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arXiv · 1803.08404

Sequence pairs with asymptotically optimal aperiodic correlation

Christian Günther·Kai-Uwe Schmidt
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Abstract

The Pursley-Sarwate criterion of a pair of finite complex-valued sequences measures the collective smallness of the aperiodic autocorrelations and the aperiodic crosscorrelations of the two sequences. It is known that this quantity is always at least 1 with equality if and only if the sequence pair is a Golay pair. We exhibit pairs of complex-valued sequences whose entries have unit magnitude for which the Pursley-Sarwate criterion tends to 1 as the sequence length tends to infinity. Our constructions use different carefully chosen Chu sequences.

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Christian Günther, Kai-Uwe Schmidt. 2018-03-22. Sequence pairs with asymptotically optimal aperiodic correlation. https://arxiv.org/abs/1803.08404

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