Page 527 - Fundamentals of Radar Signal Processing
P. 527

FIGURE 6.30   Comparison of CA CFAR and OS CFAR on the same data as Fig.

               6.27.


                     To  determine  the  OS  CFAR  loss,  it  is  necessary  to  determine  the  SNR

               required to obtain a specified   for a given   and compare that result to the
               ideal threshold or to CA CFAR in homogeneous interference. By repeating the
               analysis  above  but  using  the  Swerling  1  or  Swerling  2  model  (Rayleigh
               amplitude PDF) for the test cell, it can be shown that the average probability of
               detection  is  also  given  by Eq.  (6.167),  but  with α   replaced  by  (Levanon,
                                                                               OS
               1988)





                                                                                                     (6.169)

               where   is the average SNR of the target. By varying α   or                   , curves of
                                                                                   OS
               versus    can  be  developed  and  the  CFAR  loss  calculated.  An  alternative
               analysis approach is given by Blake (1988). In the absence of interfering targets,
               the  OS-CFAR  suffers  a  small  additional  loss  over  CA  CFAR.  The  value
               depends  on  both k  and N  but  is  typically  on  the  order  of  0.3  to  0.5  dB.  If
               interfering targets are present, the OS CFAR loss increases only very slowly

               until the number of interferers exceeds N – k, the number of “ignored” high-rank
               cells. In contrast, the loss in CA CFAR increases very rapidly in this case due
               to  the  elevated  estimate  of  the  interference  power  (Blake,  1988).  Thus,  OS
               CFAR losses are lower than CA CFAR losses in the presence of interferers.
               Additional  results  on  the  performance  of  OS  CFAR,  including  the  effect  of
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