Page 51 - ITU Journal Future and evolving technologies Volume 3 (2022), Issue 2 – Towards vehicular networks in the 6G era
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ITU Journal on Future and Evolving Technologies, Volume 3 (2022), Issue 2




          link  reception  success  probability.  Therefore,  the   closest  interferer  of  the  receiver  j  to  simplify  the
          velocity is not included in the physical abstraction   problem model. Let us denote the distance between
          model in the following discussion. The link success   the receiver j and its closest interferer as    . Then,
                                                                                                          
          probability is purely defined by the SINR of the link,   similar to (10), we can have:
          whereas the channel fluctuation is still affected by
          the Doppler.                                                                  ,    ∝    .                                   (11)
                                                                                          
                                                                                         
          4.   PROBLEM FORMULATION                             Let us refer     and     as signal distance and main
                                                                              ,  
                                                                                     
                                                               interference  distance  hereafter.  Then,  the  two
          In  order  to  maximize  the  reliability  for  the  road   gradients  (10-11)  depict  the  impact  of  the  two
          safety  in  urban  scenarios,  a  broadcast  packet  is   distances on the link reception rate. That is, driving
          desired to be received by neighboring vehicles as    by the gradient inversely proportional to     in (10),
                                                                                                         
          much  as  possible.  While,  when  one  vehicle  is   the transmitter benefits from reducing the distance
          transmitting, the rest of N-1 vehicles in the RoI may       from  all  the  receivers.  Moreover,  before  the
                                                                   
          decide to transmit or receive in that subframe. Due   transmitter moves, if a target vehicle is closer to a
          to  the  half-duplexing  operation  mode,  only  the   receiver,  it  will  be  more  beneficial  to  move  even
          vehicles in a receiving mode are considered to be    closer to that receiver so that the link reception rate
          the  targeted  receivers.  Thus,  assume  there  is  a       or     will be maximized. In this way, the node
                                                                         
                                                                  ,  
          utility  associated  to  each  target  receiver,  i.e.,  to   gains little by moving towards the receivers at the
          represent a level of satisfaction that a target vehicle   far side, and in a distributed manner the node will
          can  obtain  from  successfully  receiving  a  packet.   not  have  the  motivation to  move  towards  the  far
          Then,  at  the  transmitter,  its  objective  will  be  to   nodes to improve their utility. Thus, this is a greedy
          move to a better position such that the aggregated   utility function without any fairness consideration
          utility of its target receivers is maximized. In this   between target vehicles.
          way, we can formulate node i’s aggregated utility  as
          follows:                                             As  a  result,  a  fair  utility  function  should  be
                                                               considered to shrink the gain in distance when the
                             U = ∑ j∈          ,                         (9)       is already high. We propose to apply log for the
                             i
                                         ,  
                                                                  ,  
          where     stands for the success probability of the       in the function (9) and get:
                   ,  
                                                                  ,  
          reception on link from node i to node j and      is the                      log (   ),                         (12)
                                                      
                                                                                
          set of all receiving nodes in the neighborhood of i.                  = ∑ j∈         ,  
          The exact form of function    (. ) is yet to be found   with the log function, the gradient with respect to
                                      ,  
          via  a  machine  learning  approach  in  Section  5.       becomes:
                                                                   ,  
          However, we will not lose any generality to assume
                                                                                        1         ,    ,                            (13)
          that     is a monotonic function of the link                                ,    =       ,    ⋅         ,  
                 ,  
                                                          ,  
          defined in  (8).  Ignoring  the  influence  of  Gaussian   It means that the increase in terms of     in (12) that
          noise, the SINR in (8) is directly proportional to the                                               is
          signal  power  of  the  receiver  and  inversely     can  be  contributed  from  an  increase  in       ,  
          proportional to the sum of the interference caused   inversely proportional to the current     as well as
                                                                                                      ,  
          by the interferers. Thus, we can derive that the       its current    . The sign of (13) may be the same for
                                                                             .  
                                                          ,  
          has  a  negative  relation  to       ,    ,  where       ,     is  the   different receiving vehicles, which means by getting
          distance between the transmitting node i and the     closer to any target receiver, it always brings up the
          receiving  node  j.  Considering  the  path  loss    total utility. The amplitude of the partial derivatives
          definition in (3), we have:                          varies  from  receiver  to  receiver.  That  means,  by
                                                               moving  closer  to  one  target  receiver  by  a  unit
                                   ,    1                      distance,  the  return  in  aggregated  utility  at  the
                                ∝     .                               (10)
                                                               transmission node for the whole broadcast packet
                                   ,         ,  
          On the contrast,     should have a positive relation to   is different from what is brought by moving closer
                            
          the  distance  between  the  receiver  j  and  its   to  another  target  receiver.  In  this  way,  the
          interfering nodes, i.e., transmitting nodes that are   transmitter can decide which target receiver is the
          close enough (lies in a distance smaller than a pre-  most rewarding target to move closer to and hence
          defined threshold thI to the receiver j). Although for   a gradient-based updating method may be derived
          one receiver node j, there could be more than one    from  there  to  move  the  transmitter  bit  by  bit
          interferer,  it  could  be  meaningful  to  focus  on  the   iteratively to its optimal position.




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