MPE from FCC ID XPY2AGQN4NNN

FCC ID: NS9N920X2

RF Exposure Info

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FCCID_4142587

June 02, 2017

TUV SUD BABT
Octagon House, Concorde Way
Segensworth Rd N, Fareham
PO15 5RL

Attention: Director of Certification

FCC ID: XPY2AGQN4NNN
IC: 8595A-2AGQN4NNN

RE: Antenna gain calculation per guidance from KDB 447498 D01 Mobile Portable RF Exposure v06 and
RSS-102 Issue 5 March 2015.

  EUT                                     u-blox San Diego, Inc. SARA-R410M LTE Cat-M1 Module
  Input Power of the Antenna              25.0 dBm / 0.316 mW (LTE Band 2, 4, 5 and 12)
  Frequency                               699.7 MHz (LTE B12) to 1909.3 MHz (LTE B2)
                                          4.66467 W/m2 @ 699.7 MHz
  FCC Limit (§1.1310 (d)(4))
                                          10 W/m2 @ 1909.3 MHz
                                          2.30329 W/m2 @ 699.7 MHz
  RSS-102 RF Limits (Table 4)             4.24313 W/m2 @ 1710.7 MHz (worst case channel above 1GHz
                                          LTE Band 4)
  User separation distance                20 cm

Equation for predicting RF field was used to determine the maximum antenna gain that can be used with
the EUT and still comply with the requirements:

                                                                  𝑃𝐺
                                                           𝑆=
                                                                 4𝜋𝑟 2


         Where:                     S=the power flux
                                    P=input power of the antenna
                                    G=antenna gain relative to an isotropic antenna
                                    r=distance from the antenna to the point of investigation



         TÜV SÜD AMERICA INC 10040 Mesa Rim Road San Diego, CA 92121-2912 Phone: 858 678 1400 FAX: 858 546 0364


From this formula, using 0.230329 mW/cm2 as S (worst case than FCC limit), 20 cm as r then the antenna
gain G is calculated. This is the maximum antenna gain in dBi that can be used with the EUT while still in
compliance with the power density requirements.

                                                                4𝜋𝑟 2 𝑆
                                                          𝐺=
                                                                  𝑃

                                               4𝜋(20 𝑐𝑚)2 (0.230329 𝑚𝑊/𝑐𝑚2 )
                                         𝐺=
                                                         316.0 𝑚𝑊

                                                               1157.76
                                                       𝐺=
                                                              316.0 𝑚𝑊


Therefore G = 3.67 dBi for Band 12 and 4.1 dBi for Band 5 (using the same calculation approach)

Using the same calculation for LTE Band 2:


                                           4𝜋(20 𝑐𝑚)2 (0.424313 𝑚𝑊/𝑐𝑚2 )
                                        𝐺=
                                                      316.0 𝑚𝑊

                                                               2132.83
                                                       𝐺=
                                                              316.0 𝑚𝑊


Therefore G = 6.74 dBi for Band 4 and 7.12 dBi for Band 2 (using the same calculation approach)


Sincerely,


 Ferdie S. Custodio
 Name
 Authorized Signatory
 Title: Senior EMC/Wireless Test Engineer




         TÜV SÜD AMERICA INC 10040 Mesa Rim Road San Diego, CA 92121-2912 Phone: 858 678 1400 FAX: 858 546 0364



Document Created: 2017-06-02 11:28:08
Document Modified: 2017-06-02 11:28:08

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