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Innovation and Digital Transformation for a Sustainable World

             Substituting the values of (4), (6), (23) and PL LOS and  corresponds to the latency. However, if λ=1, then the final
           PL NLOS into (24), and reducing the equations using trigono-  optimization function is just the power consumed. Value of
           metric calculations, the maximum path loss can be expressed  λ between 0 to 1 will depict optimization function as a
           as                                                  function of latency and power both. The total power of the
                                                               UAV is greater than or equal to the sum of hovering and
                                                   2
            PL max =          A           + 10 log h + (R c ) 2    + B communication powers, as specified in (30). Additionally, the
                                   h
                     1+p exp(−q[arctan( R c  )−p])             propagation delay/latency is a function of the UAV height and
                                                          (25)
                                                               coverage radius. Some more details to it are added in the
             Here  the  constants  A  =   η LoS − η NLoS  and  Appendix.
           B = PL NLoS − 20 log d. The value of PL max depends
           on the technology being used, receiver sensitivity and the     IV. PERFORMANCE EVALUATION
           technology for communication used.
                                                                 This section evaluates the performance of the proposed
           The optimal positioning of the UAV would be the one  scheme.
           that results in covering maximum number of ground users
           and satisfactorily meeting their QoS needs. For determining  A. Simulation Parameters
           the optimal height, h optimal , it is essential to determine the
                                                                 This section states the parameters for simulations, for the
           point satisfying the condition
                                                               proposed system. Some of the simulation parameters are
                                ∂R c                           provided as a range as they are varied to analyze their impact
                                     = 0                  (26)
                                 ∂h                            on the optimization result. The parameters are stated in Table
           The optimal height will largely depend on the environment  1.
           where the UAV is flying. Corresponding to the optimal height,
           there will also exist an optimal angle of elevations. The same            TABLE I
           has been evaluated in [12].                                      SIMULATION PARAMETERS VALUES
             The communication resources like bandwidth, transmitted
                                                                         Parameters             Values
           power, etc are assumed to be limited and are shared among all  Packet Size (L)      524064 Bits
           the users inside the UAV cell. The total bandwidth available  Total Bandwidth (B0)   20 MHz
                                                                         Receiver Temperature (T)  300 K
           per UAV coverage area is assumed to be B 0 MHz and total
                                                                         UAV Power (P 0 )       50 Watts
           power transmitted by a UAV antenna is assumed to be about     Transmit Power (P T )  43 dBm
           P T dBm for B 0 MHz of bandwidth. The transmitted signal      PLMAX                109–111 dB
                                                                                                      2
           power for a particular user is calculated accordingly.        Total Coverage Area (A T )  1 –50Km
                                                                         User Density (ρ)    300–700Km −2
           From the equations in the previous section, it can be
           deduced that power consumption and latency depend upon h.
           At h opt , the latency and power shall also be optimum. This
                                                               B. Results
           is a two-parameter optimization because the global optimum
           points for the latency and power may or may not coincide  The power consumed, latency and formulated optimization
           with each other. Thus, a new optimization function is to be  problem are evaluated here to depict the efficacy of the
           formulated, which optimizes both power and latency. Linear  proposed scheme.
           combination of weight method could be used for formulation
           of final optimization function, in terms of power and latency.
           Thus the final optimization function can be stated as


                           Υ = λ P + (1 − λ) T            (27)
             Here, Υ denotes the optimization function. Further, the
           objective is to maximize this function, which is represented
           as
                                      max λ Υ             (28)
                                 for0 < λ < 1             (29)
                                                          (30)
                           P ≥ P hover + P comm
                              T P = f(h opt , R c )       (31)
             Varying values of λ will change the weight of the two          Fig. 2. User Latency vs UAV Altitude
           objective functions. If λ=0, then the optimization function



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