Exhibit 2 GPS Repeater Power Calculations

0178-EX-CM-2018 Text Documents

General Motors Research Corporation

2018-09-24ELS_216652

                                               Exhibit #2

GPS Re-Radiation System Technical Description
GM proposes to install the seven (7) fixed GPS re-radiation GLI-Metro-G repeaters which will be located
indoors in the test crash hall, which is a facility/building located at the General Motors Milford Proving
Grounds in Milford, Michigan. The building in question is used exclusively for GM operations to conduct
vehicle crash testing and telematics system testing under a variety of constraints and scenarios.

A total of two rooftop active antennas (one existing, one new) will be used and locations are as follows:


  No.         Rooftop Antenna              Latitude                Longitude               Location
            (receives GPS signal
               from satellites)
  1.           Active Antenna                           FCC license acquired already

  2.          Active Antenna            42°33'52.76"N           83°40'42.19"W          Outdoor/Rooftop



The locations of the GPS Repeaters (with their attached passive transmitting antennas) for which GMRC
seeks approval are given in the following table. Repeater 1 is existing and an FCC license has already
been acquired for it; only a change in power level and elimination of L2 is being proposed. GMRC
proposes to add Repeaters 2, 3, 4, 5, 6, 7, and 8 to the license.



 Repeater     Transmitting Equipment             Latitude                Longitude            Location

       1       GLI-Metro-G Repeater          42°33'56.60"N            83°40'42.70"W            Indoor

       2       GLI-Metro-G Repeater          42°33'55.53"N            83°40'42.70"W            Indoor

       3       GLI-Metro-G Repeater          42°33'54.41"N            83°40'42.70"W            Indoor

       4       GLI-Metro-G Repeater          42°33'53.29"N            83°40'42.70"W            Indoor

       5       GLI-Metro-G Repeater          42°33'54.53"N            83°40'42.41"W            Indoor

       6       GLI-Metro-G Repeater          42°33'53.54"N            83°40'42.41"W            Indoor

       7       GLI-Metro-G Repeater          42°33'52.54"N            83°40'42.41"W            Indoor

       8       GLI-Metro-G Repeater          42°33'52.54"N            83°40'42.53"W            Indoor




                                                                                                            1


Below is the system diagram of the crash test facility, showing the GPS repeater locations.




Below is the aerial view of the crash test facility with the GPS repeater locations (1 is existing; 2, 3, 4, 5,
6, 7, and 8 are proposed).




                                                                                                                  2


Emission Calculations
Emission calculation per antenna/GPS repeater1 are explained below, and compliance with Redbook
section 8.3.27 is demonstrated.

The calculations are performed based on the fact that the antennas are directional.2

All of the repeaters re-radiate L1.3

Power Settings
The GPS repeater offers an output power setting, which is a whole number from -85 to -65 inclusive. It
specifies the output power of the repeater, which is then supplied to the passive transmitting antenna
that is attached to the repeater. The proposed output power settings in order to receive good coverage
in the crash test facility are as below:

    Repeater       Transmit ERP L1      Units
       1                -76             dBm
       2                -79             dBm
       3                -78             dBm
       4                -78             dBm
       5                -78             dBm
       6                -78             dBm
       7                -78             dBm
       8                -77             dBm


Assessment against 8.3.27 section “e”
Section 8.3.27 of the NTIA “Manual of Regulations and Procedures for Federal Radio Frequency
Management (Redbook)”, Sept 2017 Revision of the Sept 2015 edition, states the following in section
“e”:
        “The area of potential interference to GPS reception (e.g., military or contractor facility) has to
        be under the control of the user.”


The crash test facility (the building shown earlier) is located inside the GM Milford Proving Grounds,
which is a large private access controlled campus surrounded by a fence. Thus this campus, the crash
test facility, and indeed the area of potential interference, are under the control of the user.




1
  Each GPS re-radiator consists of a repeater with an attached passive transmitting antenna.
2
  See “Explanation of Gain Values Used” section for explanation.
3
  Previously Repeater 1 re-radiated both L1 and L2, but GMRC proposes to replace this repeater’s antenna with an
antenna that supports only L1.

                                                                                                               3


Assessment against 8.3.27 section “f”

Maximum Permissible EIRP

Section “f” imposes a maximum permissible EIRP in dBm called “𝑃𝑇𝑚𝑎𝑥”, which is calculated according to
the following formula:


𝑃𝑇𝑚𝑎𝑥 = 𝑃𝑅 + 20 log10 𝑓 + 20 log10(30 + 𝑑) − 27.55

Where:
         𝑃𝑇𝑚𝑎𝑥 is the maximum permissible EIRP in dBm
         𝑃𝑅 is the power received at 30 meters from the building (i.e. -140 dBm/24 MHz)
         𝑓 is frequency in MHz (i.e. 1575.42 for L1, 1227.60 for L2, 1176.45 for L5)
         𝑑 is the distance between the radiator and the closest exterior wall of the building in meters.

This requirement is met for each repeater. Below are the calculations of maximum permissible EIRP and
actual EIRP for each repeater:4




4
  The antenna gain values used in these calculations are explained in the “Explanation of Gain Values Used” section
later in this document.

                                                                                                                  4


Antenna 1 - L1 Maximum Permissible EIRP
Label Parameter           Value   Units   Notes / Formula
A     PR                     -140 dBm     Power received at 30 meters from the building
B     f                   1575.42 MHz     L1 center frequency
                                          Distance between the radiator and the closest exterior
C      d                      7.26 meters wall of the building
                                          Maximum permissible EIRP
D      PTmax                 -72.2 dBm    = A + 20 * log(B) + 20 * log(30 + C) − 27.55
E      PTmax                  60.6 pW     Maximum permissible EIRP = 10(D/10)+9


Antenna 1 - L1 Actual EIRP
Label Parameter           Value      Units    Notes / Formula
      Transmit ERP
A     from repeater            -76 dBm
      Transmit ERP
                                              = 10(A/10)+9
B     from repeater           25.1 pW
      Transmit EIRP
C     from repeater         -73.85 dBm        = A + 2.15
                                              Gain of repeater's antenna in direction of closest exterior
D      Antenna Gain           1.17 dB         wall
       Transmit EIRP
       from repeater's
E      antenna               -72.7 dBm        =C+D
       Transmit EIRP
       from repeater's                        = 10(E/10)+9
F      antenna                53.9 pW

The actual EIRP for Repeater 1 (-72.7 dBm = 53.9 pW) is less than the maximum permissible EIRP for this
repeater (-72.2 dBm = 60.6 pW).




                                                                                                      5


Antenna 2 - L1 Maximum Permissible EIRP
Label Parameter           Value   Units   Notes / Formula
A     PR                     -140 dBm     Power received at 30 meters from the building
B     f                   1575.42 MHz     L1 center frequency
                                          Distance between the radiator and the closest exterior
C      d                      9.24 meters wall of the building
                                          Maximum permissible EIRP
D      PTmax                 -71.7 dBm    = A + 20 * log(B) + 20 * log(30 + C) − 27.55
E      PTmax                  67.2 pW     Maximum permissible EIRP = 10(D/10)+9


Antenna 2 - L1 Actual EIRP
Label Parameter           Value      Units    Notes / Formula
      Transmit ERP
A     from repeater            -79 dBm
      Transmit ERP
                                              = 10(A/10)+9
B     from repeater           12.6 pW
      Transmit EIRP
C     from repeater         -76.85 dBm        = A + 2.15
                                              Gain of repeater's antenna in direction of closest exterior
D      Antenna Gain           4.33 dB         wall
       Transmit EIRP
       from repeater's
E      antenna               -72.5 dBm        =C+D
       Transmit EIRP
       from repeater's                        = 10(E/10)+9
F      antenna                56.0 pW

The actual EIRP for Repeater 2 (-72.5 dBm = 56 pW) is less than the maximum permissible EIRP for this
repeater (-71.7 dBm = 67.2 pW).




                                                                                                        6


Antenna 3 - L1 Maximum Permissible EIRP
Label Parameter           Value   Units   Notes / Formula
A     PR                     -140 dBm     Power received at 30 meters from the building
B     f                   1575.42 MHz     L1 center frequency
                                          Distance between the radiator and the closest exterior
C      d                      5.94 meters wall of the building
                                          Maximum permissible EIRP
D      PTmax                 -72.5 dBm    = A + 20 * log(B) + 20 * log(30 + C) − 27.55
E      PTmax                  56.4 pW     Maximum permissible EIRP = 10(D/10)+9


Antenna 3 - L1 Actual EIRP
Label Parameter           Value      Units    Notes / Formula
      Transmit ERP
A     from repeater            -78 dBm
      Transmit ERP
                                              = 10(A/10)+9
B     from repeater           15.8 pW
      Transmit EIRP
C     from repeater         -75.85 dBm        = A + 2.15
                                              Gain of repeater's antenna in direction of closest exterior
D      Antenna Gain           2.50 dB         wall
       Transmit EIRP
       from repeater's
E      antenna               -73.4 dBm        =C+D
       Transmit EIRP
       from repeater's                        = 10(E/10)+9
F      antenna                46.2 pW

The actual EIRP for Repeater 3 (-73.4 dBm = 46.2 pW) is less than the maximum permissible EIRP for this
repeater (-72.5 dBm = 56.4 pW).




                                                                                                      7


Antenna 4 - L1 Maximum Permissible EIRP
Label Parameter           Value   Units   Notes / Formula
A     PR                     -140 dBm     Power received at 30 meters from the building
B     f                   1575.42 MHz     L1 center frequency
                                          Distance between the radiator and the closest exterior
C      d                      5.94 meters wall of the building
                                          Maximum permissible EIRP
D      PTmax                 -72.5 dBm    = A + 20 * log(B) + 20 * log(30 + C) − 27.55
E      PTmax                  56.4 pW     Maximum permissible EIRP = 10(D/10)+9


Antenna 4 - L1 Actual EIRP
Label Parameter           Value      Units    Notes / Formula
      Transmit ERP
A     from repeater            -78 dBm
      Transmit ERP
                                              = 10(A/10)+9
B     from repeater           15.8 pW
      Transmit EIRP
C     from repeater         -75.85 dBm        = A + 2.15
                                              Gain of repeater's antenna in direction of closest exterior
D      Antenna Gain           2.50 dB         wall
       Transmit EIRP
       from repeater's
E      antenna               -73.4 dBm        =C+D
       Transmit EIRP
       from repeater's                        = 10(E/10)+9
F      antenna                46.2 pW

The actual EIRP for Repeater 4 (-73.4 dBm = 46.2 pW) is less than the maximum permissible EIRP for this
repeater (-72.5 dBm = 56.4 pW).




                                                                                                      8


Antenna 5 - L1 Maximum Permissible EIRP
Label Parameter           Value   Units   Notes / Formula
A     PR                     -140 dBm     Power received at 30 meters from the building
B     f                   1575.42 MHz     L1 center frequency
                                          Distance between the radiator and the closest exterior
C      d                      4.62 meters wall of the building
                                          Maximum permissible EIRP
D      PTmax                 -72.8 dBm    = A + 20 * log(B) + 20 * log(30 + C) − 27.55
E      PTmax                  52.3 pW     Maximum permissible EIRP = 10(D/10)+9


Antenna 5 - L1 Actual EIRP
Label Parameter           Value      Units    Notes / Formula
      Transmit ERP
A     from repeater            -78 dBm
      Transmit ERP
                                              = 10(A/10)+9
B     from repeater           15.8 pW
      Transmit EIRP
C     from repeater         -75.85 dBm        = A + 2.15
                                              Gain of repeater's antenna in direction of closest exterior
D      Antenna Gain           2.50 dB         wall
       Transmit EIRP
       from repeater's
E      antenna               -73.4 dBm        =C+D
       Transmit EIRP
       from repeater's                        = 10(E/10)+9
F      antenna                46.2 pW

The actual EIRP for Repeater 5 (-73.4 dBm = 46.2 pW) is less than the maximum permissible EIRP for this
repeater (-72.8 dBm = 52.3 pW).




                                                                                                      9


Antenna 6 - L1 Maximum Permissible EIRP
Label Parameter           Value   Units   Notes / Formula
A     PR                     -140 dBm     Power received at 30 meters from the building
B     f                   1575.42 MHz     L1 center frequency
                                          Distance between the radiator and the closest exterior
C      d                      4.62 meters wall of the building
                                          Maximum permissible EIRP
D      PTmax                 -72.8 dBm    = A + 20 * log(B) + 20 * log(30 + C) − 27.55
E      PTmax                  52.3 pW     Maximum permissible EIRP = 10(D/10)+9


Antenna 6 - L1 Actual EIRP
Label Parameter           Value      Units    Notes / Formula
      Transmit ERP
A     from repeater            -78 dBm
      Transmit ERP
                                              = 10(A/10)+9
B     from repeater           15.8 pW
      Transmit EIRP
C     from repeater         -75.85 dBm        = A + 2.15
                                              Gain of repeater's antenna in direction of closest exterior
D      Antenna Gain           2.50 dB         wall
       Transmit EIRP
       from repeater's
E      antenna               -73.4 dBm        =C+D
       Transmit EIRP
       from repeater's                        = 10(E/10)+9
F      antenna                46.2 pW

The actual EIRP for Repeater 6 (-73.4 dBm = 46.2 pW) is less than the maximum permissible EIRP for this
repeater (-72.8 dBm = 52.3 pW).




                                                                                                     10


Antenna 7 - L1 Maximum Permissible EIRP
Label Parameter           Value   Units   Notes / Formula
A     PR                     -140 dBm     Power received at 30 meters from the building
B     f                   1575.42 MHz     L1 center frequency
                                          Distance between the radiator and the closest exterior
C      d                      4.62 meters wall of the building
                                          Maximum permissible EIRP
D      PTmax                 -72.8 dBm    = A + 20 * log(B) + 20 * log(30 + C) − 27.55
E      PTmax                  52.3 pW     Maximum permissible EIRP = 10(D/10)+9


Antenna 7 - L1 Actual EIRP
Label Parameter           Value      Units    Notes / Formula
      Transmit ERP
A     from repeater            -78 dBm
      Transmit ERP
                                              = 10(A/10)+9
B     from repeater           15.8 pW
      Transmit EIRP
C     from repeater         -75.85 dBm        = A + 2.15
                                              Gain of repeater's antenna in direction of closest exterior
D      Antenna Gain           2.50 dB         wall
       Transmit EIRP
       from repeater's
E      antenna               -73.4 dBm        =C+D
       Transmit EIRP
       from repeater's                        = 10(E/10)+9
F      antenna                46.2 pW

The actual EIRP for Repeater 7 (-73.4 dBm = 46.2 pW) is less than the maximum permissible EIRP for this
repeater (-72.8 dBm = 52.3 pW).




                                                                                                     11


Antenna 8 - L1 Maximum Permissible EIRP
Label Parameter           Value   Units   Notes / Formula
A     PR                     -140 dBm     Power received at 30 meters from the building
B     f                   1575.42 MHz     L1 center frequency
                                          Distance between the radiator and the closest exterior
C      d                      8.58 meters wall of the building
                                          Maximum permissible EIRP
D      PTmax                 -71.9 dBm    = A + 20 * log(B) + 20 * log(30 + C) − 27.55
E      PTmax                  64.9 pW     Maximum permissible EIRP = 10(D/10)+9


Antenna 8 - L1 Actual EIRP
Label Parameter           Value      Units    Notes / Formula
      Transmit ERP
A     from repeater            -77 dBm
      Transmit ERP
                                              = 10(A/10)+9
B     from repeater           20.0 pW
      Transmit EIRP
C     from repeater         -74.85 dBm        = A + 2.15
                                              Gain of repeater's antenna in direction of closest exterior
D      Antenna Gain           2.50 dB         wall
       Transmit EIRP
       from repeater's
E      antenna               -72.4 dBm        =C+D
       Transmit EIRP
       from repeater's                        = 10(E/10)+9
F      antenna                58.2 pW

The actual EIRP for Repeater 8 (-72.4 dBm = 58.2 pW) is less than the maximum permissible EIRP for this
repeater (-71.9 dBm = 64.9 pW).




                                                                                                     12


The following table summarizes the above:

    Repeater           Maximum             Actual EIRP         Actual EIRP is less than
                    Permissible EIRP       (dBm/pW)          maximum permissible EIRP?
                       (dBm/pW)
        1             -72.2 / 60.6         -72.7 / 53.9                   YES
        2             -71.7 / 67.2         -72.5 / 56.0                   YES
        3             -72.5 / 56.4         -73.4 / 46.2                   YES
        4             -72.5 / 56.4         -73.4 / 46.2                   YES
        5             -72.8 / 52.3         -73.4 / 46.2                   YES
        6             -72.8 / 52.3         -73.4 / 46.2                   YES
        7             -72.8 / 52.3         -73.4 / 46.2                   YES
        8             -71.9 / 64.9         -72.4 / 58.2                   YES




Distance to Nearest Exterior Wall

Section “f” also requires the following: “Applications requesting power greater than the 𝑃𝑇𝑚𝑎𝑥
calculated at 𝑑 = 0 meters (i.e. 39.3 pW for L1…) must provide the distance from the transmit antenna to
the nearest exterior wall so that reviewing agencies can determine if the requested power meets the
maximum EIRP described above.”

The following table provides the distance from each repeater’s transmit antenna to the nearest exterior
wall.5

     Repeater           Distance to nearest
                       exterior wall (meters)
            1                   7.26
            2                   9.24
            3                   5.94
            4                   5.94
            5                   4.62
            6                   4.62
            7                   4.62
            8                   8.58




Explanation of Gain Values Used

The antennas attached to the repeaters are directional, i.e. the gain of the antenna varies as a function
of azimuth with respect to the antenna. Therefore in the “Maximum Permissible EIRP” section above
the gain value that is used for each repeater is the one corresponding to the azimuth of a line drawn
from the antenna to the closest exterior wall. The purpose of this section is to explain the antenna’s


5
    These are the same figures used in the earlier calculations for “Maximum Permissible EIRP”.

                                                                                                        13


gain values as a function of azimuth, and after that to show how this is used to obtain the gain value to
use for each repeater.

The antenna that is used for each repeater is the L1G1P “GNSS L1/G1/E1 Passive Antenna” from GPS
Source. The following polar plot, taken from the antenna’s data sheet6, shows the gain as a function of
azimuth:




6
 Technical Product Data Sheet L1G1P GNSS L1/G1/E1 Passive Antenna, document number 059-FAN-AKD-AAY-PYZ-
001, dated 12/22/2016, filename “L1G1-Passive-GNSS-Antenna-Wireless-059-FAN-AKD-AAY-PYZ-001.pdf”.
Obtained from GPS Source.

                                                                                                        14


To simplify the calculations, the above polar plot is simplified to the following “pie slice” depiction:




The above simplified polar plot does not understate the gain at any azimuth and in fact overstates it in
many cases. This conservative approach ensures that this simplification never falsely indicates
compliance with Redbook section 8.3.27.

Below is the diagram of the crash test facility, with a dashed arrow drawn from each repeater to the
closest exterior wall.7




7
    For legibility the arrows are drawn beyond the wall. The length of the arrows is not meaningful.

                                                                                                           15


The following table shows the azimuth (with respect to antenna orientation) for each dashed arrow, as
well as the corresponding antenna gain value.8

     Repeater       Azimuth to closest exterior          Antenna gain (dB)
                         wall (degrees)
          1                    135                              1.17
          2                     45                              4.33
          3                     90                              2.50
          4                     90                              2.50
          5                     90                              2.50
          6                     90                              2.50
          7                     90                              2.50
          8                    270                              2.50



Supplement – Graphical Depictions of Signal Strength

From the “simplified polar plot” of gain shown above, calculations were performed to determine the
distance to which a signal strength higher than -140 dBm EIRP extends from the repeater, as a function
of both azimuth and of power setting. The calculations are provided later in this document in the
section “Appendix – Calculations for Signal Strength Depictions”. The following table summarizes the
results of those calculations:

       Power              How far (in meters) signal strength of -140 dBm EIRP extends from repeater
       Setting            315-45 degrees                 45-90 degrees,              90-270 degrees
        a.k.a.                                          270-315 degrees
      Transmit
       ERP L1
       (dBm)
         -79                   35.83                           29.01                     24.89
         -78                   40.20                           32.55                     27.92
         -77                   45.11                           36.53                     31.33
         -76                   50.61                           40.98                     35.15


From the results in the above table, graphical “pie slice” depictions of signal strength were prepared for
various combinations of power setting and azimuth range. Finally, for each repeater appropriate signal
strength depiction was laid on top of the crash test facility diagram at that repeater’s proposed location.
The results of that exercise are shown in the eight figures that follow.

How to read the figures:

      •    Direction of black arrow indicates which way the repeater’s antenna will be pointed.
      •    Pink shaded region indicates the area surrounding the repeater where signal strength is higher
           than -140 dBm EIRP.


8
    These are the gain values used in the “Maximum Permissible EIRP” section above.

                                                                                                        16


    •   Purple bars, 30 meters in length, are placed in various locations to show 30 meter distance from
        the building.

The below eight figures confirm that for each repeater the signal strength is at or below -140 dBm EIRP
at 30 meters from the building.




Pink shows area where signal strength is higher than -140 dBm EIRP for Repeater 1, set to -76 dBm ERP:




Pink shows area where signal strength is higher than -140 dBm EIRP for Repeater 2, set to -79 dBm ERP:




                                                                                                      17


Pink shows area where signal strength is higher than -140 dBm EIRP for Repeater 3, set to -78 dBm ERP:




Pink shows area where signal strength is higher than -140 dBm EIRP for Repeater 4, set to -78 dBm ERP:




                                                                                                    18


Pink shows area where signal strength is higher than -140 dBm EIRP for Repeater 5, set to -78 dBm ERP:




Pink shows area where signal strength is higher than -140 dBm EIRP for Repeater 6, set to -78 dBm ERP:




                                                                                                    19


Pink shows area where signal strength is higher than -140 dBm EIRP for Repeater 7, set to -78 dBm ERP:




Pink shows area where signal strength is higher than -140 dBm EIRP for Repeater 8, set to -77 dBm ERP:




Appendix – Calculations for Signal Strength Depictions

Below are the calculations for how far the signal strength of -140 dBm EIRP (or higher) reaches from the
repeater, as a function of azimuth and repeater power setting. The results of these calculations are
used in the earlier section “Supplement – Graphical Depictions of Signal Strength”.




                                                                                                      20


Label   Parameter          Value          Units     Notes / Formula
        Received signal
        strength of
A       interest                     -140 dBm
        Frequency of
B       interest                   1575.42 MHz      L1 center frequency
        Transmit ERP
C       from repeater                 -79 dBm       Power setting on repeater
        Transmit EIRP
D       from repeater               -76.85 dBm      = C + 2.15
        Azimuth range
E       of interest                315-45 degrees
        Antenna gain in
        this azimuth                                Obtained from "pie slice" depiction of gain
F       range                        4.33 dB        shown earlier
        Transmit EIRP
        from repeater's
G       antenna                      -72.5 dBm      =D+F
        Distance to
        which signal
        strength of
H       interest extends            35.83 meters    = 10^(( -A + G - 20*log(B) + 27.55)/20)




                                                                                              21


Label   Parameter          Value           Units     Notes / Formula
        Received signal
        strength of
A       interest                     -140 dBm
        Frequency of
B       interest                   1575.42 MHz       L1 center frequency
        Transmit ERP
C       from repeater                 -79 dBm        Power setting on repeater
        Transmit EIRP
D       from repeater               -76.85 dBm       = C + 2.15
        Azimuth range
E       of interest         45-90, 270-315 degrees
        Antenna gain in
        this azimuth                                 Obtained from "pie slice" depiction of gain
F       range                        2.50 dB         shown earlier
        Transmit EIRP
        from repeater's
G       antenna                      -74.4 dBm       =D+F
        Distance to
        which signal
        strength of
H       interest extends            29.01 meters     = 10^(( -A + G - 20*log(B) + 27.55)/20)




                                                                                               22


Label   Parameter          Value          Units     Notes / Formula
        Received signal
        strength of
A       interest                     -140 dBm
        Frequency of
B       interest                   1575.42 MHz      L1 center frequency
        Transmit ERP
C       from repeater                 -79 dBm       Power setting on repeater
        Transmit EIRP
D       from repeater               -76.85 dBm      = C + 2.15
        Azimuth range
E       of interest                90-270 degrees
        Antenna gain in
        this azimuth                                Obtained from "pie slice" depiction of gain
F       range                        1.17 dB        shown earlier
        Transmit EIRP
        from repeater's
G       antenna                      -75.7 dBm      =D+F
        Distance to
        which signal
        strength of
H       interest extends            24.89 meters    = 10^(( -A + G - 20*log(B) + 27.55)/20)




                                                                                              23


Label   Parameter          Value          Units     Notes / Formula
        Received signal
        strength of
A       interest                     -140 dBm
        Frequency of
B       interest                   1575.42 MHz      L1 center frequency
        Transmit ERP
C       from repeater                 -78 dBm       Power setting on repeater
        Transmit EIRP
D       from repeater               -75.85 dBm      = C + 2.15
        Azimuth range
E       of interest                315-45 degrees
        Antenna gain in
        this azimuth                                Obtained from "pie slice" depiction of gain
F       range                        4.33 dB        shown earlier
        Transmit EIRP
        from repeater's
G       antenna                      -71.5 dBm      =D+F
        Distance to
        which signal
        strength of
H       interest extends            40.20 meters    = 10^(( -A + G - 20*log(B) + 27.55)/20)




                                                                                              24


Label   Parameter          Value           Units     Notes / Formula
        Received signal
        strength of
A       interest                     -140 dBm
        Frequency of
B       interest                   1575.42 MHz       L1 center frequency
        Transmit ERP
C       from repeater                 -78 dBm        Power setting on repeater
        Transmit EIRP
D       from repeater               -75.85 dBm       = C + 2.15
        Azimuth range
E       of interest         45-90, 270-315 degrees
        Antenna gain in
        this azimuth                                 Obtained from "pie slice" depiction of gain
F       range                        2.50 dB         shown earlier
        Transmit EIRP
        from repeater's
G       antenna                      -73.4 dBm       =D+F
        Distance to
        which signal
        strength of
H       interest extends            32.55 meters     = 10^(( -A + G - 20*log(B) + 27.55)/20)




                                                                                               25


Label   Parameter          Value          Units     Notes / Formula
        Received signal
        strength of
A       interest                     -140 dBm
        Frequency of
B       interest                   1575.42 MHz      L1 center frequency
        Transmit ERP
C       from repeater                 -78 dBm       Power setting on repeater
        Transmit EIRP
D       from repeater               -75.85 dBm      = C + 2.15
        Azimuth range
E       of interest                90-270 degrees
        Antenna gain in
        this azimuth                                Obtained from "pie slice" depiction of gain
F       range                        1.17 dB        shown earlier
        Transmit EIRP
        from repeater's
G       antenna                      -74.7 dBm      =D+F
        Distance to
        which signal
        strength of
H       interest extends            27.92 meters    = 10^(( -A + G - 20*log(B) + 27.55)/20)




                                                                                              26


Label   Parameter          Value          Units     Notes / Formula
        Received signal
        strength of
A       interest                     -140 dBm
        Frequency of
B       interest                   1575.42 MHz      L1 center frequency
        Transmit ERP
C       from repeater                 -77 dBm       Power setting on repeater
        Transmit EIRP
D       from repeater               -74.85 dBm      = C + 2.15
        Azimuth range
E       of interest                315-45 degrees
        Antenna gain in
        this azimuth                                Obtained from "pie slice" depiction of gain
F       range                        4.33 dB        shown earlier
        Transmit EIRP
        from repeater's
G       antenna                      -70.5 dBm      =D+F
        Distance to
        which signal
        strength of
H       interest extends            45.11 meters    = 10^(( -A + G - 20*log(B) + 27.55)/20)




                                                                                              27


Label   Parameter          Value           Units     Notes / Formula
        Received signal
        strength of
A       interest                     -140 dBm
        Frequency of
B       interest                   1575.42 MHz       L1 center frequency
        Transmit ERP
C       from repeater                 -77 dBm        Power setting on repeater
        Transmit EIRP
D       from repeater               -74.85 dBm       = C + 2.15
        Azimuth range
E       of interest         45-90, 270-315 degrees
        Antenna gain in
        this azimuth                                 Obtained from "pie slice" depiction of gain
F       range                        2.50 dB         shown earlier
        Transmit EIRP
        from repeater's
G       antenna                      -72.4 dBm       =D+F
        Distance to
        which signal
        strength of
H       interest extends            36.53 meters     = 10^(( -A + G - 20*log(B) + 27.55)/20)




                                                                                               28


Label   Parameter          Value          Units     Notes / Formula
        Received signal
        strength of
A       interest                     -140 dBm
        Frequency of
B       interest                   1575.42 MHz      L1 center frequency
        Transmit ERP
C       from repeater                 -77 dBm       Power setting on repeater
        Transmit EIRP
D       from repeater               -74.85 dBm      = C + 2.15
        Azimuth range
E       of interest                90-270 degrees
        Antenna gain in
        this azimuth                                Obtained from "pie slice" depiction of gain
F       range                        1.17 dB        shown earlier
        Transmit EIRP
        from repeater's
G       antenna                      -73.7 dBm      =D+F
        Distance to
        which signal
        strength of
H       interest extends            31.33 meters    = 10^(( -A + G - 20*log(B) + 27.55)/20)




                                                                                              29


Label   Parameter          Value          Units     Notes / Formula
        Received signal
        strength of
A       interest                     -140 dBm
        Frequency of
B       interest                   1575.42 MHz      L1 center frequency
        Transmit ERP
C       from repeater                 -76 dBm       Power setting on repeater
        Transmit EIRP
D       from repeater               -73.85 dBm      = C + 2.15
        Azimuth range
E       of interest                315-45 degrees
        Antenna gain in
        this azimuth                                Obtained from "pie slice" depiction of gain
F       range                        4.33 dB        shown earlier
        Transmit EIRP
        from repeater's
G       antenna                      -69.5 dBm      =D+F
        Distance to
        which signal
        strength of
H       interest extends            50.61 meters    = 10^(( -A + G - 20*log(B) + 27.55)/20)




                                                                                              30


Label   Parameter          Value           Units     Notes / Formula
        Received signal
        strength of
A       interest                     -140 dBm
        Frequency of
B       interest                   1575.42 MHz       L1 center frequency
        Transmit ERP
C       from repeater                 -76 dBm        Power setting on repeater
        Transmit EIRP
D       from repeater               -73.85 dBm       = C + 2.15
        Azimuth range
E       of interest         45-90, 270-315 degrees
        Antenna gain in
        this azimuth                                 Obtained from "pie slice" depiction of gain
F       range                        2.50 dB         shown earlier
        Transmit EIRP
        from repeater's
G       antenna                      -71.4 dBm       =D+F
        Distance to
        which signal
        strength of
H       interest extends            40.98 meters     = 10^(( -A + G - 20*log(B) + 27.55)/20)




                                                                                               31


Label   Parameter          Value          Units     Notes / Formula
        Received signal
        strength of
A       interest                     -140 dBm
        Frequency of
B       interest                   1575.42 MHz      L1 center frequency
        Transmit ERP
C       from repeater                 -76 dBm       Power setting on repeater
        Transmit EIRP
D       from repeater               -73.85 dBm      = C + 2.15
        Azimuth range
E       of interest                90-270 degrees
        Antenna gain in
        this azimuth                                Obtained from "pie slice" depiction of gain
F       range                        1.17 dB        shown earlier
        Transmit EIRP
        from repeater's
G       antenna                      -72.7 dBm      =D+F
        Distance to
        which signal
        strength of
H       interest extends            35.15 meters    = 10^(( -A + G - 20*log(B) + 27.55)/20)




                                                                                              32


The following two pages discuss the GLI-Metro-G
specifications for transmission of GPS and GLONASS




                                                     33


34



Document Created: 2018-09-12 16:06:45
Document Modified: 2018-09-12 16:06:45

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