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Thinking More Clearly Through Fuzzy Logic

               Now if we were to read the voltage out of the summing amplifier with an A/D (ana-
               log to digital) converter instead of feeding it to the hardware comparator, then we
               could consider this signal to be proportional to the intrusion threat. We could compare
               this threat level to software thresholds and perform all alarm processing in software.
               Better yet, if we moved back to reading the outputs of the two signal amplifiers, and
               perform the gain balancing, summing, and thresholding in software, then we have
               created a true fuzzy logic intrusion detector. What could be simpler?

               Trapezoidal fuzzy logic

               The simplest form of fuzzy logic is a linear technique referred to as trapezoidal fuzzy
               logic. This technique allows a mere handful of variables to determine the contribu-
               tion functions of each channel.






                                  Threat
                                Contribution



                                                                  P2      P3
                                  80                                        PIR

                                                                        P2 / P3
                                  60                                        MW



                                  40



                                  20

                                     P0    P1  P1                           Signal
                                                                            Strength
                                           20%     40%    60%     80%    100%



                                       Figure 4.3. Trapezoidal fuzzy logic







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