MPE Report

FCC ID: LDKC11011757

RF Exposure Info

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FCCID_4045602

EDCS – 13349131




          Maximum Permissible Exposure Study - Engineering Analysis


                             ISR-AP1101AC-I-B (WLAN)
                                P-LTE-VZ (Cellular)
                                P-LTE-EA (Cellular)

                   Inside of C1109-4PLTE2PWB host router
                                         FCC ID: LDKC11011757

       700MHz-2700MHz (Cellular), 2400-2483.5 MHz, 5150-5250 MHz,

                   5250-5350 MHz, 5470-5725 MHz, 5725-5850 MHz
                                      Against the following Specifications:
                                     47 Code of Federal Regulations 2.1091

                                                 Cisco Systems
                                              170 West Tasman Drive
                                               San Jose, CA 95134




 Author: Julian Land                                   Approved By:
 Tested By: Julian Land                                Title:
                                                       Revision: See EDCS


This report replaces any previously entered test report under EDCS – 13349131. This test report has been electronically
authorized and archived using the CISCO Doc Central. Test Report Template EDCS# 11556830.


EDCS – 13349131

Attestation Statement of Compliance

The Cisco ISR-AP1101AC-I-B Wi-Fi module has been evaluated for Maximum Permissible Exposure in
compliance with 47 Code of Federal Regulations [Part 1.1307(b) (for fixed devices), Part 2.1091 (for
mobile devices), and Part 2.1093 (for portable devices)]. Part 1.1307(b) refers to limits in Part 1.1310 and
2.1093. The evaluation was in accordance with methodology as referenced in KDB 447498 D01 General
RF Exposure Guidance v06. This report serves as the additional technical analysis of the Cisco radio
modules.

This study addresses the following transmitters using the data derived in these test reports:

2.4GHz DTS report EDCS# 12316909
5GHz UNII-1 report EDCS# 12777514
5GHz UNII-2 report EDCS# 12857632
5GHz UNII-2ext reports EDCS# 12857638
5GHz UNII-3 report EDCS# 12857642
Cellular (info derived from the documents: AirPrime EM7455 Product Technical Specification & Customer
Design Guidelines and Cisco LTE-ANTM-D antenna)
Cellular (info derived from the documents: AirPrime_WP76xx_Product_Technical_Specification_
Rev6_2.pdf and Cisco LTE-ANTM-D antenna)


The limits used for this evaluation are in line with the recommendations of the World Health Organizations
(WHO) International Committee on Non Ionizing Radiation Protection (ICNIRP) as well as the American
National Standards Institute (ANSI) C95.1.

The limits chosen are of General Population/Uncontrolled Exposure.


The following case scenarios were used:
    •   Cellular pluggable 1
    •   Cellular pluggable 2
    •   2.4GHz WLAN
    •   5GHz WLAN

This device must be installed to provide a separation distance of at least 20 cm from all
persons. Installers must be provided with antenna installation and transmitter operating conditions for
satisfying RF exposure compliance.

Based on the study this case scenario, the General Population/Uncontrolled Exposure and the minimum
recommended distance is around 20cm (8 inches) from the antenna.


EDCS – 13349131

1.0   EUT Description

The C1109 is an enterprise/MSP/M2M next generation router with the unified platform idea GE
WAN, next generation Wave 2 802.11a/g/n/ac WLAN and LTE WWAN on Polaris IOS XE.

        The ISR-AP1101AC-I-B supports the following radio modes:
        802.11b - Legacy CCK, One Antenna, 1 to 11 Mbps
        802.11b - Legacy CCK, Two Antennas, 1 to 11 Mbps

        802.11g - Non HT20, One Antenna, 6 to 54 Mbps, 1ss
        802.11g - Non HT20, Two Antennas, 6 to 54 Mbps, 1ss

        802.11g - Non HT20 Beam Forming, Two Antennas, 6 to 54 Mbps, 1ss

        802.11a - Non HT20, One Antenna, 6 to 54 Mbps, 1ss
        802.11a - Non HT20, Two Antennas, 6 to 54 Mbps, 1ss

        802.11a - Non HT20 Beam Forming, Two Antennas, 6 to 54 Mbps, 1ss

        802.11n/ac - HT/VHT20, One Antenna, M0 to M7, 1ss
        802.11n/ac - HT/VHT20, Two Antennas, M0 to M7, 1ss
        802.11n/ac - HT/VHT20, Two Antennas, M8 to M15, 2ss

        802.11n/ac - HT/VHT20 Beam Forming, Two Antennas, M0 to M7, 1ss
        802.11n/ac - HT/VHT20 Beam Forming, Two Antennas, M8 to M15, 2ss

        802.11n/ac - HT/VHT20 STBC, Two Antennas, M0 to M7, 2ss

        802.11a - Non HT40, One Antenna, 6 to 54 Mbps, 1ss
        802.11a - Non HT40, Two Antennas, 6 to 54 Mbps, 1ss

        802.11n/ac - HT/VHT40, One Antenna, M0 to M7, 1ss
        802.11n/ac - HT/VHT40, Two Antennas, M0 to M7, 1ss
        802.11n/ac - HT/VHT40, Two Antennas, M8 to M15, 2ss

        802.11n/ac - HT/VHT40 Beam Forming, Two Antennas, M0 to M7, 1ss
        802.11n/ac - HT/VHT40 Beam Forming, Two Antennas, M8 to M15, 2ss

        802.11n/ac - HT/VHT40 STBC, Two Antennas, M0 to M7, 2ss

        802.11a - Non HT80, One Antenna, 6 to 54 Mbps, 1ss
        802.11a - Non HT80, Two Antennas, 6 to 54 Mbps, 1ss

        802.11n/ac - HT/VHT80, One Antenna, M0 to M7, 1ss
        802.11n/ac - HT/VHT80, Two Antennas, M0 to M7, 1ss
        802.11n/ac - HT/VHT80, Two Antennas, M8 to M15, 2ss

        802.11n/ac - HT/VHT80 Beam Forming, Two Antennas, M0 to M7, 1ss
        802.11n/ac - HT/VHT80 Beam Forming, Two Antennas, M8 to M15, 2ss

        802.11n/ac - HT/VHT80 STBC, Two Antennas, M8 to M15, 2ss


EDCS – 13349131




The following antennas are supported by this product series.
The data included in this report represent the worst case data for all antennas.
                                                                                       Antenna Gain
     Frequency               Part Number                    Antenna Type                      (dBi)
   2.4GHz / 5GHz              07-1147-01                         Dipole                    2.14 / 4
                                                          Ceiling Mount Omni
   2.4GHz / 5GHz
                             07-100497-01                      Directional                 2.14 / 4
   2.4GHz / 5GHz             07-100496-01                     Roof Mount                   2.14 / 4
       700MHz-                                                                                3.7
                                                       Cisco 3G/4G LTE and LTEA        (worst case for all
       2700MHz               LTE-ANTM-D               Omnidirectional Dipole Antenna   supported bands)


EDCS – 13349131

2.0   Methodology

All calculations were made in accordance with ANSI C95.1.



Measurement Uncertainty Values
 Parameter                                             Max MU from   Declared MU
                                                       standard

 Occupied Channel Bandwidth                            +/- 5%        +/-2%

 RF Output Power, conducted                            +/- 1,5dB     +/-1.4dB

 Power Spectral Density, conducted                     +/- 3dB       +/- 2dB

 Unwanted emissions, conducted                         +/- 3dB       +/- 2dB

 All emissions, radiated                               +/- 6dB       +/- 3.2dB

 Temperature                                           +/- 3C        +/- 0.7C

 Supply Voltages                                       +/- 3%        +/- 2.5%

 Time                                                  +/- 5%        +/-2%


EDCS – 13349131


3.0     Technical Requirements


          3.1     Single Band Operation – Limits



FCC Limits for Maximum Permissible Exposure (MPE)
(A) Limits for Occupational/Controlled Exposure


      Frequency          Electric Field     Magnetic Field      Power Density     Averaging Time
        Range            Strength (E)       Strength (H)            (S)            |E|2, |H|2 or S
        (MHz)               (V/m)               (A/m)             (mW/cm2)           (minutes)

    0.3-3.0                  614                 1.63              (100)*                6
    3.0-30                  1842/f              4.89/f            (900/f2)*              6
    30-300                   61.4               0.163                1.0                 6
   300-1500                   --                  --                f/300                6
 1500-100,000                 --                  --                  5                  6


(B) Limits for General Population/Uncontrolled Exposure


      Frequency          Electric Field     Magnetic Field      Power Density     Averaging Time
        Range            Strength (E)       Strength (H)            (S)            |E|2, |H|2 or S
        (MHz)               (V/m)               (A/m)             (mW/cm2)           (minutes)

   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
   300-1500                    --                 --               f/1500               30
 1500-100,000                  --                 --                 1.0                30

                         f = frequency in MHz   *Plane-wave equivalent power density

NOTE 1: See Section 1 for discussion of exposure categories.

NOTE 2: The averaging time for General Population/Uncontrolled exposure to fixed transmitters is not
         applicable for mobile and portable transmitters. See 47 CFR §§2.1091 and 2.1093 on source-
         based time-averaging requirements for mobile and portable transmitters.


EDCS – 13349131

4.0   Calculations

  Given
               E=√(30*P*G)/d and     S=E^2/3770
  where
               E=Field Strength in Volts/meter
               P=Power in Watts
               G=Numeric Antenna Gain
               d=Distance in meters
               S=Power Density in mW/cm^2

  Combine equations and rearrange the terms to express the distance as a function of the remaining
  variables:
             d=√((30*P*G)/(3770*S))

  Changing to units of power in mW and distance in cm, using:
              P(mW)=P(W)/1000       d(cm)=100*d(m)
  yields
              d=100*√((30*(P/1000)*G)/(3770*S))
              d=0.282*√(P*G/S)
  where
              d=Distance in cm
              P=Power in mW
              G=Numeric Antenna Gain
              S=Power Density in mW/cm^2

  Substituting the logarithmic form of power and gain using:
                P(mW)=10^(P(dBm)/10)         G(numeric)=10^(G(dBi)/10)
  yields
                d=0.282*10^((P+G)/20)/√S                     Equation (1)
  and
                s=((0.282*10^((P+G)/20))/d)^2                Equation (2)
  where
                d=MPE distance in cm
                P=Power in dBm
                G=Antenna Gain in dBi
                S=Power Density in mW/cm^2


EDCS – 13349131

5.0   Results

        Equation (1) and the measured peak power are used to calculate the MPE distance. Note that for
        mobile or fixed location transmitters such as an access point, the minimum separation distance is
        20 cm even if the calculations indicate that the MPE distance may be less.

        S=1mW/cm^2 maximum. Using the peak power levels recorded in the test report along with
        Equation 1 above, the MPE distances are calculated as follows.

MPE Calculations:
                                    Radiated
                        Power       Transmit      Antenna       MPE
       Frequency       Density       Power         Gain       Distance        Limit           Margin
         (MHz)        (mW/cm2)       (dBm)         (dBi)        (cm)          (cm)             (cm)
         Cellular       0.114          24           3.58        9.89           20             10.11
          (698)
         Cellular       0.113           24          3.53         9.32           20            10.68
          (777)
      2.4GHz DTS        0.073         20.53         5.14*        5.42           20            14.58
         UNII-1         0.075         18.77           7*         5.48           20            14.52
        UNII-2A         0.077         18.87           7*         5.54           20            14.46
        UNII-2C         0.081         19.12           7*         5.70           20            14.30
         UNII-3         0.077         18.87           7*         5.54           20            14.46
*Correlated Gain

To maintain compliance, installations will assure a separation distance of at least 20 cm.

Using Equation 2, the MPE levels (s) at 20 cm are calculated as follows:

                                    Radiated
                        MPE         Transmit      Antenna       Power
       Frequency      Distance       Power         Gain        Density        Limit           Margin
         (MHz)          (cm)         (dBm)         (dBi)      (mW/cm2)      (mW/cm2)         (mW/cm2)
         Cellular        20            24           3.58        0.114         0.465            0.350
          (698)
         Cellular         20            24          3.53         0.113         0.518          0.410
          (777)
      2.4GHz DTS          20          20.53         5.14*        0.073          1.0           0.927
         UNII-1           20          18.77           7*         0.075          1.0           0.925
        UNII-2A           20          18.87           7*         0.077          1.0           0.923
        UNII-2C           20          19.12           7*         0.081          1.0           0.919
         UNII-3           20          18.87           7*         0.077          1.0           0.923
* Correlated Gain


 EDCS – 13349131

 Calculations with additional transmitters

 LTE (Highest Power)
 LTE (Highest Power)
 2.4GHz WLAN (Highest power)
 5GHz WLAN (Highest power)

Total Power Densities (Percentages) = 2.4GHz Power Density % + 5GHz Power Density %
                                       + LTE1 Power Density % + LTE2 Power Density %

Total Relative Power Densities (Percentages) = (0.073/1.0)*100 + (0.081/1.0)*100 + (0.114/0.465)*100 +
                                                  (0.113/0.518)*100 = 7.3 % + 8.1 % + 24.5% + 21.8%
                                             = 61.7%

  Distance (estimate) = 20*   % = 20*(0.617)^0.5 = 15.71 cm

 The calculated separation distance of 15.71 cm is less than the 20 cm recommended distance.

 The configuration above co-location calculation is for General Population/Uncontrolled exposure. The
 minimum distance recommended is 20 cm (8 inches) when all antennas are within 20 cm of each other.


EDCS – 13349131

References

American National Standards Institute (ANSI), "Safety Levels with Respect to Human Exposure to
Radio Frequency Electromagnetic Fields, 3 kHz to 300 GHz," ANSI/IEEE C95.1-1992 (previously issued
as IEEE C95.1-1991). Copyright 1992 by the Institute of Electrical and Electronics Engineers, Inc.
(IEEE), New York, N.Y. 10017. For copies contact the IEEE: 1-800-678-4333 or 1-908-981-1393.
American National Standards Institute (ANSI), "Recommended Practice for the Measurement of
Potentially Hazardous Electromagnetic Fields - RF and Microwave”. ANSI/IEEE C95.3-1992. Copyright
1992, The Institute of Electrical and Electronics Engineers, Inc. (IEEE), New York, NY 10017. For copies
contact the IEEE: 1-800-678-4333 or 1-908-981-1393.



Document Created: 2018-10-18 16:29:27
Document Modified: 2018-10-18 16:29:27

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