RF Exposure

FCC ID: RI7HE9223GR

RF Exposure Info

Download: PDF
FCCID_3230880

AT4wireless, S.A.U
Parque Tecnologico de Andalucía,
C/ Severo Ochoa 2
29590 Campanillas
Málaga, España

Subject: RF exposure analysis for the equipment with FCC ID: RI7HE9223GR; IC: 5131A-HE9223GR

The device model: HE922-3GR (FCC ID: RI7HE9223GR; IC: 5131A-HE9223GR) is designed to be installed in and used in mobile exposure
conditions.

The antennas used for this device must be installed to provide a separation distance of at least 20 cm from all the persons and must not be co-
located or operating in conjunction with any other antenna or transmitter.

MPE exposure limits

The table below is excerpted from Table 1B of 47 CFR 1.1310 titled Limits for Maximum Permissible Exposure (MPE), Limits for General
Population/Uncontrolled Exposure:

                         Frequency Range (MHz)                       Power density (mW/cm2)                       Averaging time (minutes)
                                300 – 1500                                  f (MHz) /1500                                      30
                              1500 – 100.000                                       1,0                                         30

The table below is excerpted from RSS-102, Issue 5, section 4, titled “RF Field Strength Limits for Devices Used by the General Public
(Uncontrolled Environment)”:

                         Frequency Range (MHz)                          Power density (W/m2)                     Reference Period (minutes)
                                                                                           0.6834
                                300 – 6000                                 0.02619ƒ                                             6
                               6000 - 15000                                           10                                        6
                              15000 - 150000                                          10                                 616000/ ƒ 1.2


Compliance analysis

                               PG
Using the equation       S            to calculate the exposure to electromagnetic fields
                              4R 2
where:      S = power density (in appropriate units, e.g. mW/cm 2)
            P = power input to the antenna (in appropriate units, e.g., mW)
            G = power gain of the antenna in the direction of interest relative to an isotropic radiator
            R = distance to the center of radiation of the antenna (appropriate units, e.g., cm)

compliance with FCC and IC MPE and EIRP limits is demonstrated based on the following calculations:

      1. Standalone analysis
         1.1    RF exposure in 2.4 GHz band:

Calculations done using the antenna gain specified for this band.


                                                 Maximum
                                     Reference
                                                 conducted                             Evaluation   Antenna              MPE limit    MPE limit
                         Frequency   frequency                                                                   S                                  Worst    MPE Ratio
Frequency                                          output                Duty cicle     distance     gain                 in USA     in Canada
               Mode        Range      (Lowest                TX slots                                         (mW/cm^2                            case MPE    (S/MPE
   Band                                            power                    (%)
                           (MHz)        freq.)                                                                    )                                 limit      limit)
                                                                                           R (cm)    (dBi)               (mW/cm2)    (mW/cm2)
                                        (MHz)
                                                 Pin (dBm)

                           2402 -
  2,4 ISM      BLE                    2402,0       5,49        N/A        100,0%             20      2,30      0,0012     1,0000      0,5351       0,5351     0,0022
                            2480
             BL + EDR      2402 -
  2,4 ISM                             2402,0       6,27        N/A        100,0%             20      2,30      0,0014     1,0000      0,5351       0,5351     0,0027
              (GFSK)        2480
             BL + EDR
                           2402 -
  2,4 ISM      (pi/4-                 2402,0       6,90        N/A        100,0%             20      2,30      0,0017     1,0000      0,5351       0,5351     0,0031
                            2480
              DQPSK)
             BL + EDR      2402 -
  2,4 ISM                             2402,0       6,82        N/A        100,0%             20      2,30      0,0016     1,0000      0,5351       0,5351     0,0030
             (8-DPSK)       2480
              WiFi 2.4
                           2412 -
  2,4 ISM       GHz                   2412,0       19,32       N/A        100,0%             20      2,30      0,0289     1,0000      0,5366       0,5366     0,0539
                            2462
             (802.11b)
              WiFi 2.4
                           2412 -
  2,4 ISM       GHz                   2412,0       17,21       N/A        100,0%             20      2,30      0,0178     1,0000      0,5366       0,5366     0,0332
                            2462
             (802.11g)
              WiFi 2.4
                GHz        2412 -
  2,4 ISM                             2412,0       16,42       N/A        100,0%             20      2,30      0,0148     1,0000      0,5366       0,5366     0,0276
            (802.11n20      2462
                 ))


     1.2    Maximum antenna gains for GSM and UMTS interfaces. Calculations done to comply with
MPE and EIRP limits
Now we calculate the maximum antenna gains so compliance with MPE and EIRP in both USA and Canada is fulfilled.

                                                                                                                                                                                                  Maximu
                                                                                                                                                                                                      m
                                                                                                                                 EIRP       EIRP                                                  Antenna
                                                   Maximum                                                                     limit in   limit in                                                  gain
                                      Referenc                                                                                                       Antenn      Antenn    Antenn      Antenn
                                                   conducte                                                                      USA      Canad                                                       to
                                           e                                                                                                          a gain      a gain    a gain      a gain
                                                       d                            Evaluatio     MPE limit     MPE limit         per         a                                                    comply
                         Frequenc     frequenc                            Duty                                                                       to meet     to meet   to meet     to meet
                                                     output       TX                    n          in USA      in Canada         FCC         per                                                    MPE
Frequenc                 y Range           y                              cicle                                                                        FCC         FCC       ISED        ISED
              Mode                                   power        slot              distance                                   §22,91     SRSP-                                                      and
 y Band                                (Lowest                                                                                                         MPE         EIRP      MPE         EIRP
                                                   (per tune-      s                              (mW/cm^      (mW/cm^             3,       503,                                                    EIRP
                          (MHz)          freq.)                           (%)                                                                          limit       limit     limit       limit
                                                      up)                             (cm)           2)           2)           §24,23     SRSP-                                                     in all
                                                                                                                                   2         510                                                  bands in
                                       (MHz)                                                                                                          G (dBi)    G (dBi)   G (dBi)     G (dBi)
                                                    (dBm)                                                                                                                                         USA and
                                                                                                                                 (W)          (W)                                                 Canada

                                                                                                                                                                                                    (dBi)
            GSM/GPR
                          824,2 -                                                                                              11,480     11,500
GSM 850      S (class                  824,2         32,50         2     25,0%         20          0,5495         0,2576                               7,93       8,09       4,64        8,10
                           848,8                                                                                                  0         0
                10)                                                                                                                                                                                 4,64
            WCDMA /       826,4 -                                        100,0                                                 11,480     11,500
UMTS B5                                826,4         23,50        N/A                  20          0,5509         0,2581                              10,92       17,09      7,63       17,10
             HSUPA         846,6                                          %                                                       0         0
            GSM/GPR
                         1850,2 -
PCS 1900     S (class                  1850,2        30,90         2     25,0%         20          1,0000         0,4477       2,0000     2,0000      12,13       2,11       8,64        2,11
                          1909,8
                10)                                                                                                                                                                                 2,11
            WCDMA /      1852,4 -                                        100,0
UMTS B2                                1852,4        23,40        N/A                  20          1,0000         0,4480       2,0000     2,0000      13,61       9,61       10,12       9,61
             HSUPA        1907,6                                          %


2.          Co-location analysis
2.1         Co-location with other transmitter in mobile exposure conditions
As specified in the operational description, cellular transmitter can work simultaneously with the transmitter in the 2.4GHz band so an analysis of the
co-location with other transmitter in mobile exposure conditions is required.

Only one of these 2.4 GHz modes works at a given moment and it can work simultaneously with any of the cellular modes.

According to KDB 447498 D01 General RF Exposure Guidance v06, 7.2:

            Simultaneous transmission MPE test exclusion applies when the sum of the MPE ratios for all simultaneous transmitting antennas
            incorporated in a host device, based on calculated or measured field strengths or power density, is ≤ 1.0.

As the maximum calculated MPE ratio for the device is 0.0539 in the mode WiFi 2.4 GHz (802.11n20), the product can be co-located with other
antennas in the cellular mode providing that the sum of the MPE ratios for all the other simultaneous transmitting antennas incorporated in a host
device, based on calculated or measured field strengths or power density is ≤ 1.0 – 0.0539 = 0.9461

2.2         RF exposure for GSM and UMTS modes

The antenna gains calculated in 1.2 are in compliance with 2 criteria, MPE and EIRP limits for both countries, USA and Canada.

Nevertheless there is a third criterion that we need to meet. As the cellular interface can work simultaneously with the 2.4 GHz interface, the MPE
ratio for each cellular mode must also be in compliance with the MPE Ratio for use in co-location defined in 2.1

The antenna gain of 2.11 dBi for the 1900 MHz band is not a problem.

If we would use an antenna gain of 4.64 dBi in the 850 MHz band, then the MPE Ratio for the GSM/GPRS (class 10) mode would be greater than
0.9461

Hence, to comply with this third criterion of MPE ratio to work in co-location below 0.9461, the antenna gain has to be reduced until 4.37 dBi

The table below shows the values of S and the MPE ratio under these conditions

                                                                                                                    Maximum
                                                                                                                     Antenna
                                                       Maximum                                                         gain
                                        Reference      conducted                                                    to comply
                                                                                                                                                     MPE limit      MPE limit
                          Frequency     frequency        output                                      Evaluation      MPE and              S                                                      MPE Ratio
                                                                                      Duty cicle                                                      in USA       in Canada
Frequency                   Range        (Lowest         power                                        distance         EIRP                                                        Worst
               Mode                                                      TX slots
   Band                                    freq.)      (per tune-                                                      in all       (mW/cm^2                                     case MPE         (S/MPE
                                                                                            (%)                                                      (mW/cm^2     (mW/cm^2
                            (MHz)                         up)                                           (cm)         bands in           )                                                          limit)
                                                                                                                                                         )            )
                                           (MHz)                                                                     USA and
                                                       Pin (dBm)                                                     Canada

                                                                                                                       (dBi)
             GSM/GPR
                            824,2 -
GSM 850       S (class                     824,2          32,50             2           25,0%            20            4,37             0,2423        0,5495        0,2576           0,2576       0,9407
                             848,8
                 10)
             WCDMA /        826,4 -
UMTS B5                                    826,4          23,50            N/A          100,0%           20            4,37             0,1220        0,5509        0,2581           0,2581       0,4729
              HSUPA          846,6
             GSM/GPR
                           1850,2 -
PCS 1900      S (class                    1850,2          30,90             2           25,0%            20            2,11             0,0995        1,0000        0,4477           0,4477       0,2222
                            1909,8
                 10)
             WCDMA /       1852,4 -
UMTS B2                                   1852,4          23,40            N/A          100,0%           20            2,11             0,0708        1,0000        0,4480           0,4480       0,1579
              HSUPA         1907,6


3           Conclusion

To meet all the established criteria, the antenna gains in the cellular modes must be:

            Frequency range                               Antenna gain
            850 MHz band                                  4.37 dBi
            1900 MHz band                                 2.11 dBi
            2.4 GHz band                                  2.3 dBi


Final MPE with Co-location.
The worst cases of working in co-location are below.
They are WiFi 2.4 GHz (802.11b) and GSM/GPRS (class 10)

The antenna gain used for the 850 MHz band is the optimum case to comply with the MPE and EIRP limits and additionally give an MPE ratio
below 0.9461 as calculated in 2.2

                                                Maximum
                                                conducted
                                    Reference
                                                  output                             Evaluation   Antenna              MPE limit    MPE limit
                        Frequency   frequency                                                                  S                                  Worst    MPE Ratio
Frequency                                         power                 Duty cicle    distance     gain                 in USA     in Canada
              Mode        Range      (Lowest                 TX slots                                       (mW/cm^2                            case MPE    (S/MPE
   Band                                         (per tune-                 (%)
                          (MHz)        freq.)                                                                   )                                 limit      limit)
                                                   up)                                R (cm)       (dBi)               (mW/cm2)    (mW/cm2)
                                       (MHz)
                                                Pin (dBm)
             WiFi 2.4
                         2412 -
 2,4 ISM       GHz                   2412,0       19,32        N/A       100,0%         20         2,30      0,0289     1,0000      0,5366       0,5366     0,0539
                          2462
            (802.11b)
            GSM/GPR
                         824,2 -
GSM 850      S (class                 824,2       32,50         2        25,0%          20         4.37      0,2423     0,5495      0,2576       0,2576     0,9407
                          848,8
                10)


The sum of MPE ratios in this case is 0.0539 + 0.9407 = 0.9946

The sum of S for both modes is 0.0289 + 0.2423 = 0.2713 (mW/cm^2)  S = 2.713 W/m^2

In compliance with all limits of MPE, EIRP and MPE for working in co-location

PA




By: Brian Tucker
Title: Senior Vice President of Quality
Company: Telit Wireless Solutions, Inc.



Document Created: 2016-12-15 16:35:37
Document Modified: 2016-12-15 16:35:37

© 2024 FCC.report
This site is not affiliated with or endorsed by the FCC