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116    C h a p t e r  T h r e e


                Base
                Station        -67.0 dBm       -68.0 dBm       -69.5 dBm    Raw prediction
                 ()------���------���------�@)-------�
                      Radial d;
                                                                            Radial* (km)

                                A, = A      B, = (A, + 8)/2 =   C, = (B, + C)/2 =   Smoothing
                                            [-67.0 + (-68.0)]/2   [-67.5 + (-69.5)] /2   algorithm


                Base
               Station         -67.0 dBm       -67.5 dBm      -68.5 dBm     Final  prediction
                ()�----�Qg-----�@9-----���--------J�
                     Radial d;                                             Radial* (km)

                *Note: radial dx and radial length are user inputs.
               FIGURE 3.1.2.5.1  Signal-smoothn g example.
                                        i


               is called the enhanced Lee model. This process, illustrated in Fig. 3.1.2.5.1, calculates a
               "running average" at each point as follows:
                    1. The predicted  signal at the initial point  (A  in the  diagram)  has not been
                      averaged, thus let A , = A for this point.
                    2. Beginning with the second point (B in the diagram), the final predicted signal
                      strength is determined by adding the raw signal strength at this point with the
                      final signal strength at the previous point and dividing it by two. Thus, B, =
                      (A, + B)/2 and so on.


               3.1.2.6.2   From the Measured Data  We have to use the running average to get the local
               means from the measured data. The local mean has been determined by averaging 50
               samples of a piece of data over a distance of 40 wavelengths at 800 MHz. If the carrier
               frequency is at 400 MHz, the averaging of a distance of 20 wavelengths is adequate. It
                                                              1
                                                          1
               has been determined by Lee9 and described in Sec.  . 6.3. .
                                o
               3 . 1 . 3  Variations  f   the Lee Model
               There are several variations of the Lee single breakpoint model. The variations differ
               from the basic model only in predicting the path loss component (exclusive of the
               frequency-offset adjustment) in certain areas, as described below.
                  The basic method for determining path loss for the single breakpoint model was
               described in detail earlier. For distances of less than 1 mile, the Lee model projects the
               path loss curve predicted by the single breakpoint model extending backward from
                                                          .
               1 mile to the base station, as illustrated in Fig. 3.1.3 1 . 1 .
               3 . 1 . 3 . 1    Lee Multiple Breakpoint Model
               The multiple breakpoint model was developed to improve the accuracy of prediction
               for distances within 1 mile of the base station. Among the currently provided model
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