MPE Calculation

FCC ID: XPYTOBYL210

RF Exposure Info

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FCCID_2425104

RF Exposure and Maximum
ERP/EIRP Assessment

For


TOBY‐L210 GSM/UMTS Module
FCC ID: XPYTOBYL210
IC: 8595A‐TOBYL210


Assessment Reference:         MDE_UBLOX_1409_MPEa Rev3




 Test Laboratory:
 Borsigstrasse 11
 Germany
 7Layers AG
 40880 Ratingen

 Note:
 The following test results relate only to the devices specified in this document. This report shall not be reproduced in parts
 without the written approval of the test laboratory.

 7 layers AG                                        Aufsichtsratsvorsitzender                   Registergericht registered in:
 Borsigstrasse 11                                   Chairman of the Supervisory Board:           Düsseldorf, HRB 44096
 40880 Ratingen, Germany                            Peter Mertel                                 USt-IdNr  VAT No.:
 Phone: +49 (0) 2102 749 0                          Vorstand Board:                             DE 203159652
 Fax: +49 (0) 2102 749 350                          Dr. H.-J. Meckelburg                         TAX No. 147/5869/0385
 www.7Layers.com                                    Dr. H. Ansorge


Table of Contents

0    Summary                                                                3
    0.1   Technical Report Summary                                           3

1    Administrative Data                                                    4
    1.1   Testing Laboratory                                                4
    1.2   Project Data                                                      4
    1.3   Applicant Data                                                    4
    1.4   Manufacturer Data                                                 4

2    Test object Data                                                       5
    2.1   General EUT Description                                           5
    2.2   EUT Main components                                               5
    2.3   Ancillary Equipment                                               5
    2.4   Auxiliary Equipment                                               5
    2.5   Operating Modes                                                   6

3    Evaluation Results                                                     7
    3.1   Maximum ERP / EIRP                                                 7
    3.2   RF Exposure Evaluation for Module                                  8
    3.3   RF Exposure Evaluation for multiple transmitters in co-location   10




Assessment Reference: MDE_UBLOX_1409_MPEa   Rev3                            Page 2 of 12


P   layers
    testing for a smarter world




        0       Summary

        0. 1    Technical Report Summary


        Type of Report
        RF Exposure and Maximum ERP/EIRP Assessment for a GSM/UMTS/LTE radio module. Including RF Exposure
        for use with co—located radios on generic host device.

        Applicable FCC Rules

        For RF Exposure:
        OET Bulletin 65 Edition 97—01 August 1997
        FCC 47 CFR §1.1307
        FCC 47 CFR §1.1310
        RSS—102 Issue 4 — March 2010

        For Maximum ERP/EIRP:

        FCC 47 CFR §22.913
        IC SRSP—503 Issue 7, September 2008
        IC SRSP—510 Issue 5, February 2009
        FCC 47 CFR §27.50(d)
        RSS—139, Issue 2 / SRSP—513




                                               Report version control
                                                                                            Version
               Version          Release date    Changes                                     validity

               001              24.09.2014      Initial version                              Not Valid

               002              20.10.2014      Applied Tune—up values to ERP/EIRP          Valid




         Responsible for
         Accreditation Scope:
                                                              Responsible
                                                              for Report:        Z<A—_




        Assessment Reference: MDE_UBLOX_1409_MPEa      Rev3                                         Page 3 of 12


1     Administrative Data
1.1 Testing Laboratory

 Company Name:                                         7Layers AG

 Address                                               Borsigstr. 11
                                                       40880 Ratingen
                                                       Germany

 This facility has been fully described in a report submitted to the FCC and accepted under the registration
 number 96716.

 The test facility is also accredited by the following accreditation organisation:
 Laboratory accreditation no.:                          DAkkS D‐PL‐12140‐01‐01

 Responsible for Accreditation Scope:                  Dipl.‐Ing. Bernhard Retka
                                                       Dipl.‐Ing. Robert Machulec
                                                       Dipl.‐Ing. Andreas Petz
                                                       Dipl.‐Ing. Marco Kullik


 Report Template Version:                              2014‐05‐15

1.2 Project Data

 Responsible for assessment and report:                Mr. Patrick Lomax

 Date of Report:                                       2014‐09‐23

1.3 Applicant Data

 Company Name:                                         u‐blox AG

 Address:                                              Zürcherstrasse 68,
                                                       CH-8800 Thalwil
                                                       Switzerland
 Contact Person:                                       Giulio Comar

1.4 Manufacturer Data
 Company Name:                                         please see applicant data

 Address:


 Contact Person:




Assessment Reference: MDE_UBLOX_1409_MPEa            Rev3                                           Page 4 of 12


2       Test object Data
2.1 General EUT Description

 Equipment under Test                               TOBY‐L210 Module
 Type Designation:                                  TOBY‐L210
 Kind of Device: GPRS/EDGE MSC                      GSM/UMTS/LTE Data Module
 GPRS Multi‐slot class                              12
 FCC ID:                                            XPYTOBYL210
 IC Number:                                         8595A‐TOBYL210


General product description:

The EUT is Cellular radio module supporting GSM/GPRS/WCDMA/HSDPA/HSUPA/LTE




2.2 EUT Main components
Type, S/N, Short Descriptions etc. used in this Test Report

       Short Description     Equipment under Test    Type Designation        Serial No.        HW Status       SW Status
    EUT A Code:                   TOBY‐L210                L210          352255060017906        192B00           09.41
    DE1015004BC13



NOTE: The short description is used to simplify the identification of the EUT in this test report.



2.3 Ancillary Equipment
For the purposes of this test report, ancillary equipment is defined as equipment which is used in conjunction
with the EUT to provide operational and control features to the EUT. It is necessary to configure the system in a
typical fashion, as a customer would normally use it. But nevertheless Ancillary Equipment can influence the
test results.

     Short            Equipment          Type            HW Status        SW Status         Serial no.          FCC ID
   Description        under Test      Designation
 N/A                                                                                                       ‐



2.4 Auxiliary Equipment

For the purposes of this test report, auxiliary equipment is defined as equipment which is used temporarily to
enable operational and control features especially used for the tests of the EUT which is not used during
normal operation or equipment that is used during the tests in combination with the EUT but is not subject of
this test report. It is necessary to configure the system in a typical fashion, as a customer would normally use it.
But nevertheless Auxiliary Equipment can influence the test results.

     Short            Equipment          Type            Serial no.       HW Status        SW Status            FCC ID
   Description        under Test      Designation
 N/A                                                                                                       –




Assessment Reference: MDE_UBLOX_1409_MPEa                 Rev3                                                    Page 5 of 12


2.5 Operating Modes

This chapter describes the operating modes of the EUTs used for testing.

 Op. Mode     Description of Operating Modes                        Remarks
 Op‐mode 1    EUT transmitting in standalone configuration          Antenna‐to‐person distance > 20cm

 Op‐mode 2    EUT transmitting in the 850 MHz Band                  Antenna‐to‐person distance > 20cm
              simultaneously with a generic Bluetooth radio.
 Op‐mode 3    EUT transmitting in the 1900 MHz Band                 Antenna‐to‐person distance > 20cm
              simultaneously with a generic Bluetooth radio.
 Op‐mode 4    EUT transmitting in the 850 MHz Band                  Antenna‐to‐person distance > 20cm
              simultaneously with a generic WLAN radio.
 Op‐mode 5    EUT transmitting in the 1900 MHz Band                 Antenna‐to‐person distance > 20cm
              simultaneously with a generic WLAN radio.
 Op‐mode 6    EUT transmitting in the 850 MHz Band                  Antenna‐to‐person distance > 20cm
              simultaneously with a generic Bluetooth radio and
              WLAN radio.
 Op‐mode 7    EUT transmitting in the 1900 MHz Band                 Antenna‐to‐person distance > 20cm
              simultaneously with a generic Bluetooth radio and
              WLAN radio.
 Op‐mode 14   EUT transmitting in the 2500 MHz Band                 Antenna‐to‐person distance > 20cm
              simultaneously with a generic Bluetooth radio.
 Op‐mode 15   EUT transmitting in the 2500 MHz Band                 Antenna‐to‐person distance > 20cm
              simultaneously with a generic WLAN radio.
 Op‐mode 16   EUT transmitting in the 2500 MHz Band                 Antenna‐to‐person distance > 20cm
              simultaneously with a generic Bluetooth radio and
              WLAN radio.




Assessment Reference: MDE_UBLOX_1409_MPEa                    Rev3                                       Page 6 of 12


         3      Evaluation Results


         3.1 Maximum ERP / EIRP

                          Standard                                              Frequency Band
          FCC 47 CFR §22.913                               (850MHZ GSM/GPRS) (FDD5 WCDMA/HSUPA/HSDPA/LTE)
          IC RSS‐132, Issue 3
          FCC 47 CFR §24.232                               (1900MHZ GSM/GPRS) (FDD2 WCDMA/HSUPA/HSDPA/LTE)
          IC RSS‐133 Issue 6
          FCC 47 CFR §27.50(d)                             (FDD4,7,17 UMTS/LTE)
          RSS‐139, Issue 2 / SRSP‐513

         3.1.1 Test Limits
         For the 850MHz band, FCC §22.913 states that the maximum ERP of this device shall not exceed 7 Watts. IC
         SRSP‐503 Issue 7, states that this device shall not exceed a maximum EIRP of 11.5 Watts
         For the purposes of this test report, the 7 Watt ERP limit stipulated in FCC §22.913 has been converted to an
         equivalent ERIP value of 11.5 Watts.

         For all other limits, refer to the values stipulated in the corresponding tables.

         3.1.2 Test Protocol




                                                                 Maximum        Maximum                                             Maximum
                                                                 Conducted      Conducted                             FCC / IC      antenna gain to
                             Duty Cycle                          output power   output power        Freq of highest   EIRP limit    meet EIRP Limit
Band         Mode            (%)          Frequency (MHZ)        (dBm)          (mW)                power             (mW)          (dBi)


   850            GSM            50.0%       836.2 ‐ 848.8            33.25      2113.48904                  848.80       11484           7.4


  1900           GSM             50.0%      1850.2 ‐ 1909.8            30.2      1047.128548               1909.80         2000            2.8
 FDD 2           UMTS           100.0%       1850 ‐ 1907.6             24.5      281.8382931               1852.40         2000            8.5
 FDD 5           UMTS           100.0%        824 ‐ 846.6              24.5      281.8382931                846.60        11484           16.1
 eFDD 5           LTE           100.0%         824 ‐ 849                24       251.1886432                826.50        11484           16.6
 eFDD 7           LTE           100.0%        2500‐2570                 24       251.1886432               2535.00         1000            6.0



         3.1.3 Conclusion
                                          All gains in (dBi)   Band              Max gain to be         Max gain to be      Maximum gain
                                                                                 used to comply         used to comply      to be compliant
                                                                                 with EIRP Limits       with MPE Limits     with all limits
                                                               GSM 850           7.4                    4.3                 4.3
                                                               GSM 1900          2.8                    9.8                 2.8
                                                               FDD 7             6.0                    13.0                6.0




         Assessment Reference: MDE_UBLOX_1409_MPEa                    Rev3                                                   Page 7 of 12


3.2 RF Exposure Evaluation for Module

                                                    Standards
                                 OET Bulletin 65 Edition 97‐01 August 1997
                                            FCC 47 CFR §1.1307
                                            FCC 47 CFR §1.1310
                                      RSS‐102 Issue 4 – March 2010




3.2.1 Test limits
As specified in Table 1B of 47 CFR 1.1310 – Limits for Maximum Permissible Exposure (MPE), Limits for General
Population/Uncontrolled Exposure.

                       Frequency range (MHz)                Power density (mW/cm²)
                               300 – 1,500                          f/1500
                             1,500 – 100,000                          1.0




Equation OET bulletin 65, page 18, edition 97‐01:
                                                                               ²




Where:
         S = power density
         P = power input to the antenna
         G = power gain of the antenna in the direction of interest relative to an isotropic radiator
         R = distance to the centre of radiation of the antenna




Assessment Reference: MDE_UBLOX_1409_MPEa           Rev3                                                Page 8 of 12


3.2.2 Test Protocol
        Maximum antenna gain to comply with MPE limits for FCC and Industry Canada
                                                                                                         Maximum
                                                             Maximum                                     antenna
                                            Maximum          Conducted    Equivalent                     gain to
                                            Conducted        output       conducted                      meet        Separation
                     Duty      Frequency    output power     power        output power       MPE Limit   MPE Limit   distance
Band     Mode        Cycle     (MHZ)        (dBm)            (mW)         (mW)               (mW/cm²)    (dBi)       (cm)
             GSM /
   850        GPRS      50%         848.8             33.25      2113.49           1056.82      0.5659         4.3           20
             GSM /
  1900        GPRS      50%        1909.8              30.2      1047.13            523.60      1.0000         9.8           20
 FDD 2       UMTS 100.0%           1852.4              24.5       281.84            281.84      1.0000        12.5           20
 FDD 5       UMTS 100.0%            846.6              24.5       281.84            281.84      0.5644        10.0           20
eFDD 5         LTE 100.0%           826.5                24       251.19            251.19      0.5510        10.4           20
eFDD 7         LTE 100.0%          2535.0                24       251.19            251.19      1.0000        13.0           20
* Conducted output power values bases on “Tune‐up” information provided by manufacturer.


3.2.3 Conclusion
        Maximum antenna gain for MPE compliance      Frequency Band          Maximum gain to be used for MPE Compliance
                                                     850 MHz                 4.3
                                                     1900 MHz                9.8
                                                     2500 MHz                13.0




Assessment Reference: MDE_UBLOX_1409_MPEa                  Rev3                                                 Page 9 of 12


 3.3 RF Exposure Evaluation for multiple transmitters in co‐location

                                                           Standards
                                      OET Bulletin 65 Edition 97‐01 August 1997
                                                 FCC 47 CFR §1.1307
                                                 FCC 47 CFR §1.1310
                                           RSS‐102 Issue 4 – March 2010


 3.3.1 Co‐Location Considerations
 The calculation below is used to consider situations in which simultaneous exposure to fields of different
 frequencies occur. The calculation is performed by the sum of each relative exposure for each equipment
 according to the following criteria.



 Where:
 Seq is the power density of the electromagnetic field at a given distance by a specific transmitter and a defined
 frequency.
 Slin is the MPE limit for the frequency being evaluated.


 3.3.2 Assumptions

 1. Primary transmitter does not support power reduction for multiple time slots on the uplink.
 2. Antenna separation from is ≥ 20cm.
 3. Separation distance between co‐located transmitting antennas is 0cm.
 4. Hypothetical Bluetooth radio is assumed to have an EIRP of 100mW.
 5. Hypothetical WLAN radio is assumed to have an EIRP of 2000mW.


 3.3.3 Test Protocol
 The below table is to determine the MPE values using the maximum gain values obtained in section 3.3.4 of
 this document.

 OP mode‐1
                                                      Maximum
                                                      Conducted Equivalent                       MPE
                                                      output       conducted                     Value       Separation
                           Duty         Frequency     power        output power      MPE Limit   using       distance
Band       Mode            Cycle        (MHZ)         (dBm)        (mW)              (mW/cm²)    Max gain    (cm)         Verdict
   850      GSM / GPRS           50%          848.8        33.25           1056.82     0.5659       0.3182           20   Pass
  1900      GSM / GPRS           50%         1909.8         30.2            523.60     1.0000       0.5858           20   Pass
    FDD 2         UMTS        100.0%         1852.4         24.5            281.84     1.0000       0.0849           20   Pass
    FDD 5         UMTS        100.0%          846.6         24.5            281.84     0.5644       0.0849           20   Pass
  eFDD 5             LTE      100.0%          826.5           24            251.19     0.5510       0.0756           20   Pass
  eFDD 7             LTE      100.0%         2535.0           24            251.19     1.0000       0.5738           20   Pass
 * Conducted output power values bases on “Tune‐up” information provided by manufacturer.




 Assessment Reference: MDE_UBLOX_1409_MPEa                  Rev3                                                Page 10 of 12


MPE Values for the generic Bluetooth and WLAN radios operating alone. These values are used to calculate the
relative exposure for simultaneous transmission with the primary transmitter.

                                      MPE Calculation for Single Transmitter installed in Generic host

 Radio type    Duty         EIRP (mW)      EIRP              MPE Limit         Maximum                Power                 Separation     Verdict
               Cycle                       Equivalent        (mW/cm²)          antenna gain           density               distance
                                           (mW)                                (dBi)                  (mW/cm²)              (cm)
 Bluetooth     25%          100.00         76.43             1.0000            0.0                    0.0152                20             Pass

 WLAN          100%         2000.00        2000.00           1.0000            0.0                    0.3979                20             Pass




                                                                                                                 Seq
                                                                                         Slin                  ‐‐‐‐‐‐‐‐‐‐
 OP‐Mode      Mode          EIRP            Frequency (MHZ)       Seq                    (mW/cm²)               SLin             Verdict
               GSM /
      850       GPRS         1330.4544                   848.8            0.3182             0.5659       0.56236256             Pass
               GSM /
      1900      GPRS          659.1739                  1909.8            0.5858             1.0000       0.58577457             Pass
     FDD 2     UMTS           354.8134                  1852.4            0.3153             1.0000       0.31530475             Pass
     FDD 5     UMTS           354.8134                   846.6            0.0849             0.5644       0.15036387             Pass
     eFDD 5      LTE          316.2278                   826.5            0.0756             0.5510       0.13727104             Pass
     eFDD 7      LTE          316.2278                  2535.0            0.5738             1.0000       0.57376032             Pass



OP mode‐1


              Relative exposure for Secondary transmitter
 OP‐Mode      Transmitter   EIRP            Seq               Slin (mW/cm²)     Seq
                                            (mW/cm²)                            ‐‐‐‐‐‐‐‐‐‐
                                                                                SLin
 2            Bluetooth     76.43           0.0152            1.0000            0.015205278
 3            WLAN          2000.00         0.3979            1.0000            0.397887694
 4            Bluetooth     76.43           0.0152            1.0000            0.015205278
              WLAN          2000.00         0.3979            1.0000            0.397887694




Assessment Reference: MDE_UBLOX_1409_MPEa                     Rev3                                                                Page 11 of 12


  Simultaneous exposure or Primary and Secondary transmitter
    installed in generic host device with Bluetooth and WLAN
                                                                                  Compliance
                                                                                   Maximum
                                          Maximum               Maximum           (Spri/Slim_pri)
                            Frequency                           Spri/Slim_pri +    + (Ssec /
 OP‐Mode      Transmitter   (MHZ)         Seq / SLin            Ssec / Slin_Sec   Slin_Sec) < 1
               Bluetooth       2441                    0.0152
    2         TOBY L200         850                    0.5624       0.5776         Compliant
               Bluetooth       2441                    0.0152
    3         TOBY L200        1900                    0.5858       0.6010         Compliant
                WLAN           2437                    0.3979
    4         TOBY L200         850                    0.5624       0.9603         Compliant
                WLAN           2437                    0.3979
    5         TOBY L200        1900                    0.5858       0.9837         Compliant
               Bluetooth       2441                    0.0152
                WLAN           2437                    0.3979
    6         TOBY L200         850                    0.5624       0.9755         Compliant
               Bluetooth       2441                    0.0152
                WLAN           2437                    0.3979
    7         TOBY L200        1900                    0.5858       0.9989         Compliant
              Bluetooth        2441                    0.0152
    14        TOBY L200        2500                    0.5738       0.5890         Compliant
                WLAN           2437                    0.0152
    15        TOBY L200        2500                    0.5738       0.5890         Compliant
              Bluetooth        2441                    0.0152
                WLAN           2437                    0.3979
    16        TOBY L200        2500                    0.5738       0.9869         Compliant




3.3.4 Conclusion

 When operating the primary transmitter simultaneously with a generic Bluetooth and WLAN radio, the following antenna gains
                                                                   can be used while still complying with the exposure limits.


                                                                                        Band                   dBi

                                                                                          850                   1.8
                                                                                         1900                   7.5
                                                                                         2500                  10.6




Assessment Reference: MDE_UBLOX_1409_MPEa                   Rev3                                                      Page 12 of 12



Document Created: 2014-10-22 10:09:36
Document Modified: 2014-10-22 10:09:36

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