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78                                     Autonomous Mobile Robots

                                 (b)                           Trees
                                                                          Wall
                                     RADAR reflectors







                                                                                            30


                                                                                         20

                                   Probability  0.5                                0  10
                                     1
                                     0
                                    –30
                                          –20                                        Distance (m)
                                               –10                              –10
                                                       0
                                        Clutter   Distance (m)  10           –20

                                                                 20
                                                                          –30
                                                                      30
                                FIGURE 2.19 Continued.


                                One of the contributions of this chapter is to predict range bins from new robot
                                positions given an estimate of the vehicle and target states. A new augmented
                                state vector is introduced here which, along with the usual feature coordinates
                                x and y, contains that feature’s normalized RCS, ϒ R , and absorption RCS, ϒ a ,
                                and the RADAR losses, L.
                                   To illustrate this, Figure 2.25 shows a 360  ◦  RADAR scan obtained from an
                                outdoor field. Objects in the environment consist of lamp-posts, trees, fences,
                                and concrete steps. The RADAR penetrates some of the nonmetallic objects, 10
                                and can observe multiple targets down line. This is shown in Figure 2.26, which
                                is the received power vs. range for the particular bearing of 231 marked in
                                                                                     ◦
                                Figure 2.25. Multiple targets down range can occur due to either the beam width
                                of the transmitted wave intersecting two or more objects at differing ranges or
                                due to penetration of the waves through certain objects. The RADAR used here

                                10  At 77 GHz the attenuation through paper, fiberglass, plastic, wood, glass, foliage, etc., are
                                relatively low while attenuation through brick and concrete is high [37].




                                 © 2006 by Taylor & Francis Group, LLC



                                 FRANKL: “dk6033_c002” — 2006/3/31 — 17:29 — page 78 — #38
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