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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.