
7.2 Measurement Set-Up: Powering Field Strength
The following set-up is used to determine the minimum required powering field strength.
d/2
COILS
TRANSPONDER
ANTEN NA AXIS
SIGNAL GENERATOR
Trigger
PICK-UP COIL
d
OSCILLOSCOPE
Figure 15: Test set-up for powering field strength determination
The field between both serial connected coils is homogeneous, due to the fact that the aperture is built according to the Helmholtz set-up. The circular coils are positioned in parallel on one axis. The distance between the coils is half the coil diameter. The transponder is positioned in the middle of the coil axis.
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23 mm Transponder Reference Manual 25 July 1996
d
5
2
/
Determination of the minimum powering field strength is possible by changing the field strength through increasing the coil current. The relation between the generated magnetic flux / field strength and coil current can either be measured with a calibrated filed probe, or calculated as follows:
(2) B
454
µ µ
o r
N I
=
0
µ µ
H
r=
B: magnetic flux (Tesla=Wb/m
2)
H: magnetic field strength (A/m) N: Number of Helmholtz Coil windings d: Coil diameter (m) I: Coil current (A) µo:magnetic field constant (Vs/Am) = 4×p×10
-7
Vs/Am
µr :relative magnetic field constant (in air: =1)
The Helmholtz set-up can be used for the specification of transponders in the temperature range from -40 to +85 ºC. Tests showed, however, that deviations of the field strength caused by temperature negligible.
The data telegram of the transponder can be captured by a pick-up coil (for example: 10 windings, thin wire to minimize influence) which wraps the transponder. The pulse modulated signal can be adjusted at the signal generator. The measurement of the power pulse and transponder diagram can be done with the help of an oscilloscope triggered by the generator signal (see Figure 15). As soon as a data telegram is completely detected the minimum necessary field strength (calculated with equation 2) can be monitored.
U
Power phase
Response phase
max 20msec
t
Figure 16: Received signal at the pick up coil, if power field strength is sufficient
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25 July 1996 23 mm Transponder Reference Manual
7.3 Measurement Set-Up: Transponder Signal Strength
The 23 mm transponder has to be located into a homogeneous field (Helmholtz set-up). The pulsed power signal is generated by a signal generator. A calibrated field strength probe picks up the transponder signal. The field strength can be calculated by using the calibration factor of the field strength probe.
COILS
PICK-UP COIL
ANTENNA AXIS
SIGNAL GENERATOR
TRANSPONDER
d
SPECTRUM ANALYZER
Figure 17: Determination of the transponder signal strength (data transmission signal
strength) with Helmholtz aperture
U
Transponder signalPower signal
Noise
t
Power phase
Read phase
Figure 18: Monitored signal voltage at the spectrum analyzer (time domain mode)
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23 mm Transponder Reference Manual 25 July 1996
Ta
read
Ta
T
s
T
s
H
exc
t
exc
f
exc
t
H
t
exc
H
t
exc
H
acttexc
H
act
t
exc
t
bit
t
off L
t
off H
8. Absolute Maximum Ratings
All data given for free air operating temperature range (unless otherwise noted).
PARAMETER CONDITION MIN. NOM. MAX. UNIT Operating temperature (read) Operating temperature (program) Storage temperature Storage temperature Field strength
Prog
-40 85
-40 70
-40 100
5 min 175
134.2 kHz 168
o
C
o
C
o
C
o
C
dBµA /m
9. Recommended Operating Conditions
All data given for free air operating temperature range, a charge time of 50 ms, and a transmitter frequency of 134.2 kHz +/- 40 Hz (unless otherwise noted).
PARAMETER CONDITION MIN. NOM. MAX. UNIT Charge duration for read and write Charge frequency for read and write Programming time
Programming field strength Programming field strength
Activation field strength Activation field strength
Write bit duration Write pulse pause low bit Write pulse pause high bit
prog
prog
prog
= 50 ms 142.5
+ 25 oC
= 50 ms = 50 ms 136.5
+ 25 oC
= 50 ms
*Note 2 ms *Note 0.3 ms *Note 1.0 ms
15 50 ms
134.16 134.2 134.24 kHz
15 ms
dBµA/m
138.5
132.5
dBµA/m
dBµA/m dBµA/m
Note: Depending on reader characteristics and environmental conditions.
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25 July 1996 23 mm Transponder Reference Manual
f
L
f
L
t
L
f
H
f
H
t
H
H
out
f
L
fHm
read
f
L
fHm
read
r
read
t
read
m
write
r
write
t
write
10. Characteristics
All data given for free air temperature range, a charge time of 50 ms, and a transmitter frequency of 134.2 kHz +/- 40 Hz (unless otherwise noted).
PARAMETER CONDITION MIN. NOM. MAX. UNIT Operating quality factor Qop Note 1 62 Low bit transmit frequency Low bit transmit frequency Low bit duration High bit transmit frequency High bit transmit frequency High bit duration Transponder output field strength @ 5 cm FSK Modulation index (read); FSK Modulation index (read); Data transmission rate (read) Data transmission time (read) ASK modulation index (write) Data transmission rate (write) Data transmission time (write)
-
-
+ 25 oC 132.2 134.3 136.2 kHz
+ 25 oC 121.0 122.9 125.0 kHz
+ 25 oC 11 kHz
Note 2 9 15 kHz
Note 3 0.5 kbit/s
Note 3 224 ms
131.5 139.0 kHz
0.115 0.119 0.121 ms
120.0 128.0 kHz
0.125 0.130 0.133 ms 80 101
7.4 8.7 kbit/s
16 20 ms
100 %
dBµA/m
Note 1: Specified Qop must be met in the application over the required temperature range.
Refer to the test set-up shown in figure 13.
Note 2: Maintained over specified temperature range.
Note 3: Adaptable to application.
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23 mm Transponder Reference Manual 25 July 1996
11. Environmental Data and Reliability
PARAMETER CONDITIONS MIN. NOM. MAX. UNIT Programming cycles Note 1 25 oC 100 k cycles Data retention time Note 1 100k cycles
@ 25oC
storage
temperature EM Radiation immunity 1...512 MHz 100 V/m EM Radiation immunity 512..1000MHz 50 V/m ESD Immunity IEC 801-2 2 kV X-ray dose 2000 RAD Vibration (Note 2) IEC 68-2-6, Test Fc Shock IEC 68-2-27, Test Ea
Note 1: Cumulative failure rate 1%.
10 years
Note 2: f = 10 - 2000 Hz.
12. Memory
PARAMETER DATA Memory size 80 bits Memory organization 1 block Identification data 64 bit Error detection (Data BCC) CRC - CCITT , 16 bit
13. Package
PARAMETER DATA Dimensions 23 mm x 3.85 mm ( see figure 3) Weight 0.6g
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25 July 1996 23 mm Transponder Reference Manual
14. Packing Symbolization
The Transponders are packed in a a carrier tape which is closed with a cover tape carrying product information and Country of Origin information as below:
MALAYSIA xxxxxxxxxxxxxxxx
Note: 'XXXXXXXXXXXXXXXX' is the 16 digits Identification Code (ID) in hexadecimal
numbers.
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23 mm Transponder Reference Manual 25 July 1996
B
H
F
=
µ
dB
A
m
µ
dB
V
m
µ
Appendix A: Conversion Formula
Conversion formula between magnetic flux, magnetic field strength and electric field strength.
0
E Z H
=
H =
E
dB V / m
515.
dB Amµµ
; H =
; E
B = magnetic flux [Tesla = Wb/m2 =Vs/m2]; 1 mWb/m2 = 0.795 A/m H = magnetic field strength [ A/m or in logarithmic term dBµA/m] E = electrical field strength [ V/m or in logarithmic term dBµV/m]
µ0 = magnetic field constant = 1.257×10-6 Vs/Am ZF = free space impedance = 120 π Ω = 377
=
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