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92    CFAR, cell-averaging (CACFAR)                                                   CFAR, hierarchal



           quency to the target filter. In  pulsed doppler radar, range-  clutter visibility  inherent in the  use of a  high-resolution
           gated filters surrounding the target cell in both range and dop-  search radar  in  non-Rayleigh clutter. Output of the clutter
           pler may be used (Fig. C36).                         map may also be used to control the input dynamic range of
                                                                the receiver, to select  processing paths appropriate  to each
                             Reference cells
                                                                type of interference, and to blank cells containing interference
              From
            receiver                                            so strong that no other processing can prevent false alarms.
                  Integrator
                                                                Clutter-map CFAR is often called temporal [time-averaging]
                                                                CFAR or simply a clutter map. DKB
                                                     Detections
                                                  C             Ref.: Skolnik (1990); Nitzberg (1992), pp. 233–236.
                                   S                            Dicke-fix CFAR is a cell-averaging CFAR technique in the
                                           X                    frequency domain, in which a broadband IF amplifier is fol-
                                                                lowed by a limiter and a narrowband amplifier (Fig. C37).
                                         K
               Figure C35 Cell-averaging CFAR (after Skolnik, 1990,
               Fig. 8.12, p. 8.13).                              From   Wideband         IF      Narrowband  To
                                                                               IF     limiter              IF
                              Doppler                            mixer  amplifier                    amplifier  detector
                            frequency
                                                                       Bandwidth, B  w          Bandwidth, B n
                                                                   Figure C37 Dicke-fix CFAR.
                                     Target detection
                                                 cell
                                                                The effective number of reference cells is equal to the band-
                                                Range
                                                                               w
                                                                                  n
                                                 delay          width ratio, M = B /B . When used with pulse compression,
                                                                the number of cells becomes  BtM, making CFAR  possible
                                        Reference               with M = 1 (see phase-discrimination CFAR). DKB
                                             cells
                                                                Ref.: Skolnik (1980), p. 394.
              Figure C36 Use of  reference  cells from combined range
                                                                distribution-free CFAR (see nonparametric CFAR).
              and doppler regions surrounding the target cell.
                                                                Greater-of cell-averaging CFAR is a technique in which the
               The CFAR constant K is set to produce the desired false-
                                                                reference cells are divided in leading and lagging cells, with
           alarm probability in  the output of the threshold  detector C.
                                                                separate averages being taken (Fig. C38). The greater of the
           The  performance  of cell-averaging CFAR depends on  the
           number of  reference cells and their extent in  the selected
                                                                                 Reference cells
           radar coordinate. A CFAR loss is introduced by the fact that
           the estimate of interference level in the reference cells is sub-    From
                                                                 receiver  Integrator
           ject to random error, which varies inversely with the number
           of cells, forcing the user to use K values higher than would be
                                                                                                           Detections
           used if the estimate were exact. On the other hand, if the num-                               C
           ber of cells is increased to reduce this loss, the circuit fails to
                                                                                S      C      S
           respond to rapid changes in interference level, permitting a                           X
           burst of false alarms to occur when this level increases rap-
                                                                                                 K
           idly. Also, the  greater the  number  of reference  cells  the
                                                                   Figure C38 Greater-of cell-averaging CFAR.
           greater the probability that an adjacent target will fall into the
           reference cells, and distort the threshold setting (see multi-
                                                                two averages is used to control the threshold, permitting more
           ple-target CFAR). Use of combined range and doppler
                                                                rapid adaptivity to changes in the interference environment at
           regions around the target cell is one means of avoiding exces-
                                                                some expense in CFAR loss. The increase in CFAR loss for
           sive delay in CFAR response in either coordinate. DKB
                                                                this configuration, with respect to conventional cell-averag-
           Ref.: Skolnik (1990); Nitzberg (1992), Ch. 9.
                                                                ing CFAR, is typically about 0.2 dB. DKB
           A clutter-map CFAR sets the detection threshold in a given
                                                                Ref.: Nitzberg (1992), pp. 226–229.
           test cell based on the average interference observed in that
                                                                Hierarchal CFAR techniques perform separate calculations
           cell (and often  several adjacent cells) over several scans of
                                                                of the  threshold using  two  methods (e.g.,  CACFAR with
           the antenna. The time average may be determined recursively,
                                                                parameters chosen for an environment of noise, and an adap-
           using an a-b filter. For fluctuating interference, the time aver-
                                                                tive alternative suitable for clutter or jamming). The normal
           aging  increases the precision of the interference estimate
                                                                CACFAR threshold  T is used, with minimum  CFAR loss,
           without extending the spatial extent of the reference region.
                                                                unless the second method yields a threshold, T  > aT, where
           By reducing the size of the reference region (in the limit to                              a
                                                                a > 1. DKB
           the test cell itself), the clutter-map CFAR preserves the inter-
                                                                Ref.: Nitzberg (1992), pp. 245–249.
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