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Millimeter Wave RADAR Power-Range Spectra Interpretation    79

                                 (a)                      Indoor stadium
                                                                           Const. threshold
                                                                           on raw data
                                   20
                                                                           Threshold on
                                                                           probability data
                                   15
                                   10 5

                                  Y distance (m)  –5 0





                                  –10

                                  –15
                                  –20

                                  –25
                                     –30     –20     –10      0       10      20      30
                                                         X distance (m)
                              FIGURE 2.20 Target presence probability vs. range spectra and the corresponding
                              power vs. range taken from a 2D RADAR scan in an indoor environment. The figures
                              shows a comparison of the proposed feature detection algorithm with the constant
                              threshold method. (a) A constant power threshold of 25 dB is chosen and compared with
                              the threshold (0.8) applied on probability-range spectra. (b) A constant power threshold
                              of 40 dB is chosen and compared with the threshold applied to the probability–range
                              spectra.

                              is a pencil beam device, with a beam width of 1.8 . This means that multiple
                                                                      ◦
                              returns within the range spectra occur mostly due to penetration. Therefore a
                              model for predicting entire range spectra, based on target penetration is now
                              given.



                              2.8 RADAR-BASED AUGMENTED STATE VECTOR
                              The state vector consists of the normalized RADAR cross section, ϒ R , absorp-
                              tion cross section, ϒ a , and the RADAR loss constants, L, along with the vehicle
                              state and feature locations. The variables, ϒ R , ϒ a , and L are assumed unique to
                              a particular feature/RADAR. Hence, this SLAM formulation makes the (very)
                              simplified assumption that all features are stationary and that the changes in the
                              normalized values of RCS and absorption cross sections of features when sensed
                                                                                           .
                              from different angles, can be modeled using Gaussian random variables v ϒ i



                              © 2006 by Taylor & Francis Group, LLC



                                 FRANKL: “dk6033_c002” — 2006/3/31 — 17:29 — page 79 — #39
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