A class of binary sequences of lengthN = 2ᵐis considered, and it is shown that their aperiodic autocorrelations can be calculated recursively in a simple way. Based on this, the merit factor of the sequences is calculated and it is shown that the asymptotic value is3. Finally, it is proved that the magnitude of the maximal aperiodic autocorrelation is bounded byN0.9.
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Høholdt et al. (1985) studied this question.
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