Page 47 - ITU Journal: Volume 2, No. 1 - Special issue - Propagation modelling for advanced future radio systems - Challenges for a congested radio spectrum
P. 47

ITU Journal: ICT Discoveries, Vol. 2(1), December 2019



          Fig. 7 shows an example of a drop of scatterers from   coherence  distance     .  Table 4  summarizes  the
                                                                                      
          a real intersection in Berlin, Germany. Here, the blue,   path gain parameters for the different contributions,
          red, yellow and gray dots represent first-, second-,   where    = 20 log (   ).
                                                                                     0
                                                                                 10
                                                                       0
          third-order and diffuse scatterers, respectively.
                                                               The model was parameterized and verified against
                                                               measurements  in  various  types  of  street
                                                               intersections  in  Berlin,  Germany.  Fig. 8  shows  an
                                                               example  of  simulated  and  measured  impulse
                                                               responses from the intersection outlined in Fig. 7.
                                                               The y-axis shows the measurement time and the x-
                                                               axis  shows  the  propagation  distance  of  the
                                                               multipath  components.  The  measurements  are
                                                               performed  with  an  ultra-wideband  channel
                                                               sounder  at  a  center  frequency  of  5.7 GHz  with  a
           Fig. 7 – Example of scatterers dropped in a simulation area.   bandwidth  of  1 GHz.  The  white  stripes  in  the  left
           Colored dots are specular components, grey dots represent   plot are due to the data storage process where no
                           diffuse scattering.                 measurements could be taken.
          Once the scatterers are dropped in the simulation    As  seen  in  the  figure  there  is  a  very  good
          area  the  contribution  of  each  scatterer  to  the   correspondence between the outputs of the channel
          impulse response is determined by expressions for:   model  and  the  real-life  measurements.  Some
          1)  distance  dependence,  2)  losses  due  to       detailed behavior differs, but the overall structure
          interactions with scattering objects, 3) obstructions   of  the  channel  evolution  and  variation  of  the
          by buildings, foliage and other objects, 4) diffraction   impulse response is well captured by the GSCM.
          around  corners,  5)  angular  dependence  of  the
          scattering interaction, and 6) random, but spatially   Table 4 – Path gain parameters for the different multipath
                                                                                  contributions
          correlated, large-scale fading.
          The transfer function of the channel between any       Type    Order   G0 (dB)    dc (m)   k (-)   Θ (-)
          two antennas are calculated as a superposition of all   Wall    1st   U(−65, −48)   U(1, 2)   U(2, 8)   1/k
          power weighted contributions from the scatterers        Wall    2nd   U(−70, −59)   U(0,1.5)   U(1, 6)   1/k
          as in (6):                                              Wall    3rd   U(−75, −65)   U(0, 1)   U(1, 4)   1/k
                                                                Non- wall   1st   U(−68, −52)   U(0, 1)   U(1, 6)   1/k
             (  ,   ) = ∑      =1        −  2                  (        )        (        ) (6)   Diff.   1st   U(−80, −68)   U(0, 1)   U(1, 1)   1/k
                            
          where    is the complex antenna amplitude gain in
          direction Ω,     is the complex amplitude of path l, L
                        
          is the total number of paths,    is the frequency, and
              is the propagation delay,    =    /  . For each MPC
             
                                           
                                      
          the average path power gain is modeled as in (7):
                           2
               2
             ̅(  ) = (    0             ) 10 −      /10    (7)
                         

                                                       2
          where    is the path propagation distance and     is
                                                       0
          the path power gain at a reference distance of 1 m.   Fig. 8 – Measured and simulated impulse responses over time
                                                                in the intersection in Fig. 7. The white stripes are due to data
          The term     describes the path angular power gain,             download, with no measurements.
                    2
                      
          which  is a  function of the  incoming and outgoing
                                       2
          angles for each scatterer, and     is a gain describing   5.   BUILDING ENTRY LOSS AND CLUTTER
                                        
          the effects of obstruction and blockage by buildings.      LOSS AT 26 GHz
          Each  multipath  component  then  undergoes
          spatially correlated Gamma distributed large-scale   Currently  there  are  two  separate  ITU-R  P-series
          fading  (with  parameters  k  and  θ)  so  that  the   Recommendations  on  building  entry  loss  (BEL),
          instantaneous amplitude of each MPC varies around    ITU-R  P.2109-0  and  clutter  loss  (CL)  ITU-R
          the mean according to a Nakagami distribution. The   P.2108-0. In sharing studies, BEL and CL are treated
          autocorrelation of the fading process is described   as multiplicative where the overall excess path loss
          by  a  conventional  Gudmundson  model  [12]  with   is the sum in dB of the individual losses. To assess



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