Page 39 - ITU Journal: Volume 2, No. 1 - Special issue - Propagation modelling for advanced future radio systems - Challenges for a congested radio spectrum
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ITU Journal: ICT Discoveries, Vol. 2(1), December 2019



          The CDF of the excess path loss (EPL) at 150 GHz is
          plotted  in  Fig.  12  for  three  different  values  of
          vegetation linear loss (VLL). The shown EPL is the
          one  obtained  with  highly-directive  antennas;
          however,  the  results  are  very  similar  with  larger
          antenna  beam  widths.  The  NLoS  EPL  is  about
          50 dB higher than non-NLoS. It is hardly impacted
          by  the  VLL  value,  as  the  dominant  propagation
          path is often due to rooftop diffraction, i.e. occurs
          above trees. The LoS percentage appears as the left
          CDF  value  in  the  plain  curves:  about  20%.  The
          highest  CDF  values  are  associated  to  the
          NloS-Vegetation  situation,  where  the  VLL  has  a
          significant  impact.  As  the  foliage  transmission  is
          combined  with  foliage  diffraction,  the  distance     Fig. 14 – Standard deviation of the residual path loss
          between  EPL  curves  decreases  when  the  VLL
          increases,  i.e.  when  the  diffracted  path  becomes   The highly-directive EPL can be approximated by a
          dominant.                                            log-normal  variable,  where  both  the  mean  value

          Fig. 13 shows the resulting EPL fitting functions for   and  the  standard  deviation  are  log-distance
          the  different  VLL  values,  and  Fig.  14  shows  the   dependent:
          standard  deviation  of  the  residual  path  loss. This            {      } =    +     ×       (  )   (2)
          residual path loss is very high compared to general
          observations  at  lower  frequencies  (standard                    {      } =    +     ×       (  )   (3)
          deviation  lower  or  equal  to  10  dB).  It  globally
          increases with distance.                             The  EPL  parameters  at  150  GHz  are  given  in
                                                               Table 2  for  NLoS  and  NLoS-Vegetation  situations
                                                               (values  are  zero  in  LoS).  Those  values  apply  on
                                                               distances greater than 25 up to 200 meters. They
                                                               are  proposed  as  a  simplified  model  for  the  path
                                                               loss  experienced  in  urban  street-level  sub-THz
                                                               fixed backhaul.
                                                               When considering different antenna beam widths,
                                                               we observe only small changes in the EPL values,
                                                               meaning the channel is dominated by a strong path.
                                                               Actually,  the  delay  spread  is  more  significantly
                                                               impacted.  Fig.  15  shows  how  it  is  statistically
                                                               distributed depending on the antenna beam width
                                                               and visibility. The 90% quantile with the isotropic
                    Fig. 12 – CDF of the excess path loss      antenna is between 70 and 90 ns depending on the
                                                               visibility condition. It is lower than 0.2 ns with the
                                                               6°-beam-width  antenna.  This  is  of  particular
                                                               importance in a backhaul system definition, where
                                                               the  performance  and  even  the  waveform  can  be
                                                               affected  by  channel  wideband  properties,  flat  or
                                                               selective.  The  vegetation  scattering  has  not  been
                                                               predicted in this work; however, it may cause some
                                                               spread in the  delay domain even with  a directive
                                                               antenna,  provided  the  dominant  path  crosses  a
                                                               tree.





                       Fig. 13 – Excess path loss fit



                                                © International Telecommunication Union, 2019                 23
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