RFx

FCC ID: PGR-NVG5XDBAC

RF Exposure Info

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FCCID_4320457

       RF Exposure Exhibit

       EUT Name: Wi-Fi Module
       Model No.: NVG5X8AC
       CFR Part 1.1310 and RSS 102

                  Prepared for:
                                  ARRIS International plc
                                  310 Province Mine Road, Ste. 200
                                  Nevada City, CA 95959
                                  Tel: (530) 274-5440
                                  Fax: (530) 273-6340

                  Prepared by:
                                  TUV Rheinland of North America, Inc.
                                  1279 Quarry Lane
                                  Pleasanton, CA 94566
                                  Tel: (925) 249-9123
                                  Fax: (925) 249-9124
                                  http://www.tuv.com/

                       Report/Issue Date:    June 10, 2019
                       Report Number:        MPE Calculation




Report Number: MPE Calculation                                            Page 1 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                                                                                 RF Exposure Limit
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124




Contents
RF Exposure Exhibit ........................................................................................................... 1
1     Test Methodology ............................................................................................................. 3
    1.1       RF Exposure Limit................................................................................................................... 3
    1.2       EUT Operating Condition ....................................................................................................... 5
    1.3       MPE calculation ....................................................................................................................... 5
      1.3.1      Antenna Gain ............................................................................................................................................. 5
      1.3.2      Conducted Output Power .......................................................................................................................... 5
      1.3.3      Output Power into Antenna & RF Exposure value (Non-Beamforming Mode) ...................................... 6
      1.3.4      RF Exposure value when 3 radios operating simultaneously (Non-Beamforming Mode)..................... 14
      1.3.5      Output Power into Antenna & RF Exposure value (Beamforming Mode) ............................................ 15
      1.3.6      RF Exposure value when 2 radios operating simultaneously (Beamforming Mode) ............................. 19
      1.3.7      Sample Calculation .................................................................................................................................. 20




Report Number: MPE Calculation                                                                                                                           Page 2 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                          RF Exposure Limit
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124




1        Test Methodology
In this document, we evaluate the RF Exposure to human body due the intentional transmission from the
transmitter (EUT). The limit for Maximum Permissible Exposure (MPE) specified in FCC 1.1310 is
followed. Through the Friis transmission formula and the maximum gain of the antenna, we can calculate
the distance, away from the product, where the limit of MPE is reached.
Although the Friis transmission formula is a far field assumption, the calculated result of that is an over-
prediction for near field power density. We will take that as the worst case to specify the safety range.



1.1      RF Exposure Limit
According to FCC 1.1310 table 1: The criteria listed in the following table shall be used to evaluate the
environmental impact of human exposure to radio-frequency (RF) radiation as specified in 1.1307(b)


LIMITS FOR MAXIMUM PERMISSIBLE EXPOSURE (MPE)


    Frequency
                      Electric Field       Magnetic Field      Power Density           Average Time
      Range
                     Strength (V/m)        Strength (A/m)         (mW/cm2)               (minutes)
      (MHz)

                        (A)Limits For Occupational / Control Exposures
      0.3-1.34              614                  1.63                 *(100)                   6
      1.34-30              1842/f                4.89/f              *(900/f²)                 6
      30-300                61.4                 0.163                  1.0                    6
      30-1500                …                    …                   F/300                    6
    1500-100000              …                    …                     1.0                    6
                  (B)Limits For General Population / Uncontrolled Exposure
      0.3-1.34              614                  1.63                 *(100)                   30
      1.34-30               824/f                2.19/f              *(180/f²)                 30
      30-300                27.5                 0.073                  0.2                    30
      30-1500                …                    …            F(MHz)/1500MHz                  30
    1500-100000              …                    …                     1.0                    30
F = Frequency in MHz
*=Plane wave equivalent density


Report Number: MPE Calculation                                                                  Page 3 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                             RF Exposure Limit
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124


According to RSS-102 Issue 5: The criteria listed in the following table shall be used to evaluate the
environmental impact of human exposure to radio-frequency (RF) radiation


RF FIELD STRENGTH LIMITS FOR DEVICES USED BY THE GENERAL PUBLIC
(UNCONTROLLED ENVIRONMENT)


    Frequency Range           Electric Field          Magnetic Field       Power Density Reference Period
         (MHz)                 (V/m rms)               (A/m rms)             (W/m2)         (minutes)

            0.003-1021               83                      90                  -            Instantaneous*
           0.1-10                     -                      0.73/ ƒ             -                  6**
                                             0.5
           1.1-10                    87/ ƒ                    -                  -                  6**
            10-20                  27.46                     0.0728              2                   6
            20-48                 58.07/ ƒ 0.25         0.1540/ ƒ 0.25        8.944/ ƒ 0.5           6
               48-300              22.06                    0.05852            1.291                 6
             300-6000            3.142 ƒ 0.3417       0.008335 ƒ 0.3417     0.02619ƒ0.6834           6
          6000-15000                61.4                   0.163                10                   6
        15000-150000                61.4                   0.163                10              616000/ ƒ 1.2
       150000-300000               0.158 ƒ 0.5         4.21 x 10-4 ƒ 0.5     6.67 x 10-5 ƒ      616000/ ƒ 1.2
        Note: ƒ is frequency in MHz.
        *Based on nerve stimulation (NS).
        ** Based on specific absorption rate (SAR).




Report Number: MPE Calculation                                                                    Page 4 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                 EUT Operating Condition
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124



1.2      EUT Operating Condition
The Model NVG5X8AC, is a Wi-Fi Module for the home capable of operating in the 2.4 GHz and 5 GHz
frequency bands over 20 MHz, 40 MHz and 80 MHz channels.


1.3       MPE calculation

1.3.1      Antenna Gain
The antennas used are:
      1. Wifi 2.4 GHz PCB Antenna peak gain: +3.8 dBi
      2. Wifi 5.15-5.25 GHz PCB Antenna peak gain: +4.8 dBi; Total directional gain: 8.2 dBi
      3. Wifi 5.725-5.850 GHz PCB Antenna peak gain: +4.6 dBi; Total directional gain: 8.8 dBi

1.3.2      Conducted Output Power
      1. Wifi 2.4 GHz Band, TUV Test Report 31962242.001:
         1x4 mode max power: 25.99 dBm (397.19 mW) at 2.437 GHz
         4x4 mode total power: 28.39 dBm (690.24 mW) at 2.412 GHz
      2. FCC Wifi 5 GHz Band (UNII-1), TUV Test Report 31962243.001:
         1x4 mode max power: 23.96 dBm (248.89 mW) at 5.24 GHz
         4x4 mode total power: 26.01 dBm (399.02 mW) at 5.23 GHz
      3. ISED Wifi 5 GHz Band (UNII-1), TUV Test Report 31962243.001:
         1x4 mode max power: 18.16 dBm (65.46 mW) at 5.19 GHz
         4x4 mode total power: 14.78 dBm (30.06 mW) at 5.21 GHz
      4. Wifi, 5 GHz Band (UNII-3), TUV Test Report 31962244.001:
         1x4 mode max power: 25.80 dBm (380.19 mW) at 5.765 GHz
         4x4 mode total power: 27.15 dBm (518.80 mW) at 5.755 GHz




Report Number: MPE Calculation                                                                 Page 5 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                       MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124



1.3.3 Output Power into Antenna & RF Exposure value (Non-Beamforming Mode)
Calculations are based on highest power measurement and its antenna gain, therefore 2.437 GHz. Result
below is Non-Beamforming Mode (1x4).


FCC:




Report Number: MPE Calculation                                                            Page 6 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                          MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124


ISED:




Report Number: MPE Calculation                                               Page 7 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                        MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124


Calculations are based on highest power measurement, then summed 4 chains and its antenna gain,
therefore 2.437 GHz. Result below is Non-Beamforming Mode (4x4).


FCC:




Report Number: MPE Calculation                                                             Page 8 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


1|
 Corrected (including cal factors) Measurment:                dm
                      The Gain of the antenna:                dBi
                          Type of Measurment:                     Direct measurement at Antenna Port
                                    Impedance:                O
                           Measuring Distance:                m
                    Time weighted Duty Cycle:                 %


                     The Power Out would be: 0.690239804 Watts
                                         or:   690.23980 mW
                                         or:   690239.80 pW
                                             or:        28.39 ddm




             Frequency range from 10 MHz to 40 GHz:
                     Frequeney|—cjone
          Power output with DC and antenna Gain (ERP):
                               Power (dBm):      3219
                                 Power (mW):]      1655.770
                                   Power (W):|     1.655770

                                                              em

                                          IC:
              Controlled Exposures to Limit =) 31.70187129 |W/m*
              Uncontrolled Exposures Limit =| 5.366018278 |W/m*
                                          Pd =|_   3.294050   _|W/m*
                  Controlled Margin to Limit =|_   284078     __|W/m*
                Uncontrolled Margin to Limit =      20720     __|W/m*


   TUV Rheinland                                                                        MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124


Calculations are based on highest power measurement and its antenna gain, therefore 5.24 GHz. Result
below is Non-Beamforming Mode (1x4).


FCC:




Report Number: MPE Calculation                                                            Page 10 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                        MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124


Calculations are based on highest power measurement and its antenna gain, therefore 5.19 GHz. Result
below is Non-Beamforming Mode (1x4).


ISED:




Report Number: MPE Calculation                                                            Page 11 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                        MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124


Calculations are based on highest power measurement and its antenna gain, therefore 5.765 GHz. Result
below is Non-Beamforming Mode (1x4).


FCC:




Report Number: MPE Calculation                                                            Page 12 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                          MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124


ISED:




Report Number: MPE Calculation                                             Page 13 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                      MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124



1.3.4 RF Exposure value when 2 radios operating simultaneously (Non-Beamforming
      Mode)
Non-Beamforming Exposure result (FCC)
 Operating Frequency (MHz)         Power Density (mW/cm²)
                2412                              0.33
               * 5765                             0.22
                                                  0.55             Total Power Density (mW/cm²)
                                                                    Uncontrolled Exposure Limit
                                                  1.00
                                                                            (mW/cm²)
                                                  -0.45                      Margin (mW/cm²)
Note: 1. * = worst case in the UNII band
      2. Minimum distance from the user must be at 20 cm




Non-Beamforming Exposure result (ISED)
    Operating       Power Density
                                       Limit (W/cm²)            Ratio
Frequency (MHz)        (W/cm²)
        2412                  0.61               5.37           0.61
       * 5765                 0.22               9.73           0.22
                                                                0.84                 ∑ ratio
Note: 1. The MPE calculation for simultaneous transmission is less than 1.
       2. * = worst case in the UNII band
       3. Minimum distance from the user must be at 20 cm




Report Number: MPE Calculation                                                         Page 14 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                   MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124



1.3.5 Output Power into Antenna & RF Exposure value (Beamforming Mode)
Calculations are based on highest power measurement, then summed 4 chains and total antenna gain,
therefore 5.23 GHz. Result below is Beamforming Mode (4x4).


FCC:




Report Number: MPE Calculation                                                       Page 15 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                   MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124


Calculations are based on highest power measurement, then summed 4 chains and total antenna gain,
therefore 5.21 GHz. Result below is Beamforming Mode (4x4).
ISED:




Report Number: MPE Calculation                                                       Page 16 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                   MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124


Calculations are based on highest power measurement, then summed 4 chains and total antenna gain,
therefore 5.755 GHz. Result below is Beamforming Mode (4x4).


FCC:




Report Number: MPE Calculation                                                       Page 17 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                          MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124


ISED:




Report Number: MPE Calculation                                             Page 18 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                           MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124



1.3.6 RF Exposure value when 1 radio operating in the UNII band (Beamforming Mode)
Beamforming Mode Exposure result (FCC)
      Frequency (MHz)              Power Density (mW/cm²)
             * 5755                                0.78
                                                   0.78                 Total Power Density (mW/cm²)
                                                                         Uncontrolled Exposure Limit
                                                   1.00
                                                                                 (mW/cm²)
                                                  -0.22                        Margin (mW/cm²)
Note: 1. * = worst case in the UNII band
      2. Minimum distance from the user must be at 20 cm




Beamforming Mode Exposure result (ISED)
    Operating       Power Density
                                      Limit (W/cm²)                 Ratio
 Frequency (MHz)      (W/cm²)
       * 5755                 7.83               9.72                0.81
                                                                     0.81                  ∑ ratio
Note: 1. The MPE calculation for simultaneous transmission is less than 1.
       2. * = worst case in the UNII band
       3. Minimum distance from the user must be at 20 cm




As originally tested, the EUT was found to be compliant to the requirements of the test standard(s).
FCC and ISED: Minimum distance from the user must be at 20 cm.




Report Number: MPE Calculation                                                               Page 19 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC


   TUV Rheinland                                                                            MPE calculation
1279 Quarry Lane, Ste. A, Pleasanton, CA 95466
Tel: (925) 249-9123, Fax: (925) 249-9124



1.3.7 Sample Calculation

                The Friss transmission formula: Pd = (Pout*G) / (4*π*R 2)

                         Where;
                                  Pd = power density in mW/cm2
                                  Pout = output power to antenna in mW
                                  G = gain of antenna in linear scale
                                  π ≈ 3.1416
                                  R = distance between observation point and center of the radiator in cm



Ref. : David K. Cheng, Field and Wave Electromagnetics, Second Edition, Page 640, Eq. (11-133).




Report Number: MPE Calculation                                                                Page 20 of 20
Model: NVG5X8AC
Report Date: June 10, 2019
                             FCC ID: PGR-NVG5XDBAC; IC: 3439B-NVG5XDBAC



Document Created: 2019-06-17 07:42:42
Document Modified: 2019-06-17 07:42:42

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