Response To NTIA Manual Questions

0524-EX-CN-2018 Text Documents

BRAINERD HELICOPTERS, INC.

2018-07-16ELS_212823

                   GPS L1 Link Budget
Satellite Tranmitter
Transmitter Power (25 Watts)                                               14.25 dBW
RF Losses in trasmitter path                                               -1.25 dB
Antenna Gain (with respect to an isotrope)                                  13.5 dBi
Satellite EIRP (wrt isotropic radiator)                                   26.50 dBW                446.68 Watts

Propagation
Atmoshperic and Polarization Losses                                         -0.5 dB


                                                                      4 d 2 
                                  Free Space Path Loss   10 log10       
                                                                        
                where d = distance from antenna =                      2.52E+07     meters
                  P   at h
                               c =speed
                                   
                                  L oss
                                          of light =
                                               
                                                   
                                                   
                                                   
                                                       4   d   
                                                               
                                                               
                                                                   2
                                                                       3.00E+08     m/sec
                                   f = frequency =                     1.58E+09     Hz
                      lambda = wavelength = c/f =                      1.90E-01     meters
                                                                                                            2
                                                                       = -10log10 3.17E+08       1.90E-01
                                                                                             2
                                                                       = -10log10 1.67E+09

              Free Space Path Loss over Distance                         -184.43 dB

                  Received Power on Earth                              -158.43 dBW
                                                                       -128.43 dBm               1.44E-04 pW

Gain of Receive Antenna                                                       38 dBic

RF losses in 300 feet of LMR400UF cabling and
connectors from Receive Antenna to Line Amplifier                            -6.7   dB
Gain of Line Amplifier                                                         20   dB
RF Power at Input to Re-Radiating Antenna                                 -77.13    dBm             19.36 pW
Gain of Passive Re-Radiating Antenna                                            3   dBic

Re-Radiated EIRP (wrt isotropic radiator)                                -74.13 dBm                 38.64 pW
Re-Radiated ERP (wrt dipole radiator)
                  P   a   t   h   L   o   ss   
                                                   
                                                   
                                                   
                                                       
                                                       
                                                       4   d   
                                                               
                                                               
                                                                   2
                                                                         -76.28 dBm                 23.55 pW


                                                    4 d 2 
                Free Space Path Loss   10 log10       
                                                      
        where d = distance from antenna =         100 feet
                                                                                     2
                                            = -10log10     383.023        1.90E-01
                                                                      2
                                            = -10log10 2.01E+03

      Free Space Path Loss over Distance       -66.07 dB
RF power level at 100 ft distance =          -140.20 dBm             wrt isotropic antenna
                                             -142.35 dBm             wrt dipole antenna


                      GPS L2 Link Budget

Satellite Tranmitter
Transmitter Power (4.32 Watts)                                               6.35 dBW
RF Losses in trasmitter path                                                -1.25 dB
Antenna Gain (with respect to an isotrope)                                   11.5 dBi
Satellite EIRP (wrt isotropic radiator)                                   16.60 dBW                    45.71 Watts

Propagation
Atmoshperic and Polarization Losses                                          -0.5 dB


                                                                      4 d 2 
                                  Free Space Path Loss   10 log10       
                                                                        
                 where d = distance from antenna =                     2.52E+07     meters
                  P   at h
                                c =
                                   
                                    speed of light =
                                  L oss        
                                                   
                                                   
                                                   
                                                       4   d   
                                                               
                                                               
                                                                   2
                                                                       3.00E+08     m/sec
                                    f = frequency =                    1.23E+09     Hz
                       lambda = wavelength = c/f =                     2.44E-01     meters
                                                                                                               2
                                                                       = -10log10    3.17E+08       2.44E-01
                                                                                                2
                                                                       = -10log10    1.30E+09

               Free Space Path Loss over Distance                        -182.26 dB

                   Received Power on Earth                              -166.16 dBW
                                                                        -136.16 dBm                 2.42E-05 pW

Gain of Receive Antenna                                                       38 dBic


RF losses in 300 feet of LMR400UF cabling and
connectors from Receive Antenna to Line Amplifier                            -6.7   dB
Gain of Line Amplifier                                                         20   dB
RF Power at Input to Re-Radiating Antenna                                 -84.86    dBm                  3.26 pW
Gain of Passive Re-Radiating Antenna                                            3   dBic

Re-Radiated EIRP (wrt isotropic radiator)                                -81.86 dBm                      6.51 pW
Re-Radiated ERP (wrt dipole radiator)
                  P   a   t   h   L   o   ss   
                                                   
                                                   
                                                   
                                                       
                                                       
                                                       4   d   
                                                               
                                                               
                                                                   2
                                                                         -84.01 dBm                      3.97 pW


                                                   4 d 2 
               Free Space Path Loss   10 log10       
                                                     
        where d = distance from antenna =         100 feet
                                                                                    2
                                            = -10log10 383.02298         2.44E-01
                                                                     2
                                            = -10log10   1.57E+03

      Free Space Path Loss over Distance       -63.90 dB
RF power level at 100 ft distance =          -145.77 dBm            wrt isotropic antenna
                                             -147.92 dBm            wrt dipole antenna



Document Created: 2018-07-16 11:20:36
Document Modified: 2018-07-16 11:20:36

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