New Constructions of Quadriphase Periodic Almost-Complementary Pairs

Tao YU; Yang YANG; Hua MENG; Yong WANG

doi:10.1587/transfun.2021EAL2101

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New Constructions of Quadriphase Periodic Almost-Complementary Pairs

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Keywords: Golay complementary pairs (GCP), periodic complementary pair (PCP), periodic almost-complementary pair (P-ACP), almost-perfect sequence

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2022 Volume E105.A Issue 8 Pages 1165-1169

DOI https://doi.org/10.1587/transfun.2021EAL2101

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Abstract

Almost-complementary pairs (ACPs) are sequence pairs whose autocorrelations sum up to zero at all but one non-zero time-shifts. Periodic ACPs (P-ACPs) display almost similar correlation properties to that of the periodic complementary pairs (PCPs). In this letter, we propose systematic constructions of quadriphase P-ACPs (QP-ACPs) from aperiodic (periodic) complementary pairs and almost perfect binary (quadriphase) sequences. The proposed construction gives QP-ACPs of new lengths which are not covered in the literature.

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