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386    C h a p t e r  S i x


               6.7. 1.1.3   The  Overall  Path·Loss  Formula  The overall path loss can be obtained from
               three approaches:
                    1. The overall path loss is the sum of two sources. One is from the path loss caused
                      by the atmosphere condition, and the other is the path loss to be predicted from
                      the causes of terrestrial surroundings:
                                       L overall  =  L +  L terrestrial   in dB   (6.7. . 6)
                                                                                     1
                                              tot
                      where  L , rrestri l can be predicted based on models described in previous chapters
                             e
                                a
                      of this book.
                    2. We also can calculate the mean square of the received signal r by taking the
                      measured data r(t) to process to get the measured local mean m'(t) as follows:
                                                  1  r + L
                                                    I
                                           m'(t) =  2L  r-L  r(t) dt             (6.7.1.7)

                                                        1
                                    L
                      where the length  i s around 40 A (see Sec.  .   6.3.1). The path loss  Lovemu is obtained
                      by as subtracting the local mean square from the transmitted ERP, Ps, as
                                                       '
                                                                                    .
                                            Lovemll  = P,  -  [m (t)F            (6.7 1 .8)
                                                                          '
                    3. We can calculate the mean power P ,  from the measured pdf, p (r), as
                                                   2  '
                                                                                     1
                                            � =  [ r p (r) dr                    (6.7. . 9)
                      Then the overall path loss is

                                              L  overall  = P - s   P  r        (6.7.1.10)

                  We have noted that the channel models described in Sec. 6.7 1 . 1 . 2 are not considered
                                                                    .
                                                        .
               the atmosphere effects as described in Sec.  6.7 1 . 1 . 1 .   Therefore, the signal strength
               obtained from the predicted pdf of the models has to add the additional atmosphere
               effect to be the overall path loss.
                 7
               6.  . 2    Prediction of  n derwater Communication Signals42-44
                                   U
               The electromagnetic waves propagate over only extremely short distances under water.
               The underwater signals that are used to carry digital information through an underwa­
               ter channel are not radio signals but acoustic waves, which can propagate over long
               distances. However,  an underwater acoustic channel presents three distinguishing
               characteristics:  frequency-dependent  propagation  loss,  severe  multipath,  and  low
               speed of sound propagation.
                  Another unique characteristic is geometric spreading. The spreading of the sound
               energy results in the expansion of the wave front. There are two spreadings:
                    1 .   One is cylindrical spreading. It is at horizontal radiation only, which characterizes
                      shallow-water communication.
                    2. Another is spherical spreading. It is from an omnidirectional point source,
                      which characterizes deep-water communication.
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