Spherical sequences with low aperiodic crosscorrelation

TitleSpherical sequences with low aperiodic crosscorrelation
Publication TypeJournal Article
Year of Publication2004
AuthorsBravo, A. M., L. Woodhead, and V. K. Bhargava
JournalCommunications, IEE Proceedings-
Pagination601 - 604
Date Publisheddec.
Keywords4-phase sequence, aperiodic crosscorrelation property, chaotic communication, chaotic generated sequence, correlation theory, genetic algorithm, genetic algorithms, Gold sequence, multidimensional sphere, nonbinary sequence, posterior selection technique, sequences

The authors present a new procedure for the generation of non-binary sequences having superior aperiodic crosscorrelation properties to Gold sequences. The proposed procedure randomly extracts points from the surface of a multidimensional sphere, with a posterior selection technique similar to those used in genetic algorithms. A theoretical model is provided, describing the behaviour of these sequences, and several numerical experiments are performed comparing these sequences with those from the literature. It is demonstrated that these sequences outperform both Gold and chaotic generated sequences and approximate the performance of 4-phase sequences in aperiodic crosscorrelation. The sequences have the additional advantages of inherent privacy, due to their random nature and the unlimited number of sequences per set.


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