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TABLE 4.1   Barker Codes



                     As an example, consider the Barker code with N = 13. Representing the
               code sequence of Table 4.1 as the sequence {A } = {1,1,1,1,1,–1,–1,1,1,–1,1,–
                                                                        n
               1,1}              gives              the             autocorrelation                sequence
               {1,0,1,0,1,0,1,0,1,0,1,0,13,0,1,0,1,0,1,0,1,0,1,0,1}. Figure  4.47  illustrates  the
               resulting autocorrelation function obtained by interpolating between the discrete
               autocorrelation samples. In addition to a peak autocorrelation value of N and
               sidelobe peaks equal to 1, the discrete autocorrelation sequence sidelobes of a

               Barker  code  always  follow  an  alternating  pattern  of  zeros  and  ones.
               Consequently,  the  Rayleigh  resolution  is  always τ   seconds  in  time  or cτ /2
                                                                             c
                                                                                                           c
               meters  in  range.  Thus,  the  resolution  is  set  by  the  chip  length  instead  of  the
               complete pulse length.
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