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- Title
Balanced optimal almost binary sequence pairs of period N ≡ 1mod4 N.
- Authors
PENG Xiuping; LI Hongxiao; WANG Shide; LIN Hongbin
- Abstract
Based on the combinatorial design theory, the constructions of balanced optimal almost binary sequence pairs of period N = 1(mod4) were researched. The maximal cross-correlation values 0c were obtained by different combinations of (almost) binary sequence pairs. Furthermore, three new bounds on the autocorrelation values under the precondition of the value of 0c =1,2,3 were presented individually. Meanwhile, four types of balanced (almost) optimal almost binary sequence pairs were generated, which satisfied the cross-correlation values and autocorrelation theory bounds. Through the constructions, the range of the cross-correlation values is expanded and the cross-correlation value of the optimal binary sequence pairs is further reduced. More than odd, the value of sequence length parameter f can be any integer, which enriches the existence space of the optimal binary sequence pair.
- Publication
Journal on Communication / Tongxin Xuebao, 2022, Vol 42, Issue 12, p163
- ISSN
1000-436X
- Publication type
Article
- DOI
10.11959/j.issn.1000-436x.2021078