Design of Zero Correlation Zone Punctured Quaternary Periodic Complementary Sequence Pairs Sets
Ding Gao Junping Han
Abstract
Ding Gao Junping Han
Abstract
A design method of Zero Correlation Zone (ZCZ) punctured quaternary periodic complementary sequence pairs set is proposed. Based on perfect punctured binary sequences pairs and orthogonal matrix, ZCZ punctured sequence pairs sets can be constructed. Then, by interleaving iteration technique ZCZ punctured periodic complementary sequence pairs sets are obtained. Finally, ZCZ punctured quaternary periodic complementary sequence pairs sets are constructed using novel inverse Gray mapping. The results reach the theoretical bounds and further expand the selectable space of the spread spectrum sequences.
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A design method of Zero Correlation Zone (ZCZ) punctured quaternary periodic complementary sequence pairs set is proposed. Based on perfect punctured binary sequences pairs and orthogonal matrix, ZCZ punctured sequence pairs sets can be constructed. Then, by interleaving iteration technique ZCZ punctured periodic complementary sequence pairs sets are obtained. Finally, ZCZ punctured quaternary periodic complementary sequence pairs sets are constructed using novel inverse Gray mapping. The results reach the theoretical bounds and further expand the selectable space of the spread spectrum sequences.
Key concepts: Interleaving, Complementary sequences, Sequence (biology), Mathematics, Binary number, Inverse, Combinatorics, Set (abstract data type)