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Millimeter Wave RADAR Power-Range Spectra Interpretation    67

                             (b)  100
                                                                         RADAR range bin
                                                                         Features detected
                                                     Adaptive threshold
                                 80


                                 60

                               Power (dB)  40




                                 20



                                  0


                                –20
                                   0    20    40   60    80   100  120   140  160   180   200
                                                           Range (m)

                              FIGURE 2.15 Continued.

                                 From Figure 2.14, it can be seen that if two or more targets are separated
                              by less than the window width M, the local power sum in Equation (2.10) will
                              become large, causing the adaptive threshold to increase, resulting in a missed
                              detection [29]. This is also shown in Figure 2.16b where a return from an object,
                              which lies within M range samples of the first feature is completely missed by
                              the CFAR detector.

                              2.5.1.2 False alarms with CFAR
                              Due to the filtering elements within the RADAR, the power noise in the RADAR
                              range bins is correlated. Therefore, if the window size is too small, all of its
                              power–range samples will be highly correlated. This means that the sum of
                              the power values, calculated in Equation (2.10), will misrepresent the true sum
                              which would be obtained from a set of uncorrelated values. This can ultimately
                              result in the adaptive threshold being set too low, meaning that even noise
                              only power values can exceed it. This gives false alarms. This can be overcome
                              by increasing the window width. However, as explained above, a larger window
                              width can result in the missed detection of features. The occurrence of false
                              alarms is shown in Figure 2.16a and b.




                              © 2006 by Taylor & Francis Group, LLC



                                 FRANKL: “dk6033_c002” — 2006/3/31 — 17:29 — page 67 — #27
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