Page 417 - Fundamentals of Radar Signal Processing
P. 417

(2010). However, it is more useful to introduce the coincidence algorithm for

               determining n . This technique is essentially a graphical implementation of the
                               t
               CRT  (Hovanessian,  1976;  Morris  and  Harkness,  1996).  The  method  is  best
               illustrated with an example. Again presume that r = 3 PRFs are used. Suppose
               that there are two targets with true ranges corresponding to range bins n  = 6 and
                                                                                                    a
               n  = 11. Further suppose that PRFs are such that the number of range bins in
                b
               each unambiguous range interval are N  = 7, N  = 8, and N  = 9. This means that
                                                                                    2
                                                                      1
                                                             0
               the  first  target  is  actually  unambiguous  at  each  PRF,  while  the  second  is
               ambiguous at each PRF. The measured data will be







                                                                                                     (5.133)

               This measurement scenario is illustrated in Fig. 5.37.













               FIGURE 5.37   Notional measured data for illustrating coincidence algorithm for
               range ambiguity resolution.



                     The  graphical  technique  proceeds  by  taking  the  pattern  of  detections  at
               each PRF and replicating it as shown in Fig. 5.38. In essence, the replication
               implements Eq. (5.126), placing a detection at each value of n  + kN  and n  +
                                                                                          a
                                                                                                          b
                                                                                                  0
               kN  within the maximum detection range of the radar. These detections represent
                  0
               the plausible ranges for each target at each PRF. The algorithm then searches for
               a range bin that exhibits a detection at all three PRFs, indicating that that range
               bin  is  consistent  with  the  measurements  at  all  three  PRFs. As  shown  in Fig.
               5.38, this process correctly detects the true range bins n  = 6 and n  = 11 in this
                                                                                  a
                                                                                               b
               example.
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