Page 107 - Integrated Wireless Propagation Models
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M a c r o c e l l   P r e d i c t i o n   M o d e l s -  P a r t   1 :   A r e a - t o - A r e a   M o d e l s    85


                  t:.h m  = h8 - h m  = h eight of mobile antenna below rooftops in meters
                    =
                  b  b uilding separation in meters (20 to 50 m recommended if no data)
                  W = width of street (b /2 recommended if no data)
                  <)> = angle of incident wave with respect to street (use 90° if no data)

                  Using the parameters listed above, for NLOS propagation paths, the Walfisch-Ikegami
               model gives the following expression for the path loss in decibels:

                                         {  L + L,,, +  L mds '
                                           FS
                                                          L,,, +  L mds �  Q
                                   [  NLOS  =   L FS      L,,, +  [mds <  Q       (2.15.3)
               where L = free space loss = 32.45+20 log 10  dkm + 20 log J MHz L,,, = roof-to-street diffrac­
                      F5
                                                            10
                                                                 '
               tion and scatter loss (see Eq. (2.15.4)), and L a = multiscreen diffraction loss (see Eq. (2.15.6)).
                                                 ms
                  The formula given for L,1, involves an orientation loss, L(<)>). Angle <)> is the street
               orientation angle, as shown in Fig. 2.15.2.
                            L,,, = -16.9- 1 0 log 10  W + 10 log 10 fMHz + 20 log 10  t:.h"' + L (<!>)   (2.15.4)
               wheref z is the frequency in MHz and w is the distance between the building and the
                     MH
                                                  "'
               mobile on either side of the street, typically w = W /2, and the final term of Eq. (2.15.4)
                                                     ,
               is the orientation loss for street orientation at an angle <!> to the radio path:
                                     1 -10+ 0.354<)>,       0 :S:: <)> ::;   35°
                                L(<)>) =  2.5+ 0.075(<)>- 3 5°),   35° ::;  ::;   35°   (2.15.5)
                                                                <!>
                                                                <!>
                                       4.0+ 0.114(<)>- 55°),   55° ::;  ::;   90°
               The formula given for the multi screen diffraction loss term L, s a is

                                                                                  (2.15.6)

               In this expression, Lbsh is shadowing gain, which occurs when the base station antenna
               is higher than the rooftops:

                                        {  -18log 10 (1+l1hb),
                                   L  =                                           (2.15.7)
                                    bsh
                                          0,


                            Base station antenna   d
                             -
                                           Buildings
                                                        r-
                                       -        -               -       --
                                        D  D     D  D   D  D     D  D
                            hb
                                        D  D     D  D   D  D     D  D
                                                                          h a
                                        D  D     D  D   D  D     D  D
                                                             c      Thm
                              Street level   b      �     Mobile antenna
                                                     w
               FIGURE 2.15.1  The geometry of the Walfisch-lkega i   mode .   l
                                                     m
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