Page 124 - Integrated Wireless Propagation Models
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102    C h a p t e r  T h r e e


                  L = (the knife-edge diffraction loss) - (the maximum effective antenna height gain)

                    = L0 -20 log (�U � 0  (under a shadow condition)             (3.1.2.5)

                  The effective antenna height h; is measured the height at the base station from the
                  intersected point of a line that is drawn from the tip of the hill along the slope of the
                  hillside to the base station. The description of h; is shown in Sec. 3.1.2.4.
                  a =   the signal adjustment factor in dB, such as additional gains if the actual antenna
                     gains g; and g,; and antenna heights h; and h; at two terminals are different
                     from the standard conditions

                    = (g� - gb) + (g"'  -g:,) + 20 log(� ) + 10 log(�: )


                    = !lgb + !lg"' +  !lg,,j + !lg,2                             (3.1.2.6)
               The signal strength value given by the Lee single breakpoint model is composed of four
               components:
                    1 .   The area-to-area path loss, used as a baseline for the model, is derived from
                      a propagation slope (y) and 1-mile (or extrapolate to 1 km if not measured at
                      1  km) intercept value  (P, ).  P ,  may be obtained from the measured data.
                                               i
                                           o"
                      Because P , and y vary fr m c ty to city due to human-made structures and
                               ,
                      only measured data can give the answer, the effect due to human-made
                      structures is accounted in the model. The area-to-area component includes
                      a frequency-offset adjustment (A1), which is used to adjust the actual center
                      frequency of your system to the model's reference frequency of 850 MHz
                      (see Table  . 1 .2.1.2).
                               3
                    2. The effective antenna height gain G,ffi ,  is determined by the terrain contour
                      between the base station and the mobile where a specular reflection point is
                      located. This component is significant for the case of a nonobstructed direct
                      signal path, including LOS and NLOS paths. It accounts the terrain-contour
                      effect into the model.
                    3. Diffraction loss L is predicted using Fresnel-Kirchoff diffraction theory. For
                      multiple knife edges, Lee uses both a modified Epstein-Petersen method3 and
                      a separated knife-edge check to evaluate diffraction loss. This component is
                      significant for  the  condition  of an  obstructed  direct  signal path or  called
                      diffraction path. It is also the effect due to the terrain contour and is also
                      accounted for in the model.
                    4.  An adjustment factor compensates for the difference between a set of default
                      conditions for base station transmit with mobile parameters (which are used as
                      assumptions for calculating the area-to-area path loss component)  and the
                      actual values for these parameters in each sector to be predicted.
               Once received signal strength values have been predicted for each point along the sig­
               nal path (radial), the Lee model can use a signal-smoothing process to produce the final
               prediction.
                  A point-to-point model constantly calculates along the signal path for path loss and
               checks for signal obstructions. There are three conditions for the direct path. When the
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