Page 409 - Integrated Wireless Propagation Models
P. 409

T h e   l e e   C o m  p r e h e n s i v e   M  o d e l -  I n t e g r a t i o n   o f   t h e   T h r e e   l e e   M  o d e l s    387

                  These characteristics make underwater wireless communication extremely difficult.
               To solve these difficulties, two tools can be used. One is the underwater propagation
               path-loss model created by Urick, and another is the propagation speed of the acoustic
               signal underwater.

                  2
               6.7. . 1    U r ick Propagation Path-Loss Model
               One underwater propagation model, called the Urick propagation path-loss model, is
               introduced:
                                     L (d, f ) = � · log (d) + a ( j ) .  d + A   (6.7.2.1)

               where � is the geometric spreading, � =   10 (shallow water); and � =   20 (deep water);
               a  (j) is medium absorption obtained from the experiments; and A  is transmission
               anomaly in dB a degradation of acoustic intensity due to multipath refraction, diffrac­

                                                                  A
               tion, and scattering of the sound;  = 5 to 10 dB [deep water];  > 10 dB [shallow water].

                                           A
               6. 7 .2.2  Propagation Speed of Acoustic Signal U n derwater
               The propagation speed of the acoustic signal (5) underwater is a function of three
               parameters the temperature T, the salinity (Sa), and the depth of the water (D):
                                                j
                                             5 =  ( T, Sa, D)                    (6.7.2.2)
               Because of the three effects, the signals bend toward the region of slower sound speed.
               There are four main types of thermal structure: isothermal gradient (uniformed), nega­
               tive gradient (sound speed increases as water becomes shallower), positive gradient
               (sound speed increases as water becomes deeper), and negative gradient over position
               (change speed gradient at a certain depth). The four types of thermal structure are
               shown in Fig. 6.7.2.2.1 due to the effects of temperature, salinity ,  and the depth of the
               water, as shown in Eq. (6.7.2.1).
               6. 7 .2.3  Shallow-Water Communication-Channel Model
               In shallow water, multi path occurs due to signal reflection from the surface and bottom,
                                      .
               as illustrated in Fig. 6.7.2.3 1 .   Shallow-water communication is greatly affected by the
               multipaths due to multiple reflected rays from either the sea bottom or the surface, ray
               bending as a result of sound speed variations with respect to depth of the water and
               cylindrical spreading to expand the wave front horizontally. The shadow water

                                     Water surface

                                  I
                                 I
                           (1)   I     \            I    (1 ) Isothermal
                     .<:       / (2)    \  (3)     / ( 4)
                     a.                  \               (2) Negative gradient
                     Q)       I
                     0        I                  (
                             I                           (3) Positive gradient
                             I            \        \
                            I              \        \    (4) Negative gradient over positive
                           I                \
                           I                         \
                               Seabed       \
                                   Sound velocity
               FIGURE 6.7.2.2.1  Fo r   main types of thermal structure for the sound speed under deep water.
                               u
   404   405   406   407   408   409   410   411   412   413   414